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Journal articles on the topic 'Stationary problems'

Author: Grafiati

Published: 4 June 2021

Last updated: 10 March 2023

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1

Bergemann, Dirk, and Juuso Välimäki. "Stationary multi-choice bandit problems." Journal of Economic Dynamics and Control 25, no. 10 (October 2001): 1585–94. http://dx.doi.org/10.1016/s0165-1889(99)00064-0.

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2

Sakhnovich, Lev. "The Generalized Stationary Scattering Problems." Complex Analysis and Operator Theory 12, no. 3 (June 19, 2017): 607–13. http://dx.doi.org/10.1007/s11785-017-0700-6.

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3

Garc�a-Meli�n, J., and J. Sabina de Lis. "Stationary patterns to diffusion problems." Mathematical Methods in the Applied Sciences 23, no. 16 (2000): 1467–89. http://dx.doi.org/10.1002/1099-1476(20001110)23:16<1467::aid-mma174>3.0.co;2-g.

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4

Wu, Wenying, and Dingtao Peng. "Optimality Conditions for Group Sparse Constrained Optimization Problems." Mathematics 9, no. 1 (January 1, 2021): 84. http://dx.doi.org/10.3390/math9010084.

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In this paper, optimality conditions for the group sparse constrained optimization (GSCO) problems are studied. Firstly, the equivalent characterizations of Bouligand tangent cone, Clarke tangent cone and their corresponding normal cones of the group sparse set are derived. Secondly, by using tangent cones and normal cones, four types of stationary points for GSCO problems are given: TB-stationary point, NB-stationary point, TC-stationary point and NC-stationary point, which are used to characterize first-order optimality conditions for GSCO problems. Furthermore, both the relationship among the four types of stationary points and the relationship between stationary points and local minimizers are discussed. Finally, second-order necessary and sufficient optimality conditions for GSCO problems are provided.

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5

Čiegis, R., A. Štikonas, O. Štikoniene, and O. Suboč. "STATIONARY PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS." Mathematical Modelling and Analysis 6, no. 2 (December 15, 2001): 178–91. http://dx.doi.org/10.3846/13926292.2001.9637157.

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In this article a stationary problems with general nonlocal boundary conditions is considered. The differential problems and finite difference schemes for solving this problem are investigated. Stability estimates are proved in the maximum norm and the non‐negativity of the solution is investigated. All theoretical results are illustrated by representative examples.

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6

Namba, Hiroyuki. "Non-stationary Stochastic Multi-armed Bandit Problems with External Information on Stationarity." Transactions of the Japanese Society for Artificial Intelligence 36, no. 3 (May 1, 2021): D—K84_1–11. http://dx.doi.org/10.1527/tjsai.36-3_d-k84.

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7

beim Graben, Peter, and Axel Hutt. "Detecting event-related recurrences by symbolic analysis: applications to human language processing." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 373, no. 2034 (February 13, 2015): 20140089. http://dx.doi.org/10.1098/rsta.2014.0089.

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Quasi-stationarity is ubiquitous in complex dynamical systems. In brain dynamics, there is ample evidence that event-related potentials (ERPs) reflect such quasi-stationary states. In order to detect them from time series, several segmentation techniques have been proposed. In this study, we elaborate a recent approach for detecting quasi-stationary states as recurrence domains by means of recurrence analysis and subsequent symbolization methods. We address two pertinent problems of contemporary recurrence analysis: optimizing the size of recurrence neighbourhoods and identifying symbols from different realizations for sequence alignment. As possible solutions for these problems, we suggest a maximum entropy criterion and a Hausdorff clustering algorithm. The resulting recurrence domains for single-subject ERPs are obtained as partition cells reflecting quasi-stationary brain states.

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8

Timokhin, I. V., S. A. Matveev, N. Siddharth, E. E. Tyrtyshnikov, A. P. Smirnov, and N. V. Brilliantov. "Newton method for stationary and quasi-stationary problems for Smoluchowski-type equations." Journal of Computational Physics 382 (April 2019): 124–37. http://dx.doi.org/10.1016/j.jcp.2019.01.013.

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9

Dautov, R. Z., and E. M. Fedotov. "HDG schemes for stationary convection-diffusion problems." IOP Conference Series: Materials Science and Engineering 158 (November 2016): 012028. http://dx.doi.org/10.1088/1757-899x/158/1/012028.

