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On the asymptotic optimality and improved strategies of SPTB heuristic for open-shop scheduling problem

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  • Danyu Bai
  • Zhihai Zhang

Abstract

This article investigates the open-shop scheduling problem with the optimal criterion of minimising the sum of quadratic completion times. For this NP-hard problem, the asymptotic optimality of the shortest processing time block (SPTB) heuristic is proven in the sense of limit. Moreover, three different improvements, namely, the job-insert scheme, tabu search and genetic algorithm, are introduced to enhance the quality of the original solution generated by the SPTB heuristic. At the end of the article, a series of numerical experiments demonstrate the convergence of the heuristic, the performance of the improvements and the effectiveness of the quadratic objective.

Suggested Citation

  • Danyu Bai & Zhihai Zhang, 2014. "On the asymptotic optimality and improved strategies of SPTB heuristic for open-shop scheduling problem," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(8), pages 1657-1667, August.
  • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1657-1667
    DOI: 10.1080/00207721.2012.748943
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