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1

Lovíšek, Ján. "Optimal design of cylindrical shell with a rigid obstacle". Applications of Mathematics 34, nr 1 (1989): 18–32. http://dx.doi.org/10.21136/am.1989.104331.

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2

Bock, Igor. "Optimal design problems for a dynamic viscoelastic plate. I. Short memory material". Applications of Mathematics 40, nr 4 (1995): 285–304. http://dx.doi.org/10.21136/am.1995.134295.

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3

Dharmappa, H. B., J. Verink, O. Fujiwara i S. Vigneswaran. "Optimal design of a flocculator". Water Research 27, nr 3 (marzec 1993): 513–19. http://dx.doi.org/10.1016/0043-1354(93)90052-j.

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4

Rajan, S. D., Ben Nagaraj i Mali Mahalingam. "A Shape Optimal Design Methodology for Packaging Design". Journal of Electronic Packaging 114, nr 4 (1.12.1992): 461–66. http://dx.doi.org/10.1115/1.2905481.

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Shape optimal design methodology has been used as a design tool in the automotive and aerospace industries for quite some time now. In the present work the hybrid natural shape optimal design approach is used along with a nonlinear programming (NLP) technique to find the optimal shapes of electronic packaging components. The design problems are formulated as min-max problems and linear and materially nonlinear finite element analyses provide the function values. The applicability of the developed methodology is illustrated using a design example that deals with the packaging design of a plastic pad array carrier digital package. The results indicate that the methodology can be used either as an effective way of evaluating different design alternatives or refining existing designs.
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5

Ali H, Nwaosu S. C, Lasisi K. E i Abdulkadir A. "Bayesian three-stage a-optimal design for generalized linear models". World Journal of Advanced Research and Reviews 19, nr 1 (30.07.2023): 1150–65. http://dx.doi.org/10.30574/wjarr.2023.19.1.1380.

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Bayesian sequential designs are increasingly receiving attention in recent years, especially in clinical trials and biomedical research. Bayesian sequential design process can utilize the available prior information of the unknown parameters so that a better design can be achieved. In this paper, a hybrid computational method, which consists of the combination of a rough global optima search and a more precise local optima search, is proposed to efficiently search for the Bayesian A-optimal designs for multi-variable generalized linear models. Specifically, Poisson regression models and logistic regression models are investigated. Designs are examined for a range of prior distributions and the equivalence theorem is used to verify the design optimality. Design efficiency for various models were examined. Furthermore, the idea of the Bayesian sequential design is introduced and the Bayesian three-stage A-optimal design approach is introduced for generalized linear models. With the incorporation of the first stage data information into the second stage, the second stage data information into the third stage, the three-stage design procedure improved the design efficiency and produce more accurate and robust designs. The Bayesian three-stage A-optimal designs for Poisson and logistic regression models are evaluated based on simulation studies. The Bayesian three-stage A-optimal design is superior to the two-stage A-optimal design approach in terms of design optimality and efficiency criteria.
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6

杨, 森. "Research on Multidimensional Online Calibration Design Based on D-Optimal and A-Optimal Designs". Advances in Applied Mathematics 12, nr 01 (2023): 81–95. http://dx.doi.org/10.12677/aam.2023.121011.

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7

Andrés, Fuensanta, i Julio Muñoz. "Nonlocal optimal design: A new perspective about the approximation of solutions in optimal design". Journal of Mathematical Analysis and Applications 429, nr 1 (wrzesień 2015): 288–310. http://dx.doi.org/10.1016/j.jmaa.2015.04.026.

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8

Brenner, M. P., J. H. Lang, J. Li, J. Qiu i A. H. Slocum. "Optimal design of a bistable switch". Proceedings of the National Academy of Sciences 100, nr 17 (8.08.2003): 9663–67. http://dx.doi.org/10.1073/pnas.1531507100.

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9

Swamee, Prabhata K., i Bishambhar N. Asthana. "Optimal design of a power tunnel". ISH Journal of Hydraulic Engineering 19, nr 1 (marzec 2013): 21–26. http://dx.doi.org/10.1080/09715010.2012.742288.

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10

Kueny, J. L., T. Lalande, J. J. Herou i L. Terme. "Optimal design of a tidal turbine". IOP Conference Series: Earth and Environmental Science 15, nr 4 (26.11.2012): 042038. http://dx.doi.org/10.1088/1755-1315/15/4/042038.

