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A two-stage traveling salesman procedure for the single machine sequence-dependent scheduling problem

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  • Ozgur, C. O.
  • Brown, J. R.

Abstract

A scheduling method for a single machine scheduling problem with sequence dependent setup times is presented where similar products produced on the machine can be partitioned into families. A two-stage traveling salesman heuristic procedure is developed. In the first stage an n x n symmetric setup time matrix is generated for n products and the products are classified into families (groups) using either a hierarchical cluster analysis procedure or the users internal groupings. A Traveling Salesman Problem (TSP) is then solved to obtain an efficient sequence for each family. In the second stage, a special purpose traveling salesman heuristic is developed to combine the already sequenced families in an efficient way. The results of the computational study show that the Two-Stage Traveling Salesman procedure is approximately two to four times faster than the well known TSP heuristic by Lin and Kernighan, while the solution quality is comparable to Lin and Kernighan's heuristic. The paper also illustrates an industrial application of the procedure for an automated cable assembly machine.

Suggested Citation

  • Ozgur, C. O. & Brown, J. R., 1995. "A two-stage traveling salesman procedure for the single machine sequence-dependent scheduling problem," Omega, Elsevier, vol. 23(2), pages 205-219, April.
    • Handle: RePEc:eee:jomega:v:23:y:1995:i:2:p:205-219
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    References listed on IDEAS

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    1. S. Lin & B. W. Kernighan, 1973. "An Effective Heuristic Algorithm for the Traveling-Salesman Problem," Operations Research, INFORMS, vol. 21(2), pages 498-516, April.
    2. G. A. Croes, 1958. "A Method for Solving Traveling-Salesman Problems," Operations Research, INFORMS, vol. 6(6), pages 791-812, December.
    3. Robert L. Karg & Gerald L. Thompson, 1964. "A Heuristic Approach to Solving Travelling Salesman Problems," Management Science, INFORMS, vol. 10(2), pages 225-248, January.
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    Cited by:

    1. Hegde, GG & Kalathur, S & Tadikamalla, PR & Maurer, J & Abraham, KP, 1998. "Production Scheduling on Parallel Machines: a Case Study," Omega, Elsevier, vol. 26(1), pages 63-73, February.
    2. Hanen Akrout & Bassem Jarboui & Patrick Siarry & Abdelwaheb Rebaï, 2012. "A GRASP based on DE to solve single machine scheduling problem with SDST," Computational Optimization and Applications, Springer, vol. 51(1), pages 411-435, January.
    3. Steven Moss & Cheryl Dale & Glenn Brame, 2000. "Sequence-Dependent Scheduling at Baxter International," Interfaces, INFORMS, vol. 30(2), pages 70-80, April.
    4. Allahverdi, Ali & Gupta, Jatinder N. D. & Aldowaisan, Tariq, 1999. "A review of scheduling research involving setup considerations," Omega, Elsevier, vol. 27(2), pages 219-239, April.

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