Journal articles: 'Zero-Order optimization'

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Kolosnitsyn, Anton, Oleg Khamisov, Eugene Semenkin, and Vladimir Nelyub. "Application of the Parabola Method in Nonconvex Optimization." Algorithms 17, no. 3 (March 1, 2024): 107. http://dx.doi.org/10.3390/a17030107.

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We consider the Golden Section and Parabola Methods for solving univariate optimization problems. For multivariate problems, we use these methods as line search procedures in combination with well-known zero-order methods such as the coordinate descent method, the Hooke and Jeeves method, and the Rosenbrock method. A comprehensive numerical comparison of the obtained versions of zero-order methods is given in the present work. The set of test problems includes nonconvex functions with a large number of local and global optimum points. Zero-order methods combined with the Parabola method demonstrate high performance and quite frequently find the global optimum even for large problems (up to 100 variables).

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Lazari, Alexandru. "Optimization of Zero-Order Markov Processes with Final Sequence of States." Universal Journal of Applied Mathematics 1, no. 3 (November 2013): 198–206. http://dx.doi.org/10.13189/ujam.2013.010307.

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Jiang, Peng Yu, Zhu Ming Lin, Jin Xu, and Jian Qun Sun. "A Particle Swarm Optimization Algorithm for Minimizing Weight of the Composite Box Structure." Advanced Materials Research 430-432 (January 2012): 470–75. http://dx.doi.org/10.4028/www.scientific.net/amr.430-432.470.

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The particle swarm optimization was applied to the optimum design of the composite box structure.The total weight of the structure was taken as the objective function.A technique of applying PSO integrated with general finite element code was developed for the optimization.Optimization was also conducted using zero-order method included in ANSYS and a comparison was made between zero-order method and PSO.Results demonstrate that PSO can find the global optimal design with higher efficiency regardless of the initial designs.for zero-order method the optimum solution is worst than the result of the PSO optimum.

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Poveda, Jorge I., and Na Li. "Robust hybrid zero-order optimization algorithms with acceleration via averaging in time." Automatica 123 (January 2021): 109361. http://dx.doi.org/10.1016/j.automatica.2020.109361.

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Kannan, B. K., and S. N. Kramer. "An Augmented Lagrange Multiplier Based Method for Mixed Integer Discrete Continuous Optimization and Its Applications to Mechanical Design." Journal of Mechanical Design 116, no. 2 (June 1, 1994): 405–11. http://dx.doi.org/10.1115/1.2919393.

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An algorithm for solving nonlinear optimization problems involving discrete, integer, zero-one, and continuous variables is presented. The augmented Lagrange multiplier method combined with Powell’s method and Fletcher and Reeves Conjugate Gradient method are used to solve the optimization problem where penalties are imposed on the constraints for integer/discrete violations. The use of zero-one variables as a tool for conceptual design optimization is also described with an example. Several case studies have been presented to illustrate the practical use of this algorithm. The results obtained are compared with those obtained by the Branch and Bound algorithm. Also, a comparison is made between the use of Powell’s method (zeroth order) and the Conjugate Gradient method (first order) in the solution of these mixed variable optimization problems.

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Jha, Ishan, and Krishna K. Pathak. "Fuzzy-based integrated zero-order shape optimization of steel–concrete–steel sandwich beams." Current Science 121, no. 7 (October 10, 2021): 941. http://dx.doi.org/10.18520/cs/v121/i7/941-949.

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Duchi, John C., Michael I. Jordan, Martin J. Wainwright, and Andre Wibisono. "Optimal Rates for Zero-Order Convex Optimization: The Power of Two Function Evaluations." IEEE Transactions on Information Theory 61, no. 5 (May 2015): 2788–806. http://dx.doi.org/10.1109/tit.2015.2409256.

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JIN, Xinghua, Yunhui ZHANG, Li XIAO, and Zhenyu ZHAO. "Optimization of Extended Zero-order Release Gliclazide Tablets Using D-optimal Mixture Design." YAKUGAKU ZASSHI 128, no. 10 (October 1, 2008): 1475–83. http://dx.doi.org/10.1248/yakushi.128.1475.

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Maione, G., R. Caponetto, and A. Pisano. "Optimization of zero–pole interlacing for indirect discrete approximations of noninteger order operators." Computers & Mathematics with Applications 66, no. 5 (September 2013): 746–54. http://dx.doi.org/10.1016/j.camwa.2013.01.007.

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Parimi, Ravi, Rama Rao Vadapalli, and K. E. Pravallika. "Development and Optimization of Wax Matrix Tablets of Levetiracetam for Zero-order Controlled Release." International Journal of Pharmaceutical Sciences and Drug Research 13, no. 03 (March 3, 2020): 246–52. http://dx.doi.org/10.25004/ijpsdr.2021.130302.

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The major objective of this work was to develop once-daily, extended-release tablets with zero-order drug release for levetiracetam using the wax matrix as the release retarding element. Extending drug release for highly water-soluble drugs is always a challenge. In this work, levetiracetam, a highly soluble drug, was chosen for which extended-release matrix tablets were developed using different waxes such as Compritol ATO 888, Imwitor 491, tristearin, and cetylpalmitateas rate controlling materials taken in different amounts. PEG 6000 was used to regulate water availability inside the wax matrix, and lactose was used as a pore-forming agent to aid the release of the drug from the wax matrix. Tablets were prepared by embedding the drug into the molten wax, followed by solidification, sieving, mixing with other excipients, and finally compression. The prepared tablets were tested for hardness, tensile strength, friability, drug content, and drug release studies. Type of wax, amount of wax, and PEG 6000 were optimized to achieve controlled drug release for about 24 hours. All the tablets showed good tensile strength in the range of 0.59–0.70 N/mm2, packing fraction in the range of 0.85–0.92, and friability in the range of 0.42–55%, indicating their solid physical integrity. The drug release studies indicated that the tablets prepared with tristearin showed better control among the waxes taken. The tablets containing 150mg of tristearin, 50mg of PEG 6000, and 50 mg of lactose showed controlled drug release for 24 hours with the zero-order release.

