Journal of Combinatorial Optimization

, Volume 25, Issue 2, pp 279–307 | Cite as

Preemptive scheduling on two identical parallel machines with a single transporter

  • Hans Kellerer
  • Alan J. Soper
  • Vitaly A. Strusevich
Article

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.

Keywords

Scheduling with transportation Parallel machines Approximation scheme 

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Hans Kellerer
    • 1
  • Alan J. Soper
    • 2
  • Vitaly A. Strusevich
    • 2
  1. 1.Institut für Statistik und Operations ResearchUniversität GrazGrazAustria
  2. 2.School of Computing and Mathematical Sciences, Old Royal Naval CollegeUniversity of GreenwichLondonUK

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