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Preemptive scheduling on two identical parallel machines with a single transporter

Author

Listed:
  • Hans Kellerer

    (Universität Graz)

  • Alan J. Soper

    (University of Greenwich)

  • Vitaly A. Strusevich

    (University of Greenwich)

Abstract

We consider a scheduling problem on two identical parallel machines, in which the jobs are moved between the machines by an uncapacitated transporter. In the processing preemption is allowed. The objective is to minimize the time by which all completed jobs are collected together on board the transporter. We identify the structural patterns of an optimal schedule and design an algorithm that either solves the problem to optimality or in the worst case behaves as a fully polynomial-time approximation scheme.

Suggested Citation

  • Hans Kellerer & Alan J. Soper & Vitaly A. Strusevich, 2013. "Preemptive scheduling on two identical parallel machines with a single transporter," Journal of Combinatorial Optimization, Springer, vol. 25(2), pages 279-307, February.
    • Handle: RePEc:spr:jcomop:v:25:y:2013:i:2:d:10.1007_s10878-012-9511-x
    DOI: 10.1007/s10878-012-9511-x
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    References listed on IDEAS

    as
    1. Irina N. Lushchakova & Alan J. Soper & Vitaly A. Strusevich, 2009. "Transporting jobs through a two‐machine open shop," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(1), pages 1-18, February.
    2. Peter Brucker & Sigrid Knust & T.C. Cheng & Natalia Shakhlevich, 2004. "Complexity Results for Flow-Shop and Open-Shop Scheduling Problems with Transportation Delays," Annals of Operations Research, Springer, vol. 129(1), pages 81-106, July.
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