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Ram, V. Dhanya, A. Karlmarx, and M. Chidambaram. "Identification of Unstable Second-order Transfer Function Model with a Zero by Optimization Method." Indian Chemical Engineer 58, no. 1 (December 17, 2014): 29–39. http://dx.doi.org/10.1080/00194506.2014.990240.

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de Figueiredo, Felipe A. P., Edwin Moncada-Villa, and Jorge Ricardo Mejía-Salazar. "Optimization of Magnetoplasmonic ε-Near-Zero Nanostructures Using a Genetic Algorithm." Sensors 22, no. 15 (August 3, 2022): 5789. http://dx.doi.org/10.3390/s22155789.

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Magnetoplasmonic permittivity-near-zero (ε-near-zero) nanostructures hold promise for novel highly integrated (bio)sensing devices. These platforms merge the high-resolution sensing from the magnetoplasmonic approach with the ε-near-zero-based light-to-plasmon coupling (instead of conventional gratings or bulky prism couplers), providing a way for sensing devices with higher miniaturization levels. However, the applications are mostly hindered by tedious and time-consuming numerical analyses, due to the lack of an analytical relation for the phase-matching condition. There is, therefore, a need to develop mechanisms that enable the exploitation of magnetoplasmonic ε-near-zero nanostructures’ capabilities. In this work, we developed a genetic algorithm (GA) for the rapid design (in a few minutes) of magnetoplasmonic nanostructures with optimized TMOKE (transverse magneto-optical Kerr effect) signals and magnetoplasmonic sensing. Importantly, to illustrate the power and simplicity of our approach, we designed a magnetoplasmonic ε-near-zero sensing platform with a sensitivity higher than 56∘/RIU and a figure of merit in the order of 102. These last results, higher than any previous magnetoplasmonic ε-near-zero sensing approach, were obtained by the GA intelligent program in times ranging from 2 to 5 min (using a simple inexpensive dual-core CPU computer).

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Jain, Madhu, Maneesha Gupta, and N. K. Jain. "Analysis and Design of Digital IIR Integrators and Differentiators Using Minimax and Pole, Zero, and Constant Optimization Methods." ISRN Electronics 2013 (June 6, 2013): 1–14. http://dx.doi.org/10.1155/2013/493973.

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Proposed work deals with the design of a family of stable IIR digital integrators via use of minimax and pole, zero, and constant optimization methods. First the minimax optimization method is used to design a family of second-, third-, and fourth-order digital integrators by optimizing the magnitude response in a min-max sense under the satisfactory condition of constant group delay. Then the magnitude and group delay response is further improved using pole, zero, and constant optimization method. Subsequently, by modifying the transfer function of all of the designed integrators appropriately, new differentiators are obtained. Simulation results show that proposed approach outperforms existing design methods in terms of both magnitude and phase response.

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Wei, Jiasen, Jan Oscar Pralits, and Alessandro Bottaro. "Optimization of a thermoacoustic system." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 265, no. 7 (February 1, 2023): 552–63. http://dx.doi.org/10.3397/in_2022_0076.

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Clean combustion such as hydrogen combustion for the reduction of NOx emission is prone to thermoacoustic instabilities, which may cause structural vibrations and equipment failures. In the present work, an adjoint-based sensitivity analysis is applied to a low-order thermoacoustic model with a non-zero mean flow. The adjoint-based analysis can be a powerful tool to yield information for optimization techniques to eliminate or control such instabilities. With quick and low-cost calculations, structural sensitivity and base-state sensitivity are achieved and the conditions most sensitive to instabilities are identified.

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Anop, Maxim, Evgenii Murashkin, and Marina V. Polonik. "On Zero-Order Optimization in Problem of the Pressure Computing in Finite Elastic-Creep Deformations." Key Engineering Materials 685 (February 2016): 300–304. http://dx.doi.org/10.4028/www.scientific.net/kem.685.300.

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The present study is devoted to the problem of optimal loading pressure identification by the prescribed displacements vector. The framework of finite elastocreep strains is used. The problem of deformation of the material in the vicinity of microdefect was considered. Integro-differential equations for the external pressure, irreversible deformations and displacements were derived. The simple zero-order optimization algorithm like the Monte Carlo method for considering problem was proposed. The optimal strain-stress state parameters were computed and analyzed.

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Oprzędkiewicz, Krzysztof. "Approximation method for a fractional order transfer function with zero and pole." Archives of Control Sciences 24, no. 4 (December 1, 2014): 447–63. http://dx.doi.org/10.2478/acsc-2014-0024.

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Abstract The paper presents an approximation method for elementary fractional order transfer function containing both pole and zero. This class of transfer functions can be applied for example to build model - based special control algorithms. The proposed method bases on Charef approximation. The problem of cancelation pole by zero with useful conditions was considered, the accuracy discussion with the use of interval approach was done also. Results were depicted by examples.

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Ma, Jin Hong, Bin Tao, and Xiao Han Yao. "Structure Optimization of the Housing Fillet Using SA Combined with FEM." Advanced Materials Research 898 (February 2014): 217–20. http://dx.doi.org/10.4028/www.scientific.net/amr.898.217.

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The housing fillet of universal mill affects the strengthen and stiffness of mill. It is necessary to optimize the housing fillet. In this paper, the simulated annealing algorithm (SA) combined with finite element method (FEM) , a new kind of structural optimization method is established. MATLAB language is used to compile the program combined the SA with FEM to optimize housing fillet of universal mill. Compared with the zero order and first order optimization method of ANSYS program, the result of this optimal method is better.

