Applying tabu search with influential diversification to multiprocessor scheduling

Abstract

We describe a tabu search approach to the scheduling problem of minimizing the makespan on n tasks on m equivalent processors. This problem is isomorphic to a variant of the multiple bin packing problem. We make use of a candidate list strategy that generates only a small subset of all possible moves, and employ a dynamic tabu list for handing tabu restrictions. We also introduce an influential diversification component to overcome an entrenched regionality phenomenon that represents a “higher order” difficulty encountered by local search methods. Influential diversification notably improves the behavior and quality of the solutions of our tabu search procedure as the search horizon grows. Results are presented for a range of problems of varying dimensions, and our method is also compared to an extended simulated annealing approach that previously has produced the best solutions for the isomorphic bin packing problem.