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Search for Locally Optimal Strategies in a Linear Game Problemwith Favorable Situations 有利条件下线性博弈问题的局部最优策略搜索
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030104
A. R. Mamatov
{"title":"Search for Locally Optimal Strategies in a Linear Game Problem\u0000with Favorable Situations","authors":"A. R. Mamatov","doi":"10.1134/S1990478924030104","DOIUrl":"10.1134/S1990478924030104","url":null,"abstract":"<p> A linear game problem for two players is considered. The two players alternately choose\u0000their strategies from their respective sets. First, player 1 chooses his/her strategy, then player 2,\u0000knowing the strategy of player 1, does the same. The set of strategies of player 2 depends on the\u0000strategy of player 1. The goal of player 1 is to choose a strategy to maximize a convex and\u0000piecewise linear function (the minimum function of the strategy of player 2). The goal of player 2\u0000is to minimize the linear function. An algorithm is proposed that allows constructing strategies in\u0000this problem, as well as strategies in the dual problem, that satisfy necessary “higher-order”\u0000optimality conditions. This algorithm uses a formula for the increment of the objective function in\u0000the dual problem. Theorems that assert the finiteness of the proposed algorithm and its\u0000modification are proved. An example illustrating the operation of the algorithm is given. The\u0000results of a numerical experiment on the construction of strategies that satisfy the necessary\u0000“higher-order” optimality conditions in problems whose elements were generated by a random\u0000number generator are also presented. Based on the results of the numerical experiment, we can\u0000conclude that with the proposed algorithm, it is often possible to switch from one locally optimal\u0000strategy of player 1 to another one increasing the objective function.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"489 - 502"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757924","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical Studies of the Phase Field Model Describing ElectricBreakdown in a Heterogeneous Medium 描述非均质介质中电击穿的相场模型的数值研究
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030207
E. V. Zipunova, A. A. Kuleshov, E. B. Savenkov
{"title":"Numerical Studies of the Phase Field Model Describing Electric\u0000Breakdown in a Heterogeneous Medium","authors":"E. V. Zipunova,&nbsp;A. A. Kuleshov,&nbsp;E. B. Savenkov","doi":"10.1134/S1990478924030207","DOIUrl":"10.1134/S1990478924030207","url":null,"abstract":"<p> This paper presents the results of numerical studies of the phase field model for the\u0000development of an electrical breakdown path. The model consists of Maxwell’s equations in the\u0000quasi(electro)stationary approximation, the electric charge balance equation, and the Allen–Cahn\u0000equation describing the phase field evolution. Several problem settings concerning the\u0000development of a breakdown path in homogeneous as well as macro- and microheterogeneous\u0000media are considered.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"612 - 630"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Radon Transform Inversion Formula in the Classof Discontinuous Functions 不连续函数类中的Radon变换反演公式
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030013
D. S. Anikonov, D. S. Konovalova
{"title":"Radon Transform Inversion Formula in the Class\u0000of Discontinuous Functions","authors":"D. S. Anikonov,&nbsp;D. S. Konovalova","doi":"10.1134/S1990478924030013","DOIUrl":"10.1134/S1990478924030013","url":null,"abstract":"<p> We introduce the concept of a pseudoconvex set in an odd-dimensional Euclidean space.\u0000The inversion formula is obtained for the Radon transform in the case where the integrand is a\u0000piecewise continuous function defined on a pseudoconvex set. The result achieved is\u0000a generalization of a previously known property proved for smooth functions.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"379 - 383"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757936","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Study of the Threshold Stability of the Bilevel Problemof Facility Location and Discriminatory Pricing 设施选址与歧视性定价双层问题的阈值稳定性研究
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030165
M. E. Vodyan, A. A. Panin, A. V. Plyasunov
