Reactive local search techniques for the maximum k-conjunctive constraint satisfaction problem ( MAX-k-CCSP)

Abstract

In this paper the performance of the Hamming-based Reactive Tabu Search algorithm (H-RTS) previously proposed for the Maximum Satisfiability problem is studied for the different Maximum k-Conjunctive Constraint Satisfaction problem. In addition, the use of non-oblivious functions recently proposed in the framework of approximation algorithms is investigated. In particular, two relevant special cases of the Maximum k-Conjunctive Constraint Satisfaction problem are considered: Maximum Directed Cut and Maximum Independent Set in cubic graphs. The preliminary diversification-bias analysis of the basic components shows a remarkable difference between the two problems, and the derived predictions are then validated by extensive experiments with the complete H-RTS algorithm. The performance of H-RTS is compared with that of Simulated Annealing and simple Repeated Local Search.