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Muhafzan, Zulakmal, Y. M. Putri, and L. W. June. "Minimum energy control of fractional-order differential-algebraic system." Cybernetics and Physics, Volume 11, 2022, Number 3 (November 17, 2022): 151–56. http://dx.doi.org/10.35470/2226-4116-2022-11-3-151-156.

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This paper discusses the minimum energy control problem of fractional-order differential-algebraic system. The main aim of this paper is to find the minimum energy that drives an initial state of the fractional order differential-algebraic system to the zero state such that an index performance is minimized. The method of solving is to convert the minimum energy control problem of fractional-order differential-algebraic system into the standard fractional-order linear quadratic optimization problem by using a transformation and further solve the standard fractional-order linear quadratic optimization using the available theory in the literature. Under some particular conditions, we find the explicit formulas of the minimum energy control of fractional-order differential-algebraic system in Mittag-Leffler terms.

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Wang, Hong Xin, and Ning Dai. "A Mathematical Principle and Application on Design of Planar Six-Bar Mechanism with unto Three-Ordered Intermission at Limit Position(s)." Applied Mechanics and Materials 37-38 (November 2010): 9–13. http://dx.doi.org/10.4028/www.scientific.net/amm.37-38.9.

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A non-iterative design method about high order intermittent mechanisms is presented. The mathematical principle is that a compound function produced by two basic functions, and then one to three order derivatives of the compound function are all zeroes when one order derivative of each basic function is zero at the same moment. The design method is that a combined mechanism is constructed by six bars; the displacement functions of the front four-bar and back four-bar mechanisms are separately built, let one order derivatives of two displacement functions separately be zero at the same moment, and then get geometrical relationships and solution on the intermittent mechanism. A design example shows that this method is simpler and transmission characteristics are better than optimization method.

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Chen, Chulung, and Chih-Sung Wu. "Polychromatic pattern recognition using the non-zero-order joint transform correlator with cross-correlation peak optimization." Journal of Modern Optics 50, no. 9 (June 2003): 1353–64. http://dx.doi.org/10.1080/09500340308235209.

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Wang, Hao. "Improving Neural Network Generalization on Data-Limited Regression with Doubly-Robust Boosting." Proceedings of the AAAI Conference on Artificial Intelligence 38, no. 18 (March 24, 2024): 20821–29. http://dx.doi.org/10.1609/aaai.v38i18.30071.

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Enhancing the generalization performance of neural networks given limited data availability remains a formidable challenge, due to the model selection trade-off between training error and generalization gap. To handle this challenge, we present a posterior optimization issue, specifically designed to reduce the generalization error of trained neural networks. To operationalize this concept, we propose a Doubly-Robust Boosting machine (DRBoost) which consists of a statistical learner and a zero-order optimizer. The statistical learner reduces the model capacity and thus the generalization gap; the zero-order optimizer minimizes the training error in a gradient-free manner. The two components cooperate to reduce the generalization error of a fully trained neural network in a doubly robust manner. Furthermore, the statistical learner alleviates the multicollinearity in the discriminative layer and enhances the generalization performance. The zero-order optimizer eliminates the reliance on gradient calculation and offers more flexibility in learning objective selection. Experiments demonstrate that DRBoost improves the generalization performance of various prevalent neural network backbones effectively.

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Meng, Yufeng, Jianhua He, Shichu Luo, Siqi Tao, and Jiancheng Xu. "An improved predator-prey particle swarm optimization algorithm for Nash equilibrium solution." PLOS ONE 16, no. 11 (November 24, 2021): e0260231. http://dx.doi.org/10.1371/journal.pone.0260231.

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Focusing on the problem incurred during particle swarm optimization (PSO) that tends to fall into local optimization when solving Nash equilibrium solutions of games, as well as the problem of slow convergence when solving higher order game pay off matrices, this paper proposes an improved Predator-Prey particle swarm optimization (IPP-PSO) algorithm based on a Predator-Prey particle swarm optimization (PP-PSO) algorithm. First, the convergence of the algorithm is advanced by improving the distribution of the initial predator and prey. By improving the inertia weight of both predator and prey, the problem of “precocity” of the algorithm is improved. By improving the formula used to represent particle velocity, the problems of local optimizations and slowed convergence rates are solved. By increasing pathfinder weight, the diversity of the population is increased, and the global search ability of the algorithm is improved. Then, by solving the Nash equilibrium solution of both a zero-sum game and a non-zero-sum game, the convergence speed and global optimal performance of the original PSO, the PP-PSO and the IPP-PSO are compared. Simulation results demonstrated that the improved Predator-Prey algorithm is convergent and effective. The convergence speed of the IPP-PSO is significantly higher than that of the other two algorithms. In the simulation, the PSO does not converge to the global optimal solution, and PP-PSO approximately converges to the global optimal solution after about 40 iterations, while IPP-PSO approximately converges to the global optimal solution after about 20 iterations. Furthermore, the IPP-PSO is superior to the other two algorithms in terms of global optimization and accuracy.

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Tian, Shu Ai, Ya Zhou Xu, and Zhi Xue Wu. "A Gradient-Less Shape Optimization for Elastic Contact Problems." Advanced Materials Research 538-541 (June 2012): 2526–30. http://dx.doi.org/10.4028/www.scientific.net/amr.538-541.2526.

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A shape optimization method for solving elastic contact problems is proposed based on gradient-less idea(a zero order optimization method). It is found that the contact stress on the elastic contact surface can be smoothed and reduced effectively by both changing the contact surface shape and changing the shape of non-contact surface. To avoid mesh distortion that results in undesirable shape, a move stratrgy for nodal movement has been used in the finite element model. Two examples are presented to show the effectiveness of the proposed method in dealing with elastic contact problems.

