Four decades of research on the open-shop scheduling problem to minimize the makespan

Mohammad Mahdi Ahmadian, Mostafa Khatami, Amir Salehipour, T. C.E. Cheng

Research output: Journal article publicationReview articleAcademic researchpeer-review

39 Citations (Scopus)


One of the basic scheduling problems, the open-shop scheduling problem has a broad range of applications across different sectors. The problem concerns scheduling a set of jobs, each of which has a set of operations, on a set of different machines. Each machine can process at most one operation at a time and the job processing order on the machines is immaterial, i.e., it has no implication for the scheduling outcome. The aim is to determine a schedule, i.e., the completion times of the operations processed on the machines, such that a performance criterion is optimized. While research on the problem dates back to the 1970s, there have been reviving interests in the computational complexity of variants of the problem and solution methodologies in the past few years. Aiming to provide a complete road map for future research on the open-shop scheduling problem, we present an up-to-date and comprehensive review of studies on the problem that focuses on minimizing the makespan, and discuss potential research opportunities.

Original languageEnglish
Pages (from-to)399-426
Number of pages28
JournalEuropean Journal of Operational Research
Issue number2
Publication statusPublished - 1 Dec 2021


  • Makespan
  • Open-shop
  • Review
  • Scheduling

ASJC Scopus subject areas

  • Computer Science(all)
  • Modelling and Simulation
  • Management Science and Operations Research
  • Information Systems and Management


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