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10

Chebotarev, A. Yu. "Inverse problems for stationary Navier-Stokes systems." Computational Mathematics and Mathematical Physics 54, no. 3 (March 2014): 537–45. http://dx.doi.org/10.1134/s0965542514030038.

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11

Chipot, Michel. "On some stationary Navier–Stokes type problems." Nonlinear Analysis 177 (December 2018): 288–98. http://dx.doi.org/10.1016/j.na.2018.05.014.

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12

Eppler, Karsten, and Helmut Harbrecht. "Efficient treatment of stationary free boundary problems." Applied Numerical Mathematics 56, no. 10-11 (October 2006): 1326–39. http://dx.doi.org/10.1016/j.apnum.2006.03.017.

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13

Dai, Yang, and Dolf Talman. "Linear Stationary Point Problems on Unbounded Polyhedra." Mathematics of Operations Research 18, no. 3 (August 1993): 635–44. http://dx.doi.org/10.1287/moor.18.3.635.

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14

Vänskä, Simopekka. "Stationary waves method for inverse scattering problems." Inverse Problems & Imaging 2, no. 4 (2008): 577–86. http://dx.doi.org/10.3934/ipi.2008.2.577.

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15

Breit, Dominic. "TheA-Stokes approximation for non-stationary problems." Quarterly Journal of Mathematics 67, no. 2 (April 30, 2016): 201–31. http://dx.doi.org/10.1093/qmath/haw008.

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16

Felcman, JirÌÃ, and Petr Kubera. "A mesh adaptation for non-stationary problems." PAMM 7, no. 1 (December 2007): 2100007–8. http://dx.doi.org/10.1002/pamm.200700049.

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17

Arrieta-Pastrana, Alfonso, Manuel Saba, and Adriana Puello Alcázar. "Analysis of Climate Variability in a Time Series of Precipitation and Temperature Data: A Case Study in Cartagena de Indias, Colombia." Water 14, no. 9 (April 24, 2022): 1378. http://dx.doi.org/10.3390/w14091378.

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Anthropogenic climate change is a global trend, hitherto incontrovertible, causing immense social and economic damage. Although the this is evident at the global level, at the local level, there is still debate about the most appropriate analyses to support this fact. This debate is particularly relevant in developing countries, such as Colombia, where there is a significant lack of data at the local level that require analysis and interpretation. Consequently, studies are often superficially conducted to support climate change theory at the local level. However, such studies are then used to design hydraulic infrastructure, with potential catastrophic errors for human and environmental health. In this study, we sought evidence of climate change through an analysis of a series of data on temperature (maximum, mean and minimum), as well as total annual and maximum rainfall in 24 h registered at the Rafael Nuñez Airport station in the city of Cartagena, Colombia, from 1941 to 2015. The hypotheses of homogeneity, trend, stationarity and non-stationarity were analyzed. Problems of non-homogeneity and the presence of periodicity in the analyzed series were found, showing a trend and apparent non-stationarity in the original series. This could be associated with the effects of climate change. In this case, no correlation was found between temperatures and rainfall. Spectral analysis was performed for all series, and residual series were generated by extracting the harmonics of greatest significance. It was found that the series data generated from the third harmonic are generally stationary and without trend. Therefore, the trend and non-stationarity of the original series are due to problems of non-homogeneity and periodicity in the series. In the results of the stationarity test conducted according to the Phillips–Perron criterion, all series were non-stationary. For the two additional criteria of stationarity tests, 40% were shown to be stationary, and 60% were non-stationary. Specifically, non-homogeneity problems and apparent trends associated with climate change could have negative implications for the design of drainage systems.

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18

Arrieta-Pastrana, Alfonso, Manuel Saba, and Adriana Puello Alcázar. "Analysis of Climate Variability in a Time Series of Precipitation and Temperature Data: A Case Study in Cartagena de Indias, Colombia." Water 14, no. 9 (April 24, 2022): 1378. http://dx.doi.org/10.3390/w14091378.

