Abstract

ABSTRACT This paper presents a temporal decomposition approach for the one—machine scheduling problem, with ready times, due dates and fixed processing times. We aim at characterizing feasible schedules of the problem and deriving benefit from the temporal properties pointed out, in order to generate a solution which minimizes the maximum lateness. The set of feasible schedules is characterized by means of constraint—based analysis rules. They permit the determination of the feasible locations of each task in a sequence, represented by the rank interval. A solving heuristic procedure is described; it decomposes the set of tasks according to their rank intervals and applicates upon each subproblem a priority rule. Computational results are reported, so that the characterization method as well as the solving procedure can be evaluated.

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