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11

Lu, T. J., J. W. Hutchinson i A. G. Evans. "Optimal design of a flexural actuator". Journal of the Mechanics and Physics of Solids 49, nr 9 (wrzesień 2001): 2071–93. http://dx.doi.org/10.1016/s0022-5096(01)00024-2.

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12

Fang, Kai-Tai, Dennis K. J. Lin i Hong Qin. "A note on optimal foldover design". Statistics & Probability Letters 62, nr 3 (kwiecień 2003): 245–50. http://dx.doi.org/10.1016/s0167-7152(03)00008-7.

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13

Graesser, D. L., Z. B. Zabinsky, M. E. Tuttle i G. I. Kim. "Optimal design of a composite structure". Composite Structures 24, nr 4 (styczeń 1993): 273–81. http://dx.doi.org/10.1016/0263-8223(93)90021-h.

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14

Li, Yongwu, i Zuo Quan Xu. "Optimal insurance design with a bonus". Insurance: Mathematics and Economics 77 (listopad 2017): 111–18. http://dx.doi.org/10.1016/j.insmatheco.2017.09.003.

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15

Lin, Ming Hua, i Jung Fa Tsai. "Optimal Design of a Speed Reducer". Applied Mechanics and Materials 376 (sierpień 2013): 327–30. http://dx.doi.org/10.4028/www.scientific.net/amm.376.327.

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The mathematical model for optimal design of a speed reducer is a generalized geometric programming problem that is non-convex and not easy be globally solved. This paper applies a deterministic approach including convexification strategies and piecewise linearization techniques to globally solve speed reducer design problems. A practical speed reducer design problem is solved to demonstrate that this study obtains a better solution than other methods.
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16

Brusco, Sandro, i Matthew O. Jackson. "The Optimal Design of a Market". Journal of Economic Theory 88, nr 1 (wrzesień 1999): 1–39. http://dx.doi.org/10.1006/jeth.1999.2536.

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17

Vuchkov, I. N., D. L. Damgaliev i A. N. Donev. "Generation of d–optimal designs in a finite design space". Communications in Statistics - Simulation and Computation 18, nr 1 (styczeń 1989): 319–37. http://dx.doi.org/10.1080/03610918908812762.

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18

Pronzato, Luc. "One-step ahead adaptive D-optimal design on a finite design space is asymptotically optimal". Metrika 71, nr 2 (6.01.2009): 219–38. http://dx.doi.org/10.1007/s00184-008-0227-y.

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19

Karimov, A. I. "OPTIMAL DESIGN OF THE OXIDATIVE DEHYDROGENATION OF METHYLCYCLOHEXANE INTO METHYLCYCLOHEXADIENE ON A MODIFIED ZEOLITE CATALYST". Chemical Problems 20, nr 1 (2022): 48–58. http://dx.doi.org/10.32737/2221-8688-2022-1-48-58.

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Selection and theoretical optimization of the reactor type was carried out on the basis of a kinetic model of the process of selective oxidative dehydrogenation of methylcyclohexane into methylcyclohexadiene on a modified active metal-zeolite catalyst. It was determined that it was more expedient to carry out the process in an ideal tubular ( packed-bed ) type reactor. As a result of theoretical optimization of the process, optimal technological regimes were determined and the optimal design dimensions of the reactor element for a given capacity calculated. A complete mathematical model of the process was developed with regard to the effect of heat and pressure drop.
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20

Maranas, Costas D. "Optimal Computer-Aided Molecular Design: A Polymer Design Case Study". Industrial & Engineering Chemistry Research 35, nr 10 (styczeń 1996): 3403–14. http://dx.doi.org/10.1021/ie960096z.

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21

Brandmaier, Stefan, Ullrika Sahlin, Igor V. Tetko i Tomas Öberg. "PLS-Optimal: A Stepwise D-Optimal Design Based on Latent Variables". Journal of Chemical Information and Modeling 52, nr 4 (11.04.2012): 975–83. http://dx.doi.org/10.1021/ci3000198.

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22

TAKEGAKI, Morikazu, i Keizo MATSUI. "A Design Method of Optimal Feedforward Compensator". Transactions of the Society of Instrument and Control Engineers 21, nr 4 (1985): 367–73. http://dx.doi.org/10.9746/sicetr1965.21.367.

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23

Sadek, NEKROUF. "Optimal controller design for a birotor helicopter". PRZEGLĄD ELEKTROTECHNICZNY 1, nr 11 (2.11.2021): 95–98. http://dx.doi.org/10.15199/48.2021.11.16.