{"title":"A Study of the Threshold Stability of the Bilevel Problem\u0000of Facility Location and Discriminatory Pricing","authors":"M. E. Vodyan,&nbsp;A. A. Panin,&nbsp;A. V. Plyasunov","doi":"10.1134/S1990478924030165","DOIUrl":"10.1134/S1990478924030165","url":null,"abstract":"<p> The problem of threshold stability for a bilevel problem with a median type of facility\u0000location and discriminatory pricing is considered. When solving such a problem, it is necessary to\u0000find the threshold stability radius and a semifeasible solution of the original bilevel problem such\u0000that the leader’s revenue is not less than a predetermined value (threshold) for any deviation of\u0000budgets that does not exceed the threshold stability radius and which preserves its semifeasibility.\u0000Thus, the threshold stability radius determines the limit of disturbances of consumer budgets with\u0000which these conditions are satisfied.\u0000</p><p>Two approximate algorithms for solving the threshold stability problem based on\u0000the heuristic of descent with alternating neighborhoods are developed. These algorithms are based\u0000on finding a good approximate location of facilities as well as on calculating the optimal set of\u0000prices for the found location of facilities. The algorithms differ in the way they compare various\u0000locations of facilities; this ultimately leads to different estimates of threshold stability radius. A\u0000numerical experiment has shown the efficiency of the chosen approach both in terms of the\u0000running time of the algorithms and the quality of the solutions obtained.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"558 - 574"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757913","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Perfect Colorings of Submatrix Hypergraphs 子矩阵超图的完全着色
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030050
S. O. Borodin, A. A. Taranenko
{"title":"Perfect Colorings of Submatrix Hypergraphs","authors":"S. O. Borodin,&nbsp;A. A. Taranenko","doi":"10.1134/S1990478924030050","DOIUrl":"10.1134/S1990478924030050","url":null,"abstract":"<p> A submatrix hypergraph\u0000<span>( G_{ntimes m} )</span> is a hypergraph whose vertices are entries of an\u0000<span>( ntimes m )</span> matrix and hyperedges are submatrices of order\u0000<span>( 2 )</span>. In this paper, we consider perfect colorings of submatrix hypergraphs and\u0000study their parameters. We provide several constructions of perfect colorings of\u0000<span>( G_{ntimes m} )</span> and prove that the incidence matrices of\u0000<span>( 2 )</span>-designs are perfect colorings of the submatrix hypergraph. Moreover, we\u0000describe all perfect 2-colorings of hypergraphs\u0000<span>( G_{2times m} )</span> and\u0000<span>( G_{3times m} )</span>.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"424 - 440"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inverse Problems of Finding a Sourcein the Heat Equation from a Nonlocal Observation 从非局部观测求热方程源的反问题
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030141
K. B. Sabitov
{"title":"Inverse Problems of Finding a Source\u0000in the Heat Equation from a Nonlocal Observation","authors":"K. B. Sabitov","doi":"10.1134/S1990478924030141","DOIUrl":"10.1134/S1990478924030141","url":null,"abstract":"<p> The article presents the statement of inverse problems of finding the right-hand side of the\u0000heat equation from an additional integral condition and justifies their Hadamard well-posedness in\u0000the class of regular solutions. The uniqueness of solutions of the problems is proved on the basis of\u0000integral identities. The solutions of the problems are constructed explicitly using separation of\u0000variables and the integral equation method.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"536 - 547"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757918","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Approximate Near-Front Ray Solutionsin the Axisymmetric Strain Dynamicsof a Linear Elastic Half-Space 线性弹性半空间轴对称应变动力学的近似近前射线解
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S199047892403013X
V. E. Ragozina, Yu. E. Ivanova, O. V. Dudko
