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Two-Dimensional Inverse Problem for a Viscoelasticity Equationin a Vertically Inhomogeneous Medium 垂直非均匀介质中粘弹性方程的二维反问题
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2025-11-02 DOI: 10.1134/S1990478925010132
Zh. D. Totieva
{"title":"Two-Dimensional Inverse Problem for a Viscoelasticity Equation\u0000in a Vertically Inhomogeneous Medium","authors":"Zh. D. Totieva","doi":"10.1134/S1990478925010132","DOIUrl":"10.1134/S1990478925010132","url":null,"abstract":"<p> The two-dimensional inverse problem of determining the kernel of an elasticity equation of\u0000memory type is studied. It is assumed that the coefficients of the equations depend on only one\u0000spatial variable. Applying the linearization principle, the inverse problem is reduced to an\u0000equivalent linear system of integral equations. The generalized principle of compressed maps is\u0000applied to the latter in the space of continuous functions. The theorem of unique solvability is\u0000proved and an estimate of the stability of the solution to the inverse problem is obtained.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"19 1","pages":"157 - 168"},"PeriodicalIF":0.58,"publicationDate":"2025-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145425991","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
Public-Private Partnership Concerning Infrastructure Projectsin a Resource Region: A Model Based on a Consortium of Subsoil Users 资源地区基础设施项目公私合作：基于地下用户联合体的模式
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2025-11-02 DOI: 10.1134/S1990478925010156
A. O. Zyryanov, S. M. Lavlinskii, A. A. Panin, A. V. Plyasunov
{"title":"Public-Private Partnership Concerning Infrastructure Projects\u0000in a Resource Region: A Model Based on a Consortium of Subsoil Users","authors":"A. O. Zyryanov,&nbsp;S. M. Lavlinskii,&nbsp;A. A. Panin,&nbsp;A. V. Plyasunov","doi":"10.1134/S1990478925010156","DOIUrl":"10.1134/S1990478925010156","url":null,"abstract":"<p> We propose a model for the formation of a resource region development program using\u0000a special mechanism of public-private partnership. It is based on the clustering of fields and the\u0000creation of a system of consortia of private investors jointly implementing projects for the\u0000construction of the necessary production infrastructure. The mechanism for achieving\u0000a compromise between the interests of the government and private investors uses the Stackelberg\u0000model, in which the government is the leader. It determines quotas of compensation of consortia’s\u0000costs for the implementation of infrastructure projects. The role of the follower is assigned to the\u0000system of consortia, which forms the program of infrastructure construction. The solution of the\u0000corresponding bilevel mathematical programming problem allows us to form a targeted\u0000development plan. Its components are lists of infrastructure projects to be implemented in\u0000consortia, as well as schedules of costs for shared construction of infrastructure and their\u0000compensation from the budget for private investors. It is shown that the government problem is\u0000<span>( Sigma ^P_2 )</span>-hard and belongs to the class\u0000<span>( Sigma ^P_2text {O} )</span> if the variables defining the transfer schedule take only integer values. A new\u0000stochastic approximate hybrid algorithm is developed to solve the two-level problem based on\u0000metaheuristics using the ideas of coordinate descent. The results of calculations on real data for\u0000the Zabaikalsky Krai allow us to formulate a set of practical recommendations on the formation of\u0000the mechanism of shared construction and the policy of compensation payments.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"19 1","pages":"181 - 196"},"PeriodicalIF":0.58,"publicationDate":"2025-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145425993","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
The Inverse Problem for a Quasilinear Wave Equation withMemory 一类带记忆的拟线性波动方程的反问题
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2025-11-02 DOI: 10.1134/S1990478925010107
V. G. Romanov, T. V. Bugueva
{"title":"The Inverse Problem for a Quasilinear Wave Equation with\u0000Memory","authors":"V. G. Romanov,&nbsp;T. V. Bugueva","doi":"10.1134/S1990478925010107","DOIUrl":"10.1134/S1990478925010107","url":null,"abstract":"<p> The forward and inverse problems are investigated for the quasilinear wave equation\u0000<span>( square u -q(x)u^{2}-Kast u=0 )</span> where the kernel\u0000<span>( K(x,t) )</span> is represented in the form\u0000<span>( K(x,t)=p(x) K_0(t) )</span> with\u0000<span>( p(x) )</span> being a continuous function. The inverse problem is devoted to the\u0000determination of the compact functions\u0000<span>( q(x) )</span> and\u0000<span>( p(x) )</span>. Traces of the derivative with respect to\u0000<span>( x )</span> of two solutions to the forward initial–boundary value problem related to two\u0000arbitrary boundary data are given for\u0000<span>( x=0 )</span> on the finite segment\u0000<span>( [0,T] )</span> as an additional information for the solution to the inverse problem. The\u0000conditions for the unique solvability of the forward problem are found. A local existence and\u0000uniqueness theorem is proved for the inverse problem.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"19 1","pages":"104 - 130"},"PeriodicalIF":0.58,"publicationDate":"2025-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145425988","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
The Problem on an Edge Dislocation Running at SuperseismicVelocity 以超震速度运行的边缘位错问题
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2025-11-02 DOI: 10.1134/S1990478925010119
V. M. Sadovskii, O. V. Sadovskaya