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24

van Ooteghem, Rachel J. C. "Optimal Control Design for a Solar Greenhouse". IFAC Proceedings Volumes 43, nr 26 (2010): 304–9. http://dx.doi.org/10.3182/20101206-3-jp-3009.00054.

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25

Wu, Kun-Shan, i Hsiu-Feng Yen. "Optimal design of a heuristic inventory model". Journal of Statistics and Management Systems 7, nr 2 (styczeń 2004): 295–307. http://dx.doi.org/10.1080/09720510.2004.10701122.

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26

Shortle, John F., Dennis C. Dietz, Paul A. Katz, Craig B. Williamson, James R. Koehler i Amie J. Elcan. "Optimal Design of a Data-Offload Network". Interfaces 31, nr 5 (październik 2001): 4–12. http://dx.doi.org/10.1287/inte.31.5.4.9652.

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27

YASUDA, Kimihiko. "224 Optimal Design of a Joint Damper". Proceedings of the Dynamics & Design Conference 2009 (2009): _224–1_—_224–4_. http://dx.doi.org/10.1299/jsmedmc.2009._224-1_.

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28

Ledeneva, T. M., i M. A. Sergienko. "Optimal design of a fuzzy rule base". Automation and Remote Control 73, nr 11 (listopad 2012): 1944–49. http://dx.doi.org/10.1134/s0005117912110173.

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29

Kovács, György, i József Farkas. "Optimal design of a composite sandwich structure". Science and Engineering of Composite Materials 23, nr 2 (1.03.2016): 237–43. http://dx.doi.org/10.1515/secm-2014-0186.

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AbstractThis study shows the optimization method for a new complex structural model: laminated carbon fiber-reinforced plastic (CFRP) deck plates with polystyrene foam (EPS) inner core. The structure is designed for both minimal cost and minimal weight, taking into consideration the design constraints as follows: maximum deflection of the total structure, stress in the composite plates, stress in the polystyrene foam, eigenfrequency of the structure, thermal insulation of the structure, and size constraints for the design variables.
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30

Sun, Zhi-Guo, i Hong-Fei Teng. "Optimal layout design of a satellite module". Engineering Optimization 35, nr 5 (październik 2003): 513–29. http://dx.doi.org/10.1080/03052150310001602335.

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31

KAO, CHIANG, i ALBERT J. M. SHIH. "A RADIAL METHOD FOR OPTIMAL MECHANISM DESIGN". Engineering Optimization 20, nr 3 (grudzień 1992): 179–86. http://dx.doi.org/10.1080/03052159208941279.

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32

Lee, Kingsun, i Jui-Chang Lin. "Optimal Design of a Vibration Compensation System". Advanced Science Letters 4, nr 8 (1.08.2011): 2880–84. http://dx.doi.org/10.1166/asl.2011.1458.

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33

Di Martino, Matías, Guzmán Hernández, Marcelo Fiori i Alicia Fernández. "A new framework for optimal classifier design". Pattern Recognition 46, nr 8 (sierpień 2013): 2249–55. http://dx.doi.org/10.1016/j.patcog.2013.01.006.

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34

Wang, Bin, Jinkuan Wang, Xin Song i Yinghua Han. "A New Model for Optimal Waveform Design". Procedia Engineering 29 (2012): 1707–12. http://dx.doi.org/10.1016/j.proeng.2012.01.199.

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35

Chi, Yichun, i Ming Zhou. "Optimal Reinsurance Design: A Mean-Variance Approach". North American Actuarial Journal 21, nr 1 (2.08.2016): 1–14. http://dx.doi.org/10.1080/10920277.2016.1192478.

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36

Uys, P. E., K. Jarmai i J. Farkas. "Optimal design of a hoist structure frame". Applied Mathematical Modelling 27, nr 12 (grudzień 2003): 963–82. http://dx.doi.org/10.1016/s0307-904x(03)00128-8.

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37

Butt, R. "Optimal shape design for a nozzle problem". Journal of the Australian Mathematical Society. Series B. Applied Mathematics 35, nr 1 (lipiec 1993): 71–86. http://dx.doi.org/10.1017/s033427000000727x.

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AbstractIn this paper, a gradient method is developed for the optimal shape design in a nozzle problem described by variational inequalities. It is known that this method can be used for the optimal shape design for systems described by partial differential equations (Pironneau [6]); it is used here for differential inequalities by taking limits of the expression resulting from an approximations scheme. The computations are done by the finite element method; the gradient of the criteria as a function of the coordinates nodes is computed, and the performance criterion is then minimised by the gradient method.
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38

Cohn, J. H. E. "A D-optimal design of order 102". Discrete Mathematics 102, nr 1 (maj 1992): 61–65. http://dx.doi.org/10.1016/0012-365x(92)90347-i.

