An effective discrete harmony search for solving bi-criteria FJSP

In this paper, a hybrid Pareto-based harmony search (HS) algorithm was proposed for solving the bi-criteria flexible job shop scheduling problem (FJSP). The two objectives were considered concurrently, i.e., to minimize the maximal completion time and to minimize the total workload of all machines. The discrete harmony search (DHS) was developed, which combined detailed designed crossover and mutant operators to obtain both convergence capability and population diversity. An external Pareto archive with non-dominated sorting method was created to store the non-dominated solutions found so far, so that to obtain the near Pareto front solutions. Experimental results based on the two well-known benchmarks conclude that our hybrid algorithm is superior to the other most recently approaches in terms of both solution quality and computational complexity.