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A Simple Heuristic for m-Machine Flow-Shop and its Applications in Routing-Scheduling Problems

Author

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  • Igor Averbakh

    (Western Washington University, Bellingham, Washington)

  • Oded Berman

    (University of Toronto, Toronto, Ontario, Canada)

Abstract

We consider the routing-scheduling version of the flow-shop problem, where n jobs located at different nodes of a transportation network must be executed by m machines (servers) travelling between the jobs. The objective is to minimize the makespan. For this problem, we present a simple heuristic and analyze its worst-case performance.

Suggested Citation

  • Igor Averbakh & Oded Berman, 1999. "A Simple Heuristic for m-Machine Flow-Shop and its Applications in Routing-Scheduling Problems," Operations Research, INFORMS, vol. 47(1), pages 165-170, February.
    • Handle: RePEc:inm:oropre:v:47:y:1999:i:1:p:165-170
    DOI: 10.1287/opre.47.1.165
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    References listed on IDEAS

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    1. Teofilo Gonzalez & Sartaj Sahni, 1978. "Flowshop and Jobshop Schedules: Complexity and Approximation," Operations Research, INFORMS, vol. 26(1), pages 36-52, February.
    2. M. R. Garey & D. S. Johnson & Ravi Sethi, 1976. "The Complexity of Flowshop and Jobshop Scheduling," Mathematics of Operations Research, INFORMS, vol. 1(2), pages 117-129, May.
    3. Matteo Fischetti & Gilbert Laporte & Silvano Martello, 1993. "The Delivery Man Problem and Cumulative Matroids," Operations Research, INFORMS, vol. 41(6), pages 1055-1064, December.
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    Cited by:

    1. Averbakh, Igor & Berman, Oded & Chernykh, Ilya, 2005. "A -approximation algorithm for the two-machine routing open-shop problem on a two-node network," European Journal of Operational Research, Elsevier, vol. 166(1), pages 3-24, October.
    2. J M Framinan & J N D Gupta & R Leisten, 2004. "A review and classification of heuristics for permutation flow-shop scheduling with makespan objective," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(12), pages 1243-1255, December.
    3. Yu, Wei & Liu, Zhaohui & Wang, Leiyang & Fan, Tijun, 2011. "Routing open shop and flow shop scheduling problems," European Journal of Operational Research, Elsevier, vol. 213(1), pages 24-36, August.
    4. Zelda B. Zabinsky & Pattamon Dulyakupt & Shabnam Zangeneh-Khamooshi & Cao Xiao & Pengbo Zhang & Seksan Kiatsupaibul & Joseph A. Heim, 2020. "Optimal collection of medical specimens and delivery to central laboratory," Annals of Operations Research, Springer, vol. 287(1), pages 537-564, April.
    5. Averbakh, Igor & Berman, Oded & Chernykh, Ilya, 2006. "The routing open-shop problem on a network: Complexity and approximation," European Journal of Operational Research, Elsevier, vol. 173(2), pages 531-539, September.
    6. Gupta, Jatinder N.D. & Koulamas, Christos & Kyparisis, George J., 2006. "Performance guarantees for flowshop heuristics to minimize makespan," European Journal of Operational Research, Elsevier, vol. 169(3), pages 865-872, March.
    7. Nagy, Gabor & Salhi, Said, 2007. "Location-routing: Issues, models and methods," European Journal of Operational Research, Elsevier, vol. 177(2), pages 649-672, March.
    8. Antonina P. Khramova & Ilya Chernykh, 2021. "A new algorithm for the two-machine open shop and the polynomial solvability of a scheduling problem with routing," Journal of Scheduling, Springer, vol. 24(4), pages 405-412, August.

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