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Anthropogenic climate change is a global trend, hitherto incontrovertible, causing immense social and economic damage. Although the this is evident at the global level, at the local level, there is still debate about the most appropriate analyses to support this fact. This debate is particularly relevant in developing countries, such as Colombia, where there is a significant lack of data at the local level that require analysis and interpretation. Consequently, studies are often superficially conducted to support climate change theory at the local level. However, such studies are then used to design hydraulic infrastructure, with potential catastrophic errors for human and environmental health. In this study, we sought evidence of climate change through an analysis of a series of data on temperature (maximum, mean and minimum), as well as total annual and maximum rainfall in 24 h registered at the Rafael Nuñez Airport station in the city of Cartagena, Colombia, from 1941 to 2015. The hypotheses of homogeneity, trend, stationarity and non-stationarity were analyzed. Problems of non-homogeneity and the presence of periodicity in the analyzed series were found, showing a trend and apparent non-stationarity in the original series. This could be associated with the effects of climate change. In this case, no correlation was found between temperatures and rainfall. Spectral analysis was performed for all series, and residual series were generated by extracting the harmonics of greatest significance. It was found that the series data generated from the third harmonic are generally stationary and without trend. Therefore, the trend and non-stationarity of the original series are due to problems of non-homogeneity and periodicity in the series. In the results of the stationarity test conducted according to the Phillips–Perron criterion, all series were non-stationary. For the two additional criteria of stationarity tests, 40% were shown to be stationary, and 60% were non-stationary. Specifically, non-homogeneity problems and apparent trends associated with climate change could have negative implications for the design of drainage systems.

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19

Knopov, P. S., and E. J. Kasitskaya. "ON LARGE DEVIATIONS FOR THE SOLUTIONS OF STOCHASTIC PROGRAMMING PROBLEMS." Journal of Numerical and Applied Mathematics, no. 2 (136) (2021): 44–52. http://dx.doi.org/10.17721/2706-9699.2021.2.04.

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The work deals with stochastic programming problems for stationary random sequences, stationary processes, homogeneous random fields with discrete and continuous parameters. Trajectories of processes and fields are continuous. Stationary and no stationary observations of processes and fields are considered. The former criterion function is approximated by the empirical one. It is assumed that the first problem has a unique solution. Consistency of empirical estimates for no stationary observations is proved. Borel–Cantelly lemma is used for proving. Processes and fields are assumed to satisfy the strong mixing condition. Some restrictions on the moments of processes and fields must be fulfilled. Large deviations of the solutions are estimated. For proving the results theorems from functional analysis and large deviations theory are used. Additional conditions on behavior of minimizing function in the neighborhood of the minimum point are supposed. No stationary model is considered for the convex criterion function. The processes and fields need to satisfy the first hypothesis of hypermixing.

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20

Pareek, Vishakha, Santanu Chaudhury, and Sanjay Singh. "Handling non-stationarity in E-nose design: a review." Sensor Review 42, no. 1 (November 1, 2021): 39–61. http://dx.doi.org/10.1108/sr-02-2021-0038.

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Purpose The electronic nose is an array of chemical or gas sensors and associated with a pattern-recognition framework competent in identifying and classifying odorant or non-odorant and simple or complex gases. Despite more than 30 years of research, the robust e-nose device is still limited. Most of the challenges towards reliable e-nose devices are associated with the non-stationary environment and non-stationary sensor behaviour. Data distribution of sensor array response evolves with time, referred to as non-stationarity. The purpose of this paper is to provide a comprehensive introduction to challenges related to non-stationarity in e-nose design and to review the existing literature from an application, system and algorithm perspective to provide an integrated and practical view. Design/methodology/approach The authors discuss the non-stationary data in general and the challenges related to the non-stationarity environment in e-nose design or non-stationary sensor behaviour. The challenges are categorised and discussed with the perspective of learning with data obtained from the sensor systems. Later, the e-nose technology is reviewed with the system, application and algorithmic point of view to discuss the current status. Findings The discussed challenges in e-nose design will be beneficial for researchers, as well as practitioners as it presents a comprehensive view on multiple aspects of non-stationary learning, system, algorithms and applications for e-nose. The paper presents a review of the pattern-recognition techniques, public data sets that are commonly referred to as olfactory research. Generic techniques for learning in the non-stationary environment are also presented. The authors discuss the future direction of research and major open problems related to handling non-stationarity in e-nose design. Originality/value The authors first time review the existing literature related to learning with e-nose in a non-stationary environment and existing generic pattern-recognition algorithms for learning in the non-stationary environment to bridge the gap between these two. The authors also present details of publicly available sensor array data sets, which will benefit the upcoming researchers in this field. The authors further emphasise several open problems and future directions, which should be considered to provide efficient solutions that can handle non-stationarity to make e-nose the next everyday device.

