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A note on the proportionate flow shop with a bottleneck machine

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  • Koulamas, Christos
  • Kyparisis, George J.
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    Abstract

    Choi, B.-C., Yoon, S.-H., Chung, S.-J., 2007. Minimizing maximum completion time in a proportionate flow shop with one machine of different speed. European Journal of Operational Research 176, 964-974 consider the proportionate flow shop with a slow bottleneck machine and propose the SLDR heuristic for it. Choi et al. (2007) derive a data-dependent worst-case ratio bound for the SLDR heuristic which is then bounded by two. In this note, we show that the tight worst-case ratio bound of the SLDR heuristic is 3/2.

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    File URL: http://www.sciencedirect.com/science/article/B6VCT-4RR1NRP-1/2/1ae91c030a10e01548330744a8ef248c
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    Bibliographic Info

    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 193 (2009)
    Issue (Month): 2 (March)
    Pages: 644-645

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    Handle: RePEc:eee:ejores:v:193:y:2009:i:2:p:644-645

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    Web page: http://www.elsevier.com/locate/eor

    Related research

    Keywords: Flow shop sequencing Proportionate flow shop Makespan Approximation algorithms;

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    1. M. L. Smith & S. S. Panwalkar & R. A. Dudek, 1975. "Flowshop Sequencing Problem with Ordered Processing Time Matrices," Management Science, INFORMS, vol. 21(5), pages 544-549, January.
    2. Choi, Byung-Cheon & Yoon, Suk-Hun & Chung, Sung-Jin, 2007. "Minimizing maximum completion time in a proportionate flow shop with one machine of different speed," European Journal of Operational Research, Elsevier, vol. 176(2), pages 964-974, January.
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