Game-Theoretic Control of the Object’s Random Jump Structure in the Class of Pure Strategies

Boldinov, V. A.; Bukhalëv, V. A.; Скрынников, А. А.

doi:10.1134/s1064230720040024

Cited by 5 publications

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“…Thus, in this problem, the goal is a fuzzy set A in contrast to classical dynamic programming problems [3], where the goal is clearly defined as value zn that maximizes the index g(zn).…”

Section:    mentioning

confidence: 99%

Features for making decisions in the interests of organizing transport processes

et al. 2021

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The practice of management activities suggests that the experience and knowledge of managers alone cannot always provide an optimal or even rational solution without additional scientifically grounded methods for assessing the effectiveness of possible options for organizing transport processes. All this generated a need for the development of scientific methods for making (developing, supporting, justifying) decisions that would make it possible to develop specific recommendations for the head who manages the facility in difficult situations. These methods included the formation of effectiveness measures in the form of maximum or minimum of a single indicator — the target function with or without constraints and various algorithms for finding the values of arguments that provide the required value of this function. Subsequently, mathematical methods for solving multi-criteria problems involving different goals of the operation and using, respectively, a lot of alternative effectiveness measures began to develop.

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“…Thus, in this problem, the goal is a fuzzy set A in contrast to classical dynamic programming problems [3], where the goal is clearly defined as value zn that maximizes the index g(zn).…”

Section:    mentioning

confidence: 99%

Features for making decisions in the interests of organizing transport processes

et al. 2021

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Game control of air strikes against a recoverable ground facility

Bukhalëv

Boldinov

Скрынников

2021

J. Phys.: Conf. Ser.

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The current task is dedicated to the problem of developing minimax game control in pure strategies when two enemies (an aviation group and a repair team) act against each other. The first one destroys an object and the second one repairs it. The algorithm of optimal controlling process based on the average risk criterion does not guarantee a result of the governance. It happens because of both enemies observe and conduct the object’s structure. Optimal solutions are based on the Systems theory with a random jumping structure and the Game theory too. The controlled object is described by dynamic stochastic system with a random jumping structure which has a finite number of possible states. Transitions from one state to another occur at random moments of time and they are controlled by two warring parties (the aviation group and the repair team) pursuing strictly opposite goals. State changing process of the object’s structure is assessed by indicators of players which are worked with errors. Some kind of object’s state functionality is a criterion for the optimality of controlling processes. One party seeks to minimize it and the other one seeks to maximize it. Players control the object’s structure in clean strategies applying the final number of possible strategies. The optimal controlling processes are among the class of non-stochastic mathematical dependencies on the observations results which are preceded the current moment.

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Bayesian Recognition of the State of the Information-Measuring System of a Moving Object: Study of the Algorithm for Correcting the Weight of A Priori Information

Ermolin¹,

Muzhichek

Pavlov

et al. 2022

J. Comput. Syst. Sci. Int.

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Game-Theoretic Control of the Object’s Random Jump Structure in the Class of Pure Strategies

Cited by 5 publications

References 1 publication

Features for making decisions in the interests of organizing transport processes

Features for making decisions in the interests of organizing transport processes

Game control of air strikes against a recoverable ground facility

Bayesian Recognition of the State of the Information-Measuring System of a Moving Object: Study of the Algorithm for Correcting the Weight of A Priori Information

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