{"title":"Approximate Near-Front Ray Solutions\u0000in the Axisymmetric Strain Dynamics\u0000of a Linear Elastic Half-Space","authors":"V. E. Ragozina,&nbsp;Yu. E. Ivanova,&nbsp;O. V. Dudko","doi":"10.1134/S199047892403013X","DOIUrl":"10.1134/S199047892403013X","url":null,"abstract":"<p> The dynamics of axisymmetric two-dimensional strains in a linear elastic half-space\u0000bounded by a smooth surface of revolution with positive Gaussian curvature is considered. An\u0000approximate solution of the initial–boundary value problem is constructed on the basis of ray\u0000series with expansion in a time-like variable. The limited number of terms of the ray series is used\u0000for near-front domains of curvilinear waves of strong discontinuities. The coefficients of this series\u0000are the discontinuities of the derivatives of displacements with respect to time (starting from the\u0000first derivative). It is shown that it is necessary to take into account the ray series components up\u0000to the\u0000<span>( (k + 1) )</span>st order inclusive at the\u0000<span>( k )</span>th step of the ray method for a two-dimensional type of the deformation\u0000process.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"521 - 535"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Connections between Hyperbolic and Parabolic InverseOne-Dimensional Discrete Problems 双曲型与抛物型一维反离散问题的联系
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030116
A. S. Mikhaylov, V. S. Mikhaylov
{"title":"On the Connections between Hyperbolic and Parabolic Inverse\u0000One-Dimensional Discrete Problems","authors":"A. S. Mikhaylov,&nbsp;V. S. Mikhaylov","doi":"10.1134/S1990478924030116","DOIUrl":"10.1134/S1990478924030116","url":null,"abstract":"<p> The boundary control method is applied to the solution of one-dimensional discrete\u0000inverse problems. The discrete counterparts of the operators used in the method (the control,\u0000response, and connecting operators) are defined. The relations between the operators\u0000corresponding to the discrete wave equation and the discrete heat equation are established.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"503 - 515"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A New Quantum Oracle Modelfor a Hybrid Quantum-Classical Attack on Post-Quantum Lattice-BasedCryptosystems 后量子格密码系统混合量子经典攻击的新量子预言模型
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030037
A. O. Bakharev
{"title":"A New Quantum Oracle Model\u0000for a Hybrid Quantum-Classical Attack on Post-Quantum Lattice-Based\u0000Cryptosystems","authors":"A. O. Bakharev","doi":"10.1134/S1990478924030037","DOIUrl":"10.1134/S1990478924030037","url":null,"abstract":"<p> Lattice-based cryptosystems are one of the main post-quantum alternatives to asymmetric\u0000cryptography currently in use. Most attacks on these cryptosystems can be reduced to the\u0000shortest vector problem (SVP) in a lattice. Previously, the authors proposed a quantum oracle\u0000model from Grover’s algorithm to implement a hybrid quantum-classical algorithm based on the\u0000GaussSieve algorithm and solving SVP. In this paper, a new model of a quantum oracle is\u0000proposed and analyzed. Two implementations of the new quantum oracle model are proposed and\u0000estimated. The complexity of implementing the new quantum oracle model to attack\u0000post-quantum lattice-based cryptosystems that are finalists of the NIST post-quantum\u0000cryptography competition is analyzed. Comparison of obtained results for new and existing\u0000models of quantum oracle is given.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"395 - 411"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757934","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Application of Evolutionary Computations for Solving OptimalControl Problems with Terminal Constraints 演化计算在解决终端约束最优控制问题中的应用
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2024-12-01 DOI: 10.1134/S1990478924030025
E. V. Antipina, S. A. Mustafina, A. F. Antipin
{"title":"Application of Evolutionary Computations for Solving Optimal\u0000Control Problems with Terminal Constraints","authors":"E. V. Antipina,&nbsp;S. A. Mustafina,&nbsp;A. F. Antipin","doi":"10.1134/S1990478924030025","DOIUrl":"10.1134/S1990478924030025","url":null,"abstract":"<p> The article is devoted to the development of a numerical algorithm for finding an\u0000approximate solution of an optimal control problem with terminal constraints and control\u0000constraints. The algorithm is based on the reduction of the original optimal control problem to a\u0000finite-dimensional problem and the use of the penalty method and the differential evolution\u0000method to solve the latter. A feature of the proposed approach is that the solution found is\u0000independent of the choice of the initial approximation. The operation of the algorithm is\u0000illustrated by its application to applied optimal control problems. The results of computational\u0000experiments are consistent with the results of calculations based on other methods.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"384 - 394"},"PeriodicalIF":0.58,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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