On complexity of optimal recombination for flowshop scheduling problems

Under study is the complexity of optimal recombination for various flowshop scheduling problems with the makespan criterion and the criterion of maximum lateness. The problems are proved to be NP-hard, and a solution algorithm is proposed. In the case of a flowshop problem on permutations, the algorithm is shown to have polynomial complexity for “almost all” pairs of parent solutions as the number of jobs tends to infinity. Ill. 4, bibliogr. 26.