Abstract

Abstract This paper is concerned with sequencing a finite number of jobs when there is a fixed number of identical machines and each job requires several machines working simultaneously for a given length of time. Performance criteria are minimizing average completion time and minimizing the maximum completion time. Optimal solutions for small problems were computed by branch-and-bound. Heuristic sequencing rules were applied to the same problems and a set of larger problems. Sequencing jobs by giving preference to large machine-hour requirements and then reversing the schedule gave fairly good performance on both measures, although other methods work better against the average completion time criteria.

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