Game-Theoretic Approach for Solving Multiobjective Flow Problems on Networks [PDF]
The game-theoretic formulation of the multiobjective multicommodity flow problem is considered. The dynamic version of this problem is studied and an algorithm for its solving, based on the concept of multiobjective games, is proposed.
Maria A. Fonoberova, Dmitrii D. Lozovanu
doaj +2 more sources
On stability in game problems of finding Nash set [PDF]
A finite game of several players in the case of linear payoff functions is considered. Stability of the problem of finding the set of Nash equilibrium situations is investigated.
Sergey E. Bukhtoyarov, Kirill G. Kuzmin
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On stability of Nash equilibrium situations and Pareto optimal situations in finite games [PDF]
A non-cooperative finite game of several persons is considered in the case, where payoff functions are linear. Extreme levels of independent perturbations of payoff functions parameters, which remain Nash and Pareto optimality of a situation, are ...
Vladimir A. Emelichev +1 more
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Postoptimal analysis of one lexicographic combinatorial problem with non-linear criteria [PDF]
In this article we consider a multicriteria combinatorial problem with ordered MINMIN criteria. We obtain necessary and sufficient conditions of that type of stability to the initial data perturbations for which all lexicographic optima of the original ...
Vladimir A. Emelichev, Olga V. Karelkina
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The maximum flow in dynamic networks [PDF]
The dynamic maximum flow problem that generalizes the static maximum flow problem is formulated and studied. We consider the problem on a network with capacities depending on time, fixed transit times on the arcs, and a given time horizon.
Maria A. Fonoberova, Dmitrii D. Lozovanu
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The minimum cost multicommodity flow problem in dynamic networks and an algorithm for its solving [PDF]
The dynamic version of the minimum cost multicommodity flow problem that generalizes the static minimum cost multicommodity flow problem is formulated and studied.
Maria A. Fonoberova, Dmitrii D. Lozovanu
doaj +1 more source
Polynomial Time Algorithm for Determining Max-Min Paths in Networks and Solving Zero Value Cyclic Games [PDF]
We study the max-min paths problem, which represents a game version of the shortest and the longest paths problem in a weighted directed graph. In this problem the vertex set V of the weighted directed graph G=(V,E) is divided into two disjoint subsets ...
Dmitrii D. Lozovanu
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Computational experiments with a lazy version of a K quickest simple path ranking algorithm [PDF]
Graph algorithms, Networks, Quickest path, Ranking, 90C27, 90C35,
Pascoal, M. +7 more
core +1 more source
Branch and win: OR tree search algorithms for solving combinatorial optimisation problems [PDF]
Combinatorial optimization, branch and bound, artificial intelligence, 90C27, 90C57, 68T20,
Corominas Subias, Albert +3 more
core +1 more source
An instance of a balanced optimization problem with vector costs consists of a ground set X, a cost-vector for every element of X, and a system of feasible subsets over X.
AnnetteM.C. Ficker +2 more
doaj +1 more source

