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JOURNALS // Problemy Upravleniya // Archive

Probl. Upr., 2013 Issue 5, Pages 12–21 (Mi pu808)

This article is cited in 14 papers

Mathematical problems in management

Elements of dynamic programming in extremal route problems

A. A. Chentsovab, A. G. Chentsovab, P. A. Chentsovba

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University, Ekaterinburg

Abstract: The paper considers the routing problem of visiting megalopolises, that is complicated by constraints in the form of precedence conditions and work within megalopolises; it is assumed that the cost function may depend on the job list. It is noted that the application of the theory may be associated with the task of disassembly the decommissioned nuclear plant. In this problem, the cost of moving depends on the list of outstanding tasks: not removed pieces of equipment emit. It is shown that the computational difficulty of the constructed algorithms requires the use of parallel structure elements.

UDC: 519.6


 English version:
Control Sciences, 2014, 75:3, 537–550

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