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21

Zarnescu, Arghir. "Mathematical problems of nematic liquid crystals: between dynamical and stationary problems." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379, no. 2201 (May 24, 2021): 20200432. http://dx.doi.org/10.1098/rsta.2020.0432.

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Mathematical studies of nematic liquid crystals address in general two rather different perspectives: that of fluid mechanics and that of calculus of variations. The former focuses on dynamical problems while the latter focuses on stationary ones. The two are usually studied with different mathematical tools and address different questions. The aim of this brief review is to give the practitioners in each area an introduction to some of the results and problems in the other area. Also, aiming to bridge the gap between the two communities, we will present a couple of research topics that generate natural connections between the two areas. This article is part of the theme issue ‘Topics in mathematical design of complex materials’.

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22

Apollonskiy, Stanislav Mikhaylovich. "Problems of electromagnetic compatibility in electricity of rail system." Transportation systems and technology 1, no. 2 (December 15, 2015): 110–26. http://dx.doi.org/10.17816/transsyst201512110-126.

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Problems of electromagnetic compatibility on electrified railways are sharper than in the stationary energy sector. This is due to the following circumstances: 1. Electrified railways has considerable length in space and is usually located in different climatic and in geological zones. 2. In rail transport, as well as any other transport systems, a compact high-performance equipment used (high and low voltage), to a greater degree of exposure to external electromagnetic influences than in the stationary energy sector. 3. All processes (stationary and non-stationary) on an electrified rail, in one way or another, affect the operation of each of the elements of the system. 4. In the development of an extensive electrified railway is necessary to ensure the electromagnetic compatibility of each of the elements that are not always required in the stationary energy sector. 5. Problems of electromagnetic compatibility electrified railways significantly of more complicated, when are using magnetolevitatsionnyh technologies for elektrozhdvizhenie. Considered the problems of electromagnetic compatibility in electricity of rail system, are discussed ways of solving them.

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23

Rohaeti, Embay, I. Made Sumertajaya, Aji Hamim Wigena, and Kusman Sadik. "THE PROMINENCE OF VECTOR AUTOREGRESSIVE MODEL IN MULTIVARIATE TIME SERIES FORECASTING MODELS WITH STATIONARY PROBLEMS." BAREKENG: Jurnal Ilmu Matematika dan Terapan 16, no. 4 (December 15, 2022): 1313–24. http://dx.doi.org/10.30598/barekengvol16iss4pp1313-1324.

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One of the problems in modelling multivariate time series is stationary. Stationary test results do not always produce all stationary variables; mixed stationary and non-stationary variables are possible. When stationary problems are found in multivariate time series modelling, it is necessary to evaluate the model's performance in various stationary conditions to obtain the best forecasting model. This study aims to get a superior multivariate time series forecasting model based on the goodness of the model in various stationary conditions. In this study, the evaluation of the model's performance through simulation data modelling is then applied to the actual data with a stationary problem, namely Bogor City inflation data. The best model in simulation modelling is based on the stability of RMSE and MAD in 100 replications. The results are that the VAR model is the best in various stationary conditions. Meanwhile, the best model on actual data modelling is based on evaluation in 4 folds for model fitting power and model forecasting power. The Bogor City inflation data modelling with the mixed stationary problem resulted in the best model, namely the VAR(1) model. This means the VAR model is good enough to be used as a forecasting model in mixed stationary conditions. Thus, in this study, based on the goodness of the model in two modelling scenarios in various stationary conditions, overall, it was found that the VAR model was superior to the VARD and VECM models.

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24

Lai, Kin Keung, Mohd Hassan, Sanjeev Kumar Singh, Jitendra Kumar Maurya, and Shashi Kant Mishra. "Semidefinite Multiobjective Mathematical Programming Problems with Vanishing Constraints Using Convexificators." Fractal and Fractional 6, no. 1 (December 22, 2021): 3. http://dx.doi.org/10.3390/fractalfract6010003.

