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Fragmentary Structures in Discrete Optimization Problems

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The paper considers a combinatorial object (a fragmentary structure) and investigates the properties of this object. It is shown that a number of discrete optimization problems can be considered as… Click to show full abstract

The paper considers a combinatorial object (a fragmentary structure) and investigates the properties of this object. It is shown that a number of discrete optimization problems can be considered as optimization problems on a fragmentary structure. Optimization problem reduces to an unconditional combinatorial optimization problem on a set of permutations. Variants of algorithms to find approximate solutions for optimization problems of fragmentary structure are proposed.

Keywords: fragmentary structure; fragmentary structures; discrete optimization; problems fragmentary; optimization; optimization problems

Journal Title: Cybernetics and Systems Analysis
Year Published: 2017

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