A1 Refereed original research article in a scientific journal
Simulated annealing algorithm for the robust spanning tree problem
Authors: Nikulin Y
Publisher: SPRINGER
Publication year: 2008
Journal: Journal of Heuristics
Journal name in source: JOURNAL OF HEURISTICS
Journal acronym: J HEURISTICS
Volume: 14
Issue: 4
First page : 391
Last page: 402
Number of pages: 12
ISSN: 1381-1231
DOI: https://doi.org/10.1007/s10732-007-9057-8(external)
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.