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In this paper, we establish Fritz John stationary conditions for nonsmooth, nonlinear, semidefinite, multiobjective programs with vanishing constraints in terms of convexificator and introduce generalized Cottle type and generalized Guignard type constraints qualification to achieve strong S—stationary conditions from Fritz John stationary conditions. Further, we establish strong S—stationary necessary and sufficient conditions, independently from Fritz John conditions. The optimality results for multiobjective semidefinite optimization problem in this paper is related to two recent articles by Treanta in 2021. Treanta in 2021 discussed duality theorems for special class of quasiinvex multiobjective optimization problems for interval-valued components. The study in our article can also be seen and extended for the interval-valued optimization motivated by Treanta (2021). Some examples are provided to validate our established results.

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25

Efendiev, Yalchin, Sai-Mang Pun, and Petr N. Vabishchevich. "Temporal splitting algorithms for non-stationary multiscale problems." Journal of Computational Physics 439 (August 2021): 110375. http://dx.doi.org/10.1016/j.jcp.2021.110375.

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26

Asanjarani, Azam, and Yoni Nazarathy. "Stationary Markovian arrival processes: Results and open problems." ANZIAM Journal 64 (June 28, 2022): 54–68. http://dx.doi.org/10.21914/anziamj.v64.15161.

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We consider two classes of irreducible Markovian arrival processes specified by the matrices \(C\) and \(D\): the Markov-modulated Poisson process (MMPP) and the Markov-switched Poisson process (MSPP). The former exhibits a diagonal matrix D while the latter exhibits a diagonal matrix C. For these two classes we consider the following four statements: (I) the counting process is overdispersed; (II) the hazard rate of the event-stationary interarrival time is nonincreasing; (III) the squared coefficient of variation of the event-stationary process is greater than or equal to one; (IV) there is a stochastic order showing that the time-stationary interarrival time dominates the event-stationary interarrival time. For general MSPPs and order two MMPPs, we show that (I)–(IV) hold. Then for general MMPPs, it is easy to establish (I), while (II) is shown to be false by a counter-example. For general simple point processes, (III) follows from (IV). For MMPPs, we conjecture that (IV) and thus (III) hold. We also carry out some numerical experiments that fail to disprove this conjecture. Importantly, modelling folklore has often treated MMPPs as “bursty”, and implicitly assumed that (III) holds. However, to the best of our knowledge, proving this is still an open problem. doi: https://doi.org/10.1017/S1446181122000013

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27

Yamamoto, Yoshitsugu. "A PATH FOLLOWING ALGORITHM FOR STATIONARY POINT PROBLEMS." Journal of the Operations Research Society of Japan 30, no. 2 (1987): 181–99. http://dx.doi.org/10.15807/jorsj.30.181.

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28

Vlamos, Panayiotis M. "Convergence of stationary solutions of reaction-diffusion problems." Journal of Interdisciplinary Mathematics 10, no. 4 (August 2007): 553–57. http://dx.doi.org/10.1080/09720502.2007.10700515.

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29

Chou, Chin-Cheng, Kung-Fu Ng, and Jong-Shi Pang. "Minimizing and Stationary Sequences of Constrained Optimization Problems." SIAM Journal on Control and Optimization 36, no. 6 (November 1998): 1908–36. http://dx.doi.org/10.1137/s0363012995292548.

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30

Doronin, Gleb G., and Nikolai A. Larkin. "Boundary value problems for the stationary Kawahara equation." Nonlinear Analysis: Theory, Methods & Applications 69, no. 5-6 (September 2008): 1655–65. http://dx.doi.org/10.1016/j.na.2007.07.005.

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31

Vulanović, Relja. "A higher-order method for stationary shock problems." Applied Mathematics and Computation 108, no. 2-3 (February 2000): 139–52. http://dx.doi.org/10.1016/s0096-3003(99)00011-9.

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32

Enneking, T. J., B. F. Spencer, and I. P. E. Kinnmark. "Stationary Two‐State Variable Problems in Stochastic Mechanics." Journal of Engineering Mechanics 116, no. 2 (February 1990): 343–58. http://dx.doi.org/10.1061/(asce)0733-9399(1990)116:2(343).

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33

Leung, C. N., and Yvonne Y. Y. Wong. "Application of Padé interpolation to stationary state problems." American Journal of Physics 70, no. 10 (October 2002): 1020–24. http://dx.doi.org/10.1119/1.1503379.

