AN EFFECTIVE APPROACH FOR SOLVING THE BINARY ASSIGNMENT PROBLEM WITH SIDE CONSTRAINTS
Gary A. Kochenberger, Fred Glover, Bahram Alidaee
Abstract
Gary A. Kochenberger, Fred Glover, Bahram Alidaee
Abstract
The binary assignment problem with a side constraint requiring the objective function to receive a specified value, which in general is an NP-hard problem, has been the focus of several papers in recent years. The current literature addresses various theoretical aspects of the problem, with a particular emphasis on a simplifying special case, but stops short of giving any computational experience. In this paper, we present a simple reformulation that enables the problem, and some of its extensions, to be solved by commonly available heuristic methods. We present preliminary computational experience with a Tabu search method that illustrates the effectiveness and computational robustness of the approach.
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The binary assignment problem with a side constraint requiring the objective function to receive a specified value, which in general is an NP-hard problem, has been the focus of several papers in recent years. The current literature addresses various theoretical aspects of the problem, with a particular emphasis on a simplifying special case, but stops short of giving any computational experience. In this paper, we present a simple reformulation that enables the problem, and some of its extensions, to be solved by commonly available heuristic methods. We present preliminary computational experience with a Tabu search method that illustrates the effectiveness and computational robustness of the approach.
Key concepts: Mathematical optimization, Computer science, Tabu search, Robustness (evolution), Heuristic, Binary number, Computational problem, Focus (optics)