{"title":"The Problem on an Edge Dislocation Running at Superseismic\u0000Velocity","authors":"V. M. Sadovskii,&nbsp;O. V. Sadovskaya","doi":"10.1134/S1990478925010119","DOIUrl":"10.1134/S1990478925010119","url":null,"abstract":"<p> As a model of shear rupture in the Earth’s crust at the depths of seismic activity, which\u0000grows with a velocity exceeding the velocity of longitudinal waves, we consider a Volterra edge\u0000dislocation moving in an infinite isotropic elastic medium under the action of preliminary\u0000tangential stresses. In the plane strain approximation, the equations of stationary motion of the\u0000medium around the dislocation are reduced to a hyperbolic system of equations for velocities and\u0000stresses, which is integrated by the method of characteristics. Using the invariant\u0000<span>( J )</span>–integral, an estimate of the energy released during the motion of dislocation\u0000is obtained, depending on the velocity, the value of tangential stress at infinity, the length of the\u0000fan adjacent to the vertex of dislocation, and on the nature of the distribution of the Burgers\u0000vector in the fan.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"19 1","pages":"131 - 141"},"PeriodicalIF":0.58,"publicationDate":"2025-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145425990","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
Optimization of Inventory Management Strategiesfor Order Deliveries Using Multicriteria Decision Making under Conditions ofUncertainty 不确定条件下基于多准则决策的订单交付库存管理策略优化
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2025-11-02 DOI: 10.1134/S1990478925010041
D. A. Gusev, O. A. Sviridova, I. G. Shidlovskii, G. L. Brodetskiy
{"title":"Optimization of Inventory Management Strategies\u0000for Order Deliveries Using Multicriteria Decision Making under Conditions of\u0000Uncertainty","authors":"D. A. Gusev,&nbsp;O. A. Sviridova,&nbsp;I. G. Shidlovskii,&nbsp;G. L. Brodetskiy","doi":"10.1134/S1990478925010041","DOIUrl":"10.1134/S1990478925010041","url":null,"abstract":"<p> In today’s inventory management, there is a need to optimize new models in order to\u0000select the best solution to ensure order fulfillment. These models must take into account various\u0000uncertainties, as well as the concept of time value of money. At the same time, it is important to\u0000note that in practice, appropriate solutions are often multicriteria due to the complex nature of\u0000supply chains.\u0000</p><p>To address this, the authors have developed a method for optimizing such tasks\u0000based on a combination of multicriteria optimization procedures and decision making under\u0000uncertainty. However, this approach is shown to require further refinement in practice. The\u0000proposed refinement aims to assist managers in avoiding undesirable outcomes related to\u0000alternative selection. These are situations related to phenomena that lead to the selection of\u0000alternatives that may not be optimal for the preferences of the decision maker.\u0000</p><p>The corresponding adjustment would result in introduction of a specific feature in\u0000the form of optimization procedures. In such an adjustment, it is proposed to present initial\u0000indicators of given specific criteria on the basis of so-called aggregated data, which eliminates the\u0000factor of dimensionality. A numerical example is provided using the development of a stock\u0000management strategy as an example, considering the need to select a logistics intermediary and in\u0000conditions of uncertainty regarding demand and potential delays in delivery. In this scenario,\u0000a weighted average of estimates of specific criteria is used as the selection criterion and the\u0000Hurwitz criterion is employed to account for uncertainty.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"19 1","pages":"40 - 50"},"PeriodicalIF":0.58,"publicationDate":"2025-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145425983","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
Homogenization of a Nonstationary Model of Linear Theory ofElasticity with Account for Temporal Correlation of Phases in a HeterogeneousStructure 考虑异质结构中相位时间相关性的线性弹性理论非平稳模型的均匀化
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2025-11-02 DOI: 10.1134/S1990478925010077
A. V. Mishin
{"title":"Homogenization of a Nonstationary Model of Linear Theory of\u0000Elasticity with Account for Temporal Correlation of Phases in a Heterogeneous\u0000Structure","authors":"A. V. Mishin","doi":"10.1134/S1990478925010077","DOIUrl":"10.1134/S1990478925010077","url":null,"abstract":"<p> The paper presents the homogenization of the nonstationary model of the linear theory of\u0000elasticity by the method of conditional moments, as a result of which the effective coefficients of\u0000the linear theory of elasticity and the effective density are obtained. As a result of performing\u0000operations, the obtained effective coefficients depend on the scales of phase correlation in time and\u0000space and are interdependent. The occurrence of correlation scales is a consequence of calculating\u0000the integrals containing the Green’s function (the solution for the operator of the nonstationary\u0000model of the linear theory of elasticity) and the correlation function of the structure in time and\u0000space. The effective density is investigated.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"19 1","pages":"67 - 76"},"PeriodicalIF":0.58,"publicationDate":"2025-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145425981","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
Computational Complexity of the Choice Problemfor Typical Representatives of a Finite Point Setin a Metric Space 度量空间中有限点集典型代表选择问题的计算复杂度
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2025-11-02 DOI: 10.1134/S1990478925010016
