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Routing Two-Machine Flowshop Problems on Networks with Special Structure

Author

Listed:
  • Igor Averbakh

    (Department of Mathematics, Western Washington University, Bellingham, Washington 98225)

  • Oded Berman

    (Faculty of Management, University of Toronto, Toronto, Ontario M5S 1V4, Canada)

Abstract

We consider a version of the routing two-machine flowshop problem, where n jobs located at different nodes of a transportation network must be executed by two machines traveling between the jobs. Each job must be processed by both machines in the order, machine 1 first, machine 2 second. The goal is to minimize the makespan given that the total distance traveled must be as small as possible. Properties of the problem are discussed, and algorithms with complexity O ( n log n ) are developed for the problem on trees and cactuses.

Suggested Citation

  • Igor Averbakh & Oded Berman, 1996. "Routing Two-Machine Flowshop Problems on Networks with Special Structure," Transportation Science, INFORMS, vol. 30(4), pages 303-314, November.
    • Handle: RePEc:inm:ortrsc:v:30:y:1996:i:4:p:303-314
    DOI: 10.1287/trsc.30.4.303
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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. 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.
    3. 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.
    4. Hosseini, Amir & Otto, Alena & Pesch, Erwin, 2024. "Scheduling in manufacturing with transportation: Classification and solution techniques," European Journal of Operational Research, Elsevier, vol. 315(3), pages 821-843.

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