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Baldissera, Paolo, and Cristiana Delprete. "Fatigue Focused Optimization of Treatment Parameters – A Case Study about Deep Cryogenic Treatment." Key Engineering Materials 488-489 (September 2011): 498–501. http://dx.doi.org/10.4028/www.scientific.net/kem.488-489.498.

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The problem of treatment parameter optimization focused on the fatigue resistance is analysed through a case study about Deep Cryogenic Treatment (DCT) of AISI 302 steel. In particular, the possibility to integrate fatigue data fittings through the Maximum Likelihood Estimation (MLE) method in the optimization process is evaluated. Two levels of two parameters (soaking time and temperature) are considered and then expanded to three by proper scaling of their values in order to include the untreated case as a “zero” level. Fatigue focused optimization is then achieved by standard Response Surface Method (RSM) and by MLE with two models for comparison purposes.

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Lai, Yiyang, and Zengping Wang. "An Identification Algorithm of Relay Protection Parameter for Flexible High-Voltage Direct Current Transmission Lines Under Synchronous Sampling." Journal of Nanoelectronics and Optoelectronics 17, no. 7 (July 1, 2022): 1047–55. http://dx.doi.org/10.1166/jno.2022.3287.

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Relay protection device is a protection device when the flexible DC transmission line is long and leads to line failure. Therefore, in order to ensure the reliable identification of relay protection parameters, an identification algorithm of relay protection parameter for flexible DC transmission line under synchronous sampling is proposed. By calculating the relay protection parameters based on synchronous sampling, the algorithm obtains the positive sequence parameters and zero sequence parameters of flexible DC transmission line’s relay protection, and uses the matrix beam algorithm to identify the positive sequence parameters and zero sequence parameters, so as to obtain the subsynchronous oscillation modal parameters. In order to improve the identification effect, the extended particle swarm optimization algorithm is used to optimize the identification results. The test results show that the algorithm has the feasibility of relay protection parameter identification and the calculation function of positive sequence parameters and zero sequence parameters of relay protection device. It can reliably identify the current change and the change results of positive sequence parameters and zero sequence parameters with minimal identification error.

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PALANCA, MARCO, TOMMASO MARIA BRUGO, and LUCA CRISTOFOLINI. "USE OF DIGITAL IMAGE CORRELATION TO INVESTIGATE THE BIOMECHANICS OF THE VERTEBRA." Journal of Mechanics in Medicine and Biology 15, no. 02 (April 2015): 1540004. http://dx.doi.org/10.1142/s0219519415400047.

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Digital image correlation (DIC) is being introduced to the biomechanical field. However, as DIC relies on a number of major assumptions, it requires a careful optimization in order to obtain accurate and precise results. The first step was the preparation of the speckle pattern by an airbrush spray gun following a factorial design to explore the different settings: the different speckle patterns created were analyzed to achieve the optimal speckle size, with minimal dispersion of speckle sizes. A benchmark test, with an aluminum specimen prepared with the speckle pattern, was conducted in which the errors affecting the computed strain were measured in a zero-displacement, zero-strain condition. The software parameters (facet size, step, and local regression) were singularly analyzed in order to understand their behavior on the final output. Moreover, the hardware parameters (camera gain, exposure, lens distortion) were analyzed. The output showed that a careful optimization allowed the reducing the systematic and random errors, respectively, from 150 to 10 microstrain and from 600 to 110 microstrain. Finally, the acquired know-how was applied to a biological specimen (human vertebra).

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Liu, Shihao, Yanbin Du, and Mao Lin. "Study on lightweight structural optimization design system for gantry machine tool." Concurrent Engineering 27, no. 2 (March 7, 2019): 170–85. http://dx.doi.org/10.1177/1063293x19832940.

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In order to improve the efficiency and effectiveness of the lightweight design of the gantry machine tool, a lightweight structural optimization design system for the gantry machine tool was constructed. Serialized gantry machine tools were parametrically modeled, and a load model with multiple operating conditions was established. A twice optimization design method integrating zero-order optimization, parameter rounding, and structural re-optimization was proposed. Using the proposed method, a lightweight structural optimization design system for gantry machine tool with parametric design, lightweight design, and other functions was developed. The developed gantry machine tool lightweight structural optimization design system was applied to complete the lightweight structural optimization design of gantry frame of a certain gantry machine tool, so the structural parameters of the gantry frame were optimized. Although the maximum stress and the maximum deformation of the gantry frame increases within the allowable range, the experimental comparison before and after the optimization shows that the mass of the whole gantry frame is reduced by 9.24%, which is beneficial to save the manufacturing cost. The research results show that the constructed lightweight structural optimization design system of the gantry machine tool has high engineering practicality.

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Zhang, Yong Jie, and Peng Tao. "Structural Analysis and Optimization of Aluminum Triple-Bubble Cabin." Advanced Materials Research 219-220 (March 2011): 1117–20. http://dx.doi.org/10.4028/www.scientific.net/amr.219-220.1117.

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Based on 150 seats BWB civil aircraft, an aluminum triple-bubble cabin model are built. By large deformation analysis, the triple-bubble cabin is indicated the bending stress theory of non-cylindrical fuselage in the internal pressure. Zero-order parameter optimization arithmetic is employed to optimize the sizes of skin, stringers, beams and ribs in the triple-bubble cabin. By restricting the maximum stress and deformation, a light triple-bubble cabin configuration is obtained. The structural analysis method on the aluminum triple-bubble cabin is reliable and applicable.

