Complexity results for flow-shop and open-shop scheduling problems with transportation delays

Peter Brucker, Sigrid Knust, Edwin Tai Chiu Cheng, Natalia V. Shakhlevich

Research output: Journal article publicationJournal articleAcademic researchpeer-review

38 Citations (Scopus)

Abstract

We consider shop problems with transportation delays where not only the jobs on the machines have to be scheduled, but also transportation of the jobs between the machines has to be taken into account. Jobs consisting of a given number of operations have to be processed on machines in such a way that each machine processes at most one operation at a time and a job is not processed by more than one machine simultaneously. Transportation delays occur if a job changes from one machine to another. The objective is to find a feasible schedule which minimizes some objective function. A survey of known complexity results for flow-shop and open-shop environments is given and some new complexity results are derived.
Original languageEnglish
Pages (from-to)81-106
Number of pages26
JournalAnnals of Operations Research
Volume129
Issue number1-4
DOIs
Publication statusPublished - 1 Jan 2004

Keywords

  • Complexity results
  • Scheduling
  • Shop problems
  • Time-lags
  • Transportation delays

ASJC Scopus subject areas

  • Decision Sciences(all)
  • Management Science and Operations Research

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