Scheduling of parallel machines to minimize total completion time subject to s-precedence constraints

Kim, Eun-Seok, Sung, Chang-Sup and Lee, Ik-Sun (2009) Scheduling of parallel machines to minimize total completion time subject to s-precedence constraints. Computers & Operations Research, 36 (3) . pp. 698-710. ISSN 0305-0548 [Article] (doi:10.1016/j.cor.2007.10.025)

Abstract

This paper considers a deterministic scheduling problem where multiple jobs with s-precedence relations are processed on multiple identical parallel machines. The objective is to minimize the total completion time. The s-precedence relation between two jobs i and j represents the situation where job j is constrained from processing until job i starts processing, which is different from the standard definition of a precedence relation where j cannot start until i completes. The s-precedence relation has wide applicability in the real world such as first-come-first-served processing systems. The problem is shown to be intractable, for which a heuristic procedure is derived. Numerical experiments are conducted to show that the derived heuristic provides effective solutions.

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