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Poelmans, Ward, Mario Van Raemdonck, Brecht Verstichel, Stijn De Baerdemacker, Alicia Torre, Luis Lain, Gustavo E. Massaccesi, Diego R. Alcoba, Patrick Bultinck, and Dimitri Van Neck. "Variational Optimization of the Second-Order Density Matrix Corresponding to a Seniority-Zero Configuration Interaction Wave Function." Journal of Chemical Theory and Computation 11, no. 9 (August 14, 2015): 4064–76. http://dx.doi.org/10.1021/acs.jctc.5b00378.

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Boccardo, Lucio. "Regularizing effect of the interplay between coefficients in Dirichlet problems with convection or drift terms." ESAIM: Control, Optimisation and Calculus of Variations 27 (2021): 47. http://dx.doi.org/10.1051/cocv/2021015.

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There are very important results by Enrique Zuazua on the subject of the convection-diffusion equation ut−div(a(x)∇u)=−d⋅∇(|u|q−1u), in (0,+∞) × ℝN. In some sense this paper deals with a linear (i.e. q = 1) elliptic counterpart of the above equation if d is not constant. We prove regularizing results on the solutions, under assumptions of interplay between the datum and the coefficient of the zero order term or between the modulus of the drift and the coefficient of the zero order term.

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Sharma, Vijay, Charanjeet Singh, Anil K. Gupta, and Yashwant . "Development and Optimization of Eperisone Hydrochloride Microcapsule." INTERNATIONAL JOURNAL OF DRUG DELIVERY TECHNOLOGY 14, no. 01 (March 25, 2024): 230–35. http://dx.doi.org/10.25258/ijddt.14.1.34.

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The main objective of the work is to develop the microcapsule of eperisone hydrochloride. In the investigation, a 23-factorial design were was employed for the optimization process and to investigate the effect of Eudragit® RS100 concentration in the coating solution (X1), the speed of rotation (X2) and the concentration of plasticizer (PEG 400) (X3) on the release rate of the drug from the microcapsules. The extent of coating (Y1), and the percentage of drug released at 1 (Y2), 6 (Y3) and 12 hours (Y4) were selected as dependent variables. Optimized microcapsules of eperisone hydrochloride follow the zero-order kinetics that a promising controlled release of the highly water soluble drug and was successfully designed for further formulation.

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Liu, Shuangjie, Fei Zheng, and Yongping Hao. "Research on the Optimization of Synchronous Switch Energy Harvesting Circuit Based on Capacitor." Electronics 12, no. 19 (September 28, 2023): 4070. http://dx.doi.org/10.3390/electronics12194070.

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As advanced systems continue to advance and fuse functions expand, the demand for higher power supply requirements for fuses has increased. Consequently, researchers have turned their attention to the recovery of energy from the environment. Piezoelectric energy harvesting has gained significant popularity due to its advantageous characteristics, such as high energy density, ease of implementation, and compact size. However, the presence of various component types within the energy harvesting circuit inevitably results in the generation of reactive power, leading to a reduction in the circuit’s power factor. To address this issue, this paper introduces the adoption of the third-order valley-fill circuit as the power factor correction circuit. The implementation process involves the utilization of Multisim software to simulate the double-limit zero-crossing detection circuit, pulse signal generation circuit, and power factor correction circuit. Furthermore, the aforementioned circuits were subjected to plate-level welding, followed by individual tests to evaluate the effectiveness of the double-limit zero-crossing detection, pulse signal test, and load voltage measurement. These findings unequivocally exemplify the successful accomplishment of the intended objective of augmenting the output power by the third-order valley-fill circuit.

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Curry, James H. "On zero finding methods of higher order from data at one point." Journal of Complexity 5, no. 2 (June 1989): 219–37. http://dx.doi.org/10.1016/0885-064x(89)90005-8.

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Liu, Yicen, Xiaojiang Liu, Songhai Fan, Xiaomin Ma, and Sijing Deng. "Single-phase-to-ground Fault Line Selection Method Based on STOA-SVM." Journal of Physics: Conference Series 2095, no. 1 (November 1, 2021): 012029. http://dx.doi.org/10.1088/1742-6596/2095/1/012029.

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Abstract In view of the complex characteristics of nonlinearity and non-stableness of the zero-order current of each line after the single-phase ground fault of the distribution network, a distribution network fault selection method based on Sooty Tern Optimization Algorithm(STOA) and the combination of support vector machine is proposed. At first, the zero-sequence current before and after fault is obtained, then five kinds of IMFs including different components are obtained by ensemble empirical mode decomposition, and the energy entropy of the fault transient zero-sequence current is obtained by Hilbert transform, the results of training and testing are obtained by inputting the feature vector. The simulation results show that the accuracy of the proposed line selection model is 97.5%.

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Belov, M. S. "RUA Method. Method for Ensuring the Safety of Work for Chemical and Petrochemical Industries." Issues of Risk Analysis 17, no. 4 (August 29, 2020): 44–53. http://dx.doi.org/10.32686/1812-5220-2020-17-4-44-53.

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In order to assess the risks and determine the optimal actions to ensure the safety of work at chemical and petrochemical plants, a method has been developed that allows identifying operations that require optimization and the introduction of additional protective measures. A brief overview of the key factors that affect the safety and effectiveness of operations is provided. The method is based on the concept of zero injuries — Vision Zero, which assumes that absolutely all accidents at work can be prevented. This method is necessary for a deeper analysis of production operations and improving the level of safety protection.

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Harahap, L. A., S. B. Daulay, and A. P. Munir. "Bone powder miller optimization." IOP Conference Series: Earth and Environmental Science 1241, no. 1 (September 1, 2023): 012062. http://dx.doi.org/10.1088/1755-1315/1241/1/012062.

