A controlled search simulated annealing method for the single machine weighted tardiness problem

In this paper, a new controlled search simulated annealing method is developed for addressing the single machine weighted tardiness problem. The proposed method is experimentally shown to solve optimally 99% of fifteen job problems with less than 0.2 CPU seconds, and to solve one hundred job problems as accurately as any existing methods, but with far less computational effort. This superior performance is achieved by using controlled search strategies that employ a good initial solution, a small neighborhood for local search, and acceptance probabilities of inferior solutions that are independent of the change in the objective function value.