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Performance Comparison of Heuristics for Weapon-Target Assignment Problem with Transitivity Rules in Weapon's Kill Probability  

Yim, Dong-Soon (한남대학교 산업경영공학과)
Choi, Bong-Wan (한남대학교 국방전략대학원/무기체계.M&S 연구센터)
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Abstract
In this study, the weapon-target assignment problem arising in military application of operations research is considered. We reformulated the problem in order to simplify the solution methods based on genetic algorithms and heuristics. Since the problem is well known as NP-complete and cannot be solved in polynomial time, such solution methods have been widely used to obtain good solutions. Two chromosome representations--target number representation and permutation representation--in genetic algorithm are compared. In addition, a construction heuristic and three improving heuristics are developed. Several experiments under the condition of transitivity rules in weapon's kill probability have been accomplished. It shows that the construction heuristic and exchange-based improving heuristic guarantees good solutions within a second and the performance of construction heuristic is sensitive to transitivity rules.
Keywords
Weapon Assignment Problem; Heuristics; Performance;
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