A1 Refereed original research article in a scientific journal

Simulated annealing algorithm for the robust spanning tree problem




AuthorsNikulin Y

PublisherSPRINGER

Publication year2008

JournalJournal of Heuristics

Journal name in sourceJOURNAL OF HEURISTICS

Journal acronymJ HEURISTICS

Volume14

Issue4

First page 391

Last page402

Number of pages12

ISSN1381-1231

DOIhttps://doi.org/10.1007/s10732-007-9057-8(external)


Abstract

This paper addresses the robust spanning tree problem with interval data, i.e. the case of classical minimum spanning tree problem when edge weights are not fixed but take their values from some intervals associated with edges. The problem consists of finding a spanning tree that minimizes so-called robust deviation, i.e. deviation from an optimal solution under the worst case realization of interval weights. As it was proven in Kouvelis and Yu (Robust Discrete Optimization and Its Applications, Kluwer Academic, Norwell, 1997), the problem is NP-hard, therefore it is of great interest to tackle it with some metaheuristic approach, namely simulated annealing, in order to calculate an approximate solution for large scale instances efficiently. We describe theoretical aspects and present the results of computational experiments. To the best of our knowledge, this is the first attempt to develop a metaheuristic approach for solving the robust spanning tree problem.



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