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39

Braibant, V., i C. Fleury. "Shape optimal design?A CAD-oriented formulation". Engineering with Computers 1, nr 4 (grudzień 1986): 193–204. http://dx.doi.org/10.1007/bf01200136.

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40

Morton, S. K., i J. P. H. Webber. "Optimal design of a composite I-beam". Composite Structures 28, nr 2 (styczeń 1994): 149–68. http://dx.doi.org/10.1016/0263-8223(94)90045-0.

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41

Reich, Yoram, i Maurice B. Fuchs. "A comparison of explicit optimal design methods". Computers & Structures 32, nr 1 (styczeń 1989): 175–84. http://dx.doi.org/10.1016/0045-7949(89)90083-7.

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42

Sunghwan Jung i Jong Up Jeon. "Optimal shape design of a rotary microactuator". Journal of Microelectromechanical Systems 10, nr 3 (2001): 460–68. http://dx.doi.org/10.1109/84.946807.

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43

Holzmann, W. H., i H. Kharaghani. "A D-optimal design of order 150". Discrete Mathematics 190, nr 1-3 (sierpień 1998): 265–69. http://dx.doi.org/10.1016/s0012-365x(98)00151-4.

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44

Fang-Ming Shao i Lian-Chang Zhao. "Optimal design improving a communication network reliability". Microelectronics Reliability 37, nr 4 (kwiecień 1997): 591–95. http://dx.doi.org/10.1016/s0026-2714(96)00087-x.

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45

Khouzani, MHR, i Pasquale Malacaria. "Optimal Channel Design: A Game Theoretical Analysis". Entropy 20, nr 9 (5.09.2018): 675. http://dx.doi.org/10.3390/e20090675.

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This paper studies the problem of optimal channel design. For a given input probability distribution and for hard and soft design constraints, the aim here is to design a (probabilistic) channel whose output leaks minimally from its input. To analyse this problem, general notions of entropy and information leakage are introduced. It can be shown that, for all notions of leakage here defined, the optimal channel design problem can be solved using convex programming with zero duality gap. Subsequently, the optimal channel design problem is studied in a game-theoretical framework: games allow for analysis of optimal strategies of both the defender and the adversary. It is shown that all channel design problems can be studied in this game-theoretical framework, and that the defender’s Bayes–Nash equilibrium strategies are equivalent to the solutions of the convex programming problem. Moreover, the adversary’s equilibrium strategies correspond to a robust inference problem.
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46

Stocco, L. J., S. E. Salcudean i F. Sassani. "Optimal kinematic design of a haptic pen". IEEE/ASME Transactions on Mechatronics 6, nr 3 (2001): 210–20. http://dx.doi.org/10.1109/3516.951359.

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47

Grediac, M., A. Alzina i D. Marquis. "Optimal Design of a Multiperforated Composite Plate". Journal of Composite Materials 38, nr 16 (sierpień 2004): 1401–23. http://dx.doi.org/10.1177/0021998304042739.

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48

Parkinson, A., C. Sorensen i N. Pourhassan. "A General Approach for Robust Optimal Design". Journal of Mechanical Design 115, nr 1 (1.03.1993): 74–80. http://dx.doi.org/10.1115/1.2919328.

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This paper describes a general, rigorous approach for robust optimal design. The method allows a designer to explicitly consider and control, as an integrated part of the optimization process, the effects of variability in design variables and parameters on a design. Variability is defined in terms of tolerances which bracket the variation of fluctuating quantities. A designer can apply tolerances to any model input and can analyze how the tolerances affect the design using either a worst case or statistical analysis. As part of design optimization, the designer can apply the method to find an optimum that will remain feasible when subject to variation, and/or the designer can minimize or constrain the effects of tolerances as one of the objectives or constraints of the design problem.
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49

Hund, S., J. F. Antaki i O. Ghattas. "OPTIMAL FLOW PATH DESIGN OF A CANNULA". ASAIO Journal 50, nr 2 (marzec 2004): 143. http://dx.doi.org/10.1097/00002480-200403000-00131.

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50

Tommasi, C. "Optimal Design Robust to a Misspecified Model". Communications in Statistics - Simulation and Computation 41, nr 7 (sierpień 2012): 1220–31. http://dx.doi.org/10.1080/03610918.2012.625855.

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