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34

Gaifutdinov, A. N., and N. D. Yakimov. "Comparison theorems for non-stationary pressure filtration problems." Journal of Applied Mathematics and Mechanics 52, no. 1 (January 1988): 130–32. http://dx.doi.org/10.1016/0021-8928(88)90073-1.

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35

Melenk, H., H. M. Möller, and W. Neun. "Symbolic solution of large stationary chemical kinetics problems." IMPACT of Computing in Science and Engineering 1, no. 2 (June 1989): 138–67. http://dx.doi.org/10.1016/0899-8248(89)90027-x.

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36

Eppler, Karsten, and Helmut Harbrecht. "Tracking Neumann Data for Stationary Free Boundary Problems." SIAM Journal on Control and Optimization 48, no. 5 (January 2010): 2901–16. http://dx.doi.org/10.1137/080733760.

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37

Metel’skii, A. V., S. A. Minyuk, and O. A. Panasik. "Observability problems for regular stationary differential-algebraic systems." Journal of Computer and Systems Sciences International 49, no. 4 (August 2010): 537–47. http://dx.doi.org/10.1134/s1064230710040040.

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38

Ferm, Lars. "Open boundary conditions for stationary inviscid flow problems." Journal of Computational Physics 78, no. 1 (September 1988): 94–113. http://dx.doi.org/10.1016/0021-9991(88)90039-3.

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39

Bertrand, Florian, and Léa Blanc-Centi. "Stationary holomorphic discs and finite jet determination problems." Mathematische Annalen 358, no. 1-2 (September 3, 2013): 477–509. http://dx.doi.org/10.1007/s00208-013-0972-8.

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40

Iwata, Yutaro, Hideyuki Azegami, Taiki Aoyama, and Eiji Katamine. "Numerical solution to shape optimization problems for non-stationary Navier-Stokes problems." JSIAM Letters 2 (2010): 37–40. http://dx.doi.org/10.14495/jsiaml.2.37.

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41

Aussel, D., and C. C. Chou. "Asymptotical well behaviour for constrained minimisation problems." Bulletin of the Australian Mathematical Society 66, no. 3 (December 2002): 499–516. http://dx.doi.org/10.1017/s000497270004034x.

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This paper is devoted to the study of the links between stationary sequence and minimising sequence for constrained minimisation problems. The constraint set is not supposed to be convex and no differentiability assumption is made on the objective function. New tools are developed in this general framework and we prove a necessary and a sufficient condition for such problems to have a “constrained asymptotical well behaviour” (that is, each stationary sequence is a minimising sequence). Our work extend that of Auslender, Cominetti and Crouzeix.

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42

Freitas, Pedro. "Eigenvalue problems for the wave equation with strong damping." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 127, no. 4 (1997): 755–71. http://dx.doi.org/10.1017/s0308210500023805.

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This paper presents a study of linear operators associated with the linearisation of general semilinear strongly damped wave equations around stationary solutions. The structure of the spectrum of such operators is considered in detail, with an emphasis on stability questions. Necessary and sufficient conditions for the stability of the trivial solution of the linear equation are given, together with conditions for this solution to become unstable. In the latter case, the mechanisms which are responsible for the change of stability are analysed. These results are then applied to obtain stability and instability conditions for the semilinear problem. In particular, a condition is given which ensures that the dimensions of the centre and unstable manifolds of a stationary solution are the same as when that solution is considered as a stationary solution of an associated parabolic problem.

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43

Miyazawa, Masakiyo. "Martingale approach for tail asymptotic problems in the generalized Jackson network." Probability and Mathematical Statistics 37, no. 2 (May 14, 2018): 395–430. http://dx.doi.org/10.19195/0208-4147.37.2.11.

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MARTINGALE APPROACH FOR TAIL ASYMPTOTIC PROBLEMS IN THE GENERALIZED JACKSON NETWORKWe study the tail asymptotic of the stationary joint queue length distribution for a generalized Jackson network GJN for short, assumingits stability. For the two-station case, this problem has recently been solved in the logarithmic sense for the marginal stationary distributions under the setting that arrival processes and service times are of phase-type. In this paper, we study similar tail asymptotic problems on the stationary distribution, but problems and assumptions are different. First, the asymptotics are studied not only for the marginal distribution but also the stationary probabilities of state sets of small volumes. Second, the interarrival and service times are generally distributed and light tailed, but of phase-type in some cases. Third, we also study the case that there are more than two stations, although the asymptotic results are less complete. For them, we develop a martingale method, which has been recently applied to a single queue with many servers by the author.

