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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2013 Volume 19, Number 4, Pages 125–130 (Mi timm1006)

This article is cited in 1 paper

Dynamic programming in a problem of rearranging single-type objects

E. E. Ivanko

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

Abstract: We consider the problem of optimizing travels over a nonhomogeneous region in the process of rearranging $n$ single-type objects to $n$ new positions. We discuss possible applications of this problem, obtain a dynamic programming method for the construction of an optimal route combining the collection and placement of objects, and carry out a numerical experiment on a model segment of a map.

Keywords: rearrangement of objects, dynamic programming, traveling salesman problem.

UDC: 517.977

Received: 05.08.2013



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