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Abstract Bone waste has started to emerging problem worldwide with the rise of meat consumption, thus the further processing of bone waste would help in tackling the problem as the powdered bone itself can be used for various use, from animal feed additive to cement replacement in concrete making. The built bone powder miller has performance of effective capacity of 12.03 kg/hour, 8% damaged product, and 0.35% bone powder moisture, in order to attain better performance, the miller thus optimized through the means of varying drying temperature, sieve hole size, rotation speed and testing several levels of workloads and finally testing various bone material to be powdered. Individual optimization procces was able to show best performance for optimized variables, but has no improvement to miller performance using original setting. the bone miller is expected to be able to alleviate cow bone waste problem and converting it to usable materials in form of bone powder, in turn, contributing to waste reduction while adopting zero waste concept for sustainable agricultural production.

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Zeng, Zhi, Li Jun Wang, and Xun Bo Li. "Numerical Optimization Design on the Parameters of Double Ellipsoid Welding Heat Source." Advanced Materials Research 189-193 (February 2011): 2329–34. http://dx.doi.org/10.4028/www.scientific.net/amr.189-193.2329.

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The main objective of this study is to generate new understanding and improve computational method for optimization design on the parameters of double ellipsoid welding heat source. On the basis of Infrared measurement (IR), two optimization design methods, the zero-order method and first-order method, were combined to confirm the heat source parameters. The simulated thermal cycles, the weld penetration and the weld width were consistent to the experimental results with such corrected parameters. The effects of the parameters were analyzed by gradient evaluation method. It presents that as each of the parameters increasing, the peak temperature in the thermal cycle declines. Of all the three parameters, the sensitivities of the weld penetration and width with parameter c are great.

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Nguyen, Trang Thi Doan, and Hai Thanh Le. "RESEARCH ON PROPOSING ZERO EMISSION/WASTE MODEL AND CRITERION FOR BREWING ENTERPRISES UNDER VIETNAM CONDITIONS AIMING TO SUSTAINABLE DEVELOPMENT." Science and Technology Development Journal 13, no. 3 (September 30, 2010): 76–91. http://dx.doi.org/10.32508/stdj.v13i3.2145.

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Vietnam brewing is a well developed industry, which makes big contribution to the development of the countrry. On the other hand, the industry magnifies the environmental problem including waste (solid, gas and liquid) and energy consumption (fossil fuel in brief). Based on “zero emission/waste” principle and the analysis of the integrated BAT – ZETS measures (with optimization of process, upsizing and recycling etc.) This study aims to close-the-circle initiative of “zero emission/waste” in general shows its feasibility in this field, through “zero waste/emission model”. In this paper, the suggested zero waste/emission model for Vietnam Brewery Ltd, Dist.12, HCM City – the research’s case study – is established in order to improve clearer the efficiency and feasibility of suitable zero waste/emission model application for Vietnam brewing industry. In accordance with the suggested model, a set of zero emission/waste model application assessment criterios has been developed. The duty of this set of criterios is to define the brewing unit to be feasibility in “installing” this model, or not.

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Wang, Xiaofeng, and Dongdong Ruan. "Convergence ball of a new fourth-order method for finding a zero of the derivative." AIMS Mathematics 9, no. 3 (2024): 6073–87. http://dx.doi.org/10.3934/math.2024297.

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<abstract><p>There are numerous applications for finding zero of derivatives in function optimization. In this paper, a two-step fourth-order method was presented for finding a zero of the derivative. In the research process of iterative methods, determining the ball of convergence was one of the important issues. This paper discussed the radii of the convergence ball, uniqueness of the solution, and the measurable error distances. In particular, in contrast to Wang's method under hypotheses up to the fourth derivative, the local convergence of the new method was only analyzed under hypotheses up to the second derivative, and the convergence order of the new method was increased to four. Furthermore, different radii of the convergence ball was determined according to different weaker hypotheses. Finally, the convergence criteria was verified by three numerical examples and the new method was compared with Wang's method and the same order method by numerical experiments. The experimental results showed that the convergence order of the new method is four and the new method has higher accuracy at the same cost, so the new method is finer.</p></abstract>

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Sadeghi, Ilin, Pooya Arbab, Mahdi Fathizadeh, Hoseen Fakhraee, and Mahdi Amrollahi. "Optimization of Nano- Photocatalytic Reactor for Organophosphorus Degradation." Advances in Materials Science and Engineering 2012 (2012): 1–5. http://dx.doi.org/10.1155/2012/510123.

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The photocatalytic decontamination of triethyl phosphate (TEP) is studied by the UV/nano-TiO2process. The nano-TiO2concentration and pH value for the complete oxidation of TEP were investigated in different concentrations of TEP. The kinetic reaction was calculated for TEP as a function of initial concentration of TEP. Results of adsorptions showed that TEP was adsorbed better in alkalinity pH, and the natural pH had the highest reaction rate for complete degradation. Also, the zero-kinetic order with the lag time as a function of initial concentration of TEP and TiO2was suggested for oxidation of TEP. The optimized concentration of nano-TiO2was 400 mg/lit which had the best conversion and the lowest lag time in the reaction.

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Wu, Guohua, Witold Pedrycz, Haifeng Li, Dishan Qiu, Manhao Ma, and Jin Liu. "Complexity Reduction in the Use of Evolutionary Algorithms to Function Optimization: A Variable Reduction Strategy." Scientific World Journal 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/172193.