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44

Chairis, Giovanni, and Ade Maulana. "Analisis Perancangan Dan Implementasi Sistem Informasi Stationary Berbasis Web Pada PT. Indako Trading Coy." Journal Information System Development (ISD) 7, no. 2 (July 28, 2022): 78. http://dx.doi.org/10.19166/isd.v7i2.564.

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PT. Indako Trading Coy is a company engaged in the automotive sector, which in carrying out business processes must use ATK. The company has problems in the procurement process and ATK requests where the process is still done manually and offline. Data collection in this research can be done by using interview techniques, literature study, observation, problem analysis and questionnaires to several users related to the system, then the author designs a Web-based stationary information system. From the results of the implementation of the information system, it can be proven that the procurement of ATK, ATK requests, calculation of ATK stock and forming a report becomes faster and more correct. and can be proven through data obtained from 12 questions conducted through a questionnaire that has 5 answer points to 10 users of the stationary information system. Based on the results of the questionnaire, it can be shown that the success of the system is 91.83% with an average point value of 91.83 points from user statements, it can be concluded that users strongly agree that this stationary information system can help the process of supplying stationery, requesting stationery, calculating stock of stationery and form reports quickly and correctly

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Lai, Kin Keung, Shashi Kant Mishra, Sanjeev Kumar Singh, and Mohd Hassan. "Stationary Conditions and Characterizations of Solution Sets for Interval-Valued Tightened Nonlinear Problems." Mathematics 10, no. 15 (August 4, 2022): 2763. http://dx.doi.org/10.3390/math10152763.

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In this paper, we obtain characterizations of solution sets of the interval-valued mathematical programming problems with switching constraints. Stationary conditions which are weaker than the standard Karush–Kuhn–Tucker conditions need to be discussed in order to find the necessary optimality conditions. We introduce corresponding weak, Mordukhovich, and strong stationary conditions for the corresponding interval-valued mathematical programming problems with switching constraints (IVPSC) and interval-valued tightened nonlinear problems (IVTNP), because the W-stationary condition of IVPSC is equivalent to Karush–Kuhn–Tucker conditions of the IVTNP. Furthermore, we use strong stationary conditions to characterize the several solutions sets for IVTNP, in which the last ones are particular solutions sets for IVPSC at the same time, because the feasible set of tightened nonlinear problems (IVTNP) is a subset of the feasible set of the mathematical programs with switching constraints (IVPSC).

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Grigorenko, Y. M., E. I. Bespalova, and N. P. Yaremchenko. "Some Stationary Deformation Problems for Compound Shells of Revolution." Bulletin of the National Technical University «KhPI» Series: Dynamics and Strength of Machines, no. 26 (September 23, 2017): 114–17. http://dx.doi.org/10.20998/2078-9130.2016.26.82742.

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Jia, Hongen. "Operator Splitting for the Non-stationary Thermal Convection Problems." Journal of Computational Mathematics 29, no. 4 (June 2011): 474–90. http://dx.doi.org/10.4208/jcm.1103-m3261.

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Nartov, B. K., and A. N. Poluyanov. "TO THE PROBLEMS OF OPTIMAL SEARCH FOR STATIONARY OBJECTS." Dynamics of Systems, Mechanisms and Machines 7, no. 4 (2019): 009–15. http://dx.doi.org/10.25206/2310-9793-7-4-9-15.

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Ghosh, Ashish, and Heinz Muehlenbein. "Univariate marginal distribution algorithms for non-stationary optimization problems." International Journal of Knowledge-based and Intelligent Engineering Systems 8, no. 3 (January 10, 2005): 129–38. http://dx.doi.org/10.3233/kes-2004-8301.

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Tröltzsch, Fredi, and Alberto Valli. "Optimal voltage control of non-stationary eddy current problems." Mathematical Control & Related Fields 8, no. 1 (2018): 35–56. http://dx.doi.org/10.3934/mcrf.2018002.

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