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Probabilistic move selection in tabu search for zero-one mixed integer programming problems. (English) Zbl 0877.90058

Osman, Ibrahim H. (ed.) et al., Meta-heuristics: theory and applications. International conference (MIC), Breckenridge, CO, USA, 22–26 July 1995. Dordrecht: Kluwer Academic Publishers. 467-487 (1996).
Summary: We extend our previous work applying first-level tabu search mechanisms to 0/1 MIP problems, introducing probabilistic measures for move selection. These are especially applicable when the move evaluation function is contaminated by noise or contains elements not directly related to the objective function value. We also look at the possibility of replacing tabu memory completely by associated probabilistic guidance. Our approach is designed with the ability to solve general 0/1 MIP problems, and thus contains no problem domain specific knowledge. The outcome improves significantly on the solutions obtained by the first-level tabu search mechanisms previously employed. The probabilistic measures are extremely simple to implement, and can be readily incorporated in standard tabu search designs.
For the entire collection see [Zbl 0869.00056].

MSC:

90C11 Mixed integer programming
90C09 Boolean programming
68T05 Learning and adaptive systems in artificial intelligence