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Complexity and Approximation Results for Setup-Minimal Batch Scheduling with Deadlines on a Single Processor

  • Dominik KressEmail author
  • Maksim Barketau
  • Erwin Pesch
  • David Müller
Conference paper
Part of the Operations Research Proceedings book series (ORP)

Abstract

We address the problem of sequencing n jobs that are partitioned into F families on a single processor. A setup operation is needed at the beginning of the schedule and whenever a job of one family is succeeded by a job of another family. These setup operations are assumed to not require time but are associated with a fixed setup cost which is identical for all setup operations. Jobs must be completed no later than by a given deadline. The objective is to schedule all jobs such that the total setup cost is minimized. This objective is identical to minimizing the number of setup operations. We provide a sketch of the proof of the problem’s strong NP-hardness as well as some properties of optimal solutions and an \(O(n \log n + nF)\) algorithm that approximates the cost of an optimal schedule by a factor of F. For details, we refer to our full paper.

Keywords

Batch scheduling Setup cost Approximation algorithm 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Dominik Kress
    • 1
    Email author
  • Maksim Barketau
    • 2
  • Erwin Pesch
    • 1
    • 3
  • David Müller
    • 1
  1. 1.Management Information ScienceUniversity of SiegenSiegenGermany
  2. 2.United Institute of Informatics ProblemsNAS of BelarusMinskBelarus
  3. 3.Center for Advanced Studies in ManagementHHL LeipzigLeipzigGermany

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