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Optimal Results and Numerical Simulations for Flow Shop Scheduling Problems

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  • Tao Ren
  • Yuandong Diao
  • Xiaochuan Luo

Abstract

This paper considers the m -machine flow shop problem with two objectives: makespan with release dates and total quadratic completion time, respectively. For F ?? | ?? ?? | C ?? ?? ?? , we prove the asymptotic optimality for any dense scheduling when the problem scale is large enough. For F ?? ? S C 2 ?? , improvement strategy with local search is presented to promote the performance of the classical SPT heuristic. At the end of the paper, simulations show the effectiveness of the improvement strategy.

Suggested Citation

  • Tao Ren & Yuandong Diao & Xiaochuan Luo, 2012. "Optimal Results and Numerical Simulations for Flow Shop Scheduling Problems," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-9, March.
    • Handle: RePEc:hin:jnljam:395947
    DOI: 10.1155/2012/395947
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