I. A. Borisova
{"title":"Computational Complexity of the Choice Problem\u0000for Typical Representatives of a Finite Point Set\u0000in a Metric Space","authors":"I. A. Borisova","doi":"10.1134/S1990478925010016","DOIUrl":"10.1134/S1990478925010016","url":null,"abstract":"<p> We analyze the complexity of one extremal problem of choosing a subset of\u0000<span>( p )</span> points in a given finite set in a metric space. The chosen subset of points is\u0000required to describe given clusters in the best way from the point of view of some geometric\u0000criterion. This problem is a formalization of one applied problem from data mining that consists\u0000in finding a subset of typical representatives of a dataset based on the rival similarity function. We\u0000prove that the problem under consideration is NP-hard by polynomially reducing the well-known\u0000NP-hard 3D-Matching problem to this one.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"19 1","pages":"1 - 6"},"PeriodicalIF":0.58,"publicationDate":"2025-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145425992","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 Eternal Domination Number of Planar Graphs withDiameter 2 论直径为2的平面图的永恒支配数
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2025-11-02 DOI: 10.1134/S1990478925010120
D. S. Taletskii
{"title":"On the Eternal Domination Number of Planar Graphs with\u0000Diameter 2","authors":"D. S. Taletskii","doi":"10.1134/S1990478925010120","DOIUrl":"10.1134/S1990478925010120","url":null,"abstract":"<p> An <i>eternal dominating set of a graph</i> is\u0000a dominating set\u0000<span>( D )</span> on which mobile guards are initially located (at most one guard is allowed on\u0000any vertex). For any infinite sequence of attacks occurring sequentially at vertices, the set\u0000<span>( D )</span> can be modified by moving the guard from an adjacent vertex to the attacked\u0000vertex, provided the attacked vertex has no guard on it at the time it is attacked. The\u0000configuration of guards after each attack must induce a dominating set. The <i>eternal domination number</i> of a graph is the cardinality of its\u0000minimum eternal dominating set. We prove that the eternal domination number of any planar\u0000graph of diameter 2 is equal to its clique covering number.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"19 1","pages":"142 - 156"},"PeriodicalIF":0.58,"publicationDate":"2025-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145425989","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 Model of Hybrid Population Dynamics with Refuge-Regime:Regularization and Limit Sets 具有避难状态的混合种群动力学模型：正则化和极限集
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2025-07-11 DOI: 10.1134/S1990478924040082
A. N. Kirillov, A. M. Sazonov
{"title":"A Model of Hybrid Population Dynamics with Refuge-Regime:\u0000Regularization and Limit Sets","authors":"A. N. Kirillov,&nbsp;A. M. Sazonov","doi":"10.1134/S1990478924040082","DOIUrl":"10.1134/S1990478924040082","url":null,"abstract":"<p> The paper is devoted to the regularization of the population “predator-prey” dynamics\u0000with the preys’ intraspecific competition. The model has the form of the hybrid system consisting\u0000of the two two-dimensional systems switching between each other. The switching of the systems\u0000allows us to reproduce the special Refuge-regime when the prey number is very small and the\u0000predators have complications to find preys. The regularization of the system by using two\u0000switching lines to avoid chattering is provided. The limit sets for the regularized model are\u0000established. The model sensitivity to the switchings is investgated. The condition under which the\u0000hybridization does not change the global stability of an equilibrium is derived. In the other case\u0000the limit sets are cycles.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 4","pages":"709 - 721"},"PeriodicalIF":0.58,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143023","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 Solution of the Inverse Problem of ElectricalImpedance Tomography Using the Iteration Method 电阻抗层析成像反演问题的迭代数值解
IF 0.58
Journal of Applied and Industrial Mathematics Pub Date : 2025-07-11 DOI: 10.1134/S199047892404001X
A. A. Afanasyeva, A. V. Starchenko
{"title":"Numerical Solution of the Inverse Problem of Electrical\u0000Impedance Tomography Using the Iteration Method","authors":"A. A. Afanasyeva,&nbsp;A. V. Starchenko","doi":"10.1134/S199047892404001X","DOIUrl":"10.1134/S199047892404001X","url":null,"abstract":"<p> A computational algorithm has been developed for solving the inverse problem of electrical\u0000impedance tomography in a complete electrode model, which is an inverse coefficient problem for\u0000a difference scheme built on unstructured grids for an elliptic equation with integro-differential\u0000boundary conditions. The iteration algorithm is based on the iterative regularized Gauss–Newton\u0000method in which the inverse matrix of the main matrix of the system of linear equations is\u0000calculated; the derivatives of the main matrix whose coefficients depend linearly on conductivity\u0000are found analytically. The implementation of the computational algorithm is performed for the\u0000two-dimensional case of a 16-electrode disk model with one insert. The influence of the choice of\u0000the initial approximation and the error in the input data on the convergence of the iteration\u0000process has been studied.\u0000</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 4","pages":"631 - 642"},"PeriodicalIF":0.58,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145143122","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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