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Two‐machine flow shop no‐wait scheduling with a nonavailability interval

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  • Mikhail A. Kubzin
  • Vitaly A. Strusevich

Abstract

We study a two‐machine flow shop scheduling problem with no‐wait in process, in which one of the machines is not available during a specified time interval. We consider three scenarios of handing the operation affected by the nonavailability interval. Its processing may (i) start from scratch after the interval, or (ii) be resumed from the point of interruption, or (iii) be partially restarted after the interval. The objective is to minimize the makespan. We present an approximation algorithm that for all these scenarios delivers a worst‐case ratio of 3/2. For the second scenario, we offer a 4/3‐approximation algorithm. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004

Suggested Citation

  • Mikhail A. Kubzin & Vitaly A. Strusevich, 2004. "Two‐machine flow shop no‐wait scheduling with a nonavailability interval," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(4), pages 613-631, June.
    • Handle: RePEc:wly:navres:v:51:y:2004:i:4:p:613-631
    DOI: 10.1002/nav.10118
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    References listed on IDEAS

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    1. Schmidt, Gunter, 2000. "Scheduling with limited machine availability," European Journal of Operational Research, Elsevier, vol. 121(1), pages 1-15, February.
    2. M-L Espinouse & P Formanowicz & B Penz, 2001. "Complexity results and approximation algorithms for the two machine no-wait flow-shop with limited machine availability," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(1), pages 116-121, January.
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    Cited by:

    1. Abdennour Azerine & Mourad Boudhar & Djamal Rebaine, 2022. "A two-machine no-wait flow shop problem with two competing agents," Journal of Combinatorial Optimization, Springer, vol. 43(1), pages 168-199, January.

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