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Discovering and utilizing problem domain knowledge is a promising direction towards improving the efficiency of evolutionary algorithms (EAs) when solving optimization problems. We propose a knowledge-based variable reduction strategy (VRS) that can be integrated into EAs to solve unconstrained and first-order derivative optimization functions more efficiently. VRS originates from the knowledge that, in an unconstrained and first-order derivative optimization function, the optimal solution locates in a local extreme point at which the partial derivative over each variable equals zero. Through this collective of partial derivative equations, some quantitative relations among different variables can be obtained. These variable relations have to be satisfied in the optimal solution. With the use of such relations, VRS could reduce the number of variables and shrink the solution space when using EAs to deal with the optimization function, thus improving the optimizing speed and quality. When we apply VRS to optimization problems, we just need to modify the calculation approach of the objective function. Therefore, practically, it can be integrated with any EA. In this study, VRS is combined with particle swarm optimization variants and tested on several benchmark optimization functions and a real-world optimization problem. Computational results and comparative study demonstrate the effectiveness of VRS.

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Sundar, S., and Z. Shiller. "Constrained Optimization of Multi-Degree-of-Freedom Mechanisms for Near-Time-Optimal Motions." Journal of Mechanical Design 116, no. 2 (June 1, 1994): 412–18. http://dx.doi.org/10.1115/1.2919394.

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This paper presents a method to design multi-degree-of-freedom mechanisms for near-time optimal motions. The design objective is to select system parameters, such as link lengths and actuator sizes, that will minimize the optimal motion time of the mechanism along a given path. The exact time-optimization problem is approximated by a simpler procedure that maximizes the acceleration near the end points. Representing the directions of maximum acceleration with the acceleration lines, and the reachability constraints as explicit functions of the design parameters, we transform the constrained optimization to a simpler curve-fitting procedure. This problem is formulated analytically, permitting the use of efficient gradient-based optimizations instead of the zero order optimization that is otherwise required. It is shown that with the appropriate choice of variables, the reachability constraints for planar mechanisms are linear in the design parameters. Consequently, the reachability of the entire path can be guaranteed by satisfying the reachability of only two extreme points along the path. This greatly simplifies the optimization problem since it reduces the dimensionality of the constraints and it permits the use of efficient projection methods. Examples for optimizing the dimensions of a five-bar planar mechanism demonstrate close correlation between the approximate and the exact solutions and better computational efficiency of the constrained optimization over previous penalty-based methods.

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Mahata, Shibendu, Rajib Kar, and Durbadal Mandal. "Optimal Modelling of (1 + α) Order Butterworth Filter under the CFE Framework." Fractal and Fractional 4, no. 4 (December 3, 2020): 55. http://dx.doi.org/10.3390/fractalfract4040055.

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This paper presents the optimal rational approximation of (1+α) order Butterworth filter, where α ∊ (0,1) under the continued fraction expansion framework, by employing a new cost function. Two simple techniques based on the constrained optimization and the optimal pole-zero placements are proposed to model the magnitude-frequency response of the fractional-order lowpass Butterworth filter (FOLBF). The third-order FOLBF approximants achieve good agreement to the ideal characteristic for six decades of design bandwidth. Circuit realization using the current feedback operational amplifier is presented, and the modelling efficacy is validated in the OrCAD PSPICE platform.

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Cui, Yan, Camille Laurent, and Zhiqiang Wang. "On the observability inequality of coupled wave equations: the case without boundary." ESAIM: Control, Optimisation and Calculus of Variations 26 (2020): 14. http://dx.doi.org/10.1051/cocv/2020004.

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In this paper, we study the observability and controllability of wave equations coupled by first or zero order terms on a compact manifold. We adopt the approach in Dehman-Lebeau’s paper [B. Dehman and G. Lebeau, SIAM J. Control Optim. 48 (2009) 521–550.] to prove that: the weak observability inequality holds for wave equations coupled by first order terms on compact manifold without boundary if and only if a class of ordinary differential equations related to the symbol of the first order terms along the Hamiltonian flow are exactly controllable. We also compute the higher order part of the observability constant and the observation time. By duality, we obtain the controllability of the dual control system in a finite co-dimensional space. This gives the full controllability under the assumption of unique continuation of eigenfunctions. Moreover, these results can be applied to the systems of wave equations coupled by zero order terms of cascade structure after an appropriate change of unknowns and spaces. Finally, we provide some concrete examples as applications where the unique continuation property indeed holds.

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Reichert, Gabriel, and Christoph Schmidl. "SWOT Analysis of Non-Technical and Technical Measures towards “(Nearly) Zero-Emission Stove Technologies”." Energies 16, no. 3 (January 30, 2023): 1388. http://dx.doi.org/10.3390/en16031388.

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Firewood stoves are widespread and popular for renewable heat supply in Europe. Several new technological measures have been developed recently that aim at improving the appliance performance in terms of emissions and efficiency. In order to support the trend towards “(nearly) zero-emissions technologies”, the objective of this study was to provide a profound overview of the most relevant technical primary and secondary measures for emission reduction and to analyze their functionality, the relevant framework conditions for their application and their costs. Since user behavior is essential for emission and efficiency performance, the state of knowledge about user behavior is summarized and the latest measures for its optimization are evaluated as non-technical primary measures. Primary and secondary measures were analyzed separately, but also potentially promising combinations of primary and secondary optimization were evaluated using SWOT analysis. The results showed that complementary application of primary and secondary measures will be necessary in order to achieve “(nearly) zero-emission technologies”. The paper is useful for manufacturers and provides them with guidance and recommendations for future developments. They can specifically select appropriate measures for their products and applications not only based on technical aspects, but also with a strong focus on user behavior and user comfort.

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Zhang, Xin, Jian Wu Zhang, Qing Liang Zeng, and Cheng Long Wang. "Lightweight Design for Hydraulic Support." Key Engineering Materials 450 (November 2010): 79–82. http://dx.doi.org/10.4028/www.scientific.net/kem.450.79.

