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JOURNALS // Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki // Archive

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2019 Volume 29, Issue 4, Pages 599–611 (Mi vuu704)

COMPUTER SCIENCE

Experimental research of the application of modern combinatorial optimization solvers to the accompanying manufacturing optimization problem

A. N. Belousov, E. E. Ivanko

Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi, 16, Yekaterinburg, 620990, Russia

Abstract: The paper is devoted to the problem of optimization of accompanying manufacturing in flexible or reconfigurable manufacturing systems. Using a set of obligatory products as an input, the initial problem is reduced to two interrelated subproblems: 1) for each product from the set of obligatory products, form a group of additional (accompanying) products that can be manufactured without changing the state of production, and 2) determine the order of manufacturing changeovers between the groups of additional products, as well as the “points of entry and exit” for each group. The subproblems are considered sequentially: the first subproblem is reduced to the maximum weight clique problem, the second — to the cluster traveling salesman problem. Large-scale computational experiments were conducted to reveal the benefits of applying effective modern methods for solving both subproblems in comparison with the greedy solution (which models the rational actions of a human operator solving large accompanying manufacturing problems in short time).

Keywords: optimization of accompanying manufacturing, flexible and reconfigurable manufacturing, maximum weight clique, cluster travelling salesman problem.

UDC: 65.012.122, 519.688

MSC: 68M20, 90B30

Received: 10.10.2019

DOI: 10.20537/vm190410



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