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Journal of Combinatorial Optimization

, Volume 31, Issue 3, pp 1316–1334 | Cite as

An improved two-machine flowshop scheduling with intermediate transportation

  • Jianming Dong
  • Xueshi Wang
  • Jueliang Hu
  • Guohui LinEmail author
Article

Abstract

A two-machine flowshop scheduling problem with intermediate transportation is investigated in this paper, where jobs of varying sizes finished on the first machine need to be transported to the other machine for further processing. One service vehicle of a limited capacity is used for transportation between the two machines. The problem objective is to minimize the makespan, that is the finishing time of the last job on the second machine. Using a better bin-packing algorithm and balancing between two schedules, we present an \(\frac{11}{5}\)-approximation algorithm for the problem, which improves the previously best \(\frac{7}{3}\)-approximation algorithm by Gong and Tang.

Keywords

Flowshop scheduling Bin-packing Approximation algorithm Worst-case performance analysis 

Notes

Acknowledgments

Dong is supported by the Zhejiang Provincial Natural Science Foundation Grants No. LY13A010015 and the Science Foundation of Zhejiang Sci-Tech University (ZSTU) Grants No. 13062171-Y; Hu is supported by National Natural Science Foundation of China Grants No. 11271324 and 11471286; Lin is supported by NSERC and the Science Foundation of Zhejiang Sci-Tech University (ZSTU) Grants No. 14062170-Y. Lin’s work was mostly done during his sabbatical leave at the ZSTU. The authors are grateful to the anonymous reviewers for their insightful comments that improve the presentation greatly.

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Jianming Dong
    • 1
  • Xueshi Wang
    • 1
  • Jueliang Hu
    • 1
  • Guohui Lin
    • 1
    • 2
    Email author
  1. 1.Department of MathematicsZhejiang Sci-Tech UniversityHangzhouChina
  2. 2.Department of Computing ScienceUniversity of AlbertaEdmontonCanada

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