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In large inclined angle mining condition, in order to decrease the effect of sliding force, a lightweight design for hydraulic support is presented in this paper. Taking minimum mass of top beam as optimization objective, the three-dimensional model of it is built firstly. The whole top beam is simplified into top plate, side plate, bottom plate and main reinforcement on the premise of unchanging its topology configuration, and only strength constraint is chosen as constraint, which reduces the number of constraint functions and calculation cycles. By means of ANSYS zero-order optimization module, the mass of top beam is decreased about 16.9%. Finally, the optimal lightweight structure is fully evaluated under the same load as pre-optimization, and finite element analysis results prove that its stress and strain satisfy the need of strength. This lightweight design measure is used in the practical manufacturing with a lower cost of materials, which also increases the stability of hydraulic support in large inclined angle mining condition.

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Rahmah, Anisa Ur, Sabtanti Harimurti, Abdul Aziz Omar, and Thanabalan Murugesan. "Degradation Kinetic of Oxytetracycline Antibiotic inside UV Reactor in the Presence of H₂O₂." Applied Mechanics and Materials 625 (September 2014): 901–6. http://dx.doi.org/10.4028/www.scientific.net/amm.625.901.

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–Oxytetracycline (OTC), a widely used of veterinary antibiotic, was degraded inside a UV/H2O2system. Kinetic study was conducted at 30°C of temperature and pH 6.37, as suggested by the previous optimization experiment. About 250, 375 and 500 ppm initial OTC concentration were used for the kinetic studies, at H2O2concentration of 0.116 M. The experimental data were plotted against the pseudo zero-th, first and second order of kinetic. Based on regression coefficient value, the data was well fitted with the pseudo first order of kinetic. The calculated value ofkobswas 0.181 min-1.

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Xu, Lexiao. "Challenges and optimization of PEMFC system in vehicles." Journal of Physics: Conference Series 2608, no. 1 (October 1, 2023): 012045. http://dx.doi.org/10.1088/1742-6596/2608/1/012045.

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Abstract Switching from fossil fuel energy to clean and renewable energy to minimize car emissions is becoming more and more vital and crucial in the current condition of severe environmental pollution and serious fossil fuel shortage. However, there are still several issues with current fuel cell systems that prevent their widespread use. Due to Proton Exchange Membrane Fuel Cells’ (PEMFCs) poor performance and the expensive operating costs of their catalysts, fuel cells are presently not widely accessible on the market. Fuel cells are seen as a potential method to reach the goal of zero emissions since they offer excellent benefits in terms of zero emissions and high efficiency. They do this by converting chemical energy into electrical energy using hydrogen. In this study, the three main parameters that affect the performance of PMFCs and the way in which the fuel cell converts chemical energy into electrical energy are investigated. Carbon corrosion damages PEMFCs performance because of high cathode potential during startup and shutdown. The breakdown of platinum particles employed as catalysts reduces the lifetime of PEMFCs and raises costs. The improvement of fuel cell systems is reviewed, along with methods for gas purification and catalysts produced from various cutting-edge materials including graphitized carbon. In order to address any potential environmental issues with fuel cells and seek to lower greenhouse gas emissions, this paper intends to explore better alternatives and give better remedies for PEMFC performance improvement and cost reduction.

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Panteleev, Andrei V., and Aleksandr V. Lobanov. "Application of Mini-Batch Metaheuristic Algorithms in Problems of Optimization of Deterministic Systems with Incomplete Information about the State Vector." Algorithms 14, no. 11 (November 14, 2021): 332. http://dx.doi.org/10.3390/a14110332.

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In this paper, we consider the application of the zero-order mini-batch optimization method in the problem of finding optimal control of a pencil of trajectories of nonlinear deterministic systems in the case of incomplete information about the state vector. The pencil of trajectories originates from a given set of initial states. To solve the problem, the structure of a feedback system is proposed, which contains models of the plant, measuring system, nonlinear state observer and control law of the fixed structure with unknown coefficients. The objective function proposed considers the quality of pencil of trajectories control, which is estimated by the average value of the Bolz functional over the given set of initial states. Unknown control laws of a plant and an observer are found in the form of expansions in terms of orthonormal systems of basis functions, which are specified on the set of possible states of a dynamical system. The original pencil of trajectories control problem is reduced to a global optimization problem, which is solved using the well-proven zero-order method, which uses a modified mini-batch approach in a random search procedure with adaptation. An algorithm for solving the problem is proposed. The satellite stabilization problem with incomplete information is solved.

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Boucherouite, Soumia, Grigory Malinovsky, Peter Richtárik, and El Houcine Bergou. "Minibatch Stochastic Three Points Method for Unconstrained Smooth Minimization." Proceedings of the AAAI Conference on Artificial Intelligence 38, no. 18 (March 24, 2024): 20344–52. http://dx.doi.org/10.1609/aaai.v38i18.30016.

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We present a new zero-order optimization method called Minibatch Stochastic Three Points (MiSTP), specifically designed to solve stochastic unconstrained minimization problems when only an approximate evaluation of the objective function is possible. MiSTP is an extension of the Stochastic Three Point Method (STP). The key innovation of MiSTP is that it selects the next point solely based on the objective function approximation, without relying on its exact evaluation. At each iteration, MiSTP generates a random search direction and compares the approximations of the objective function at the current point, the randomly generated direction and its opposite. The best of these three points is chosen as the next iterate. We analyze the worst-case complexity of MiSTP in the convex and non-convex cases and demonstrate that it matches the most accurate complexity bounds known in the literature for zero-order optimization methods. We perform extensive numerical evaluations to assess the computational efficiency of MiSTP and compare its performance to other state-of-the-art methods by testing it on several machine learning tasks. The results show that MiSTP outperforms or has comparable performance against state-of-the-art methods indicating its potential for a wide range of practical applications.

Journal articles on the topic 'Zero-Order optimization'

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