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The Two-Machine Maximum Flow Time Problem with Series-Parallel Precedence Constraints: An Algorithm and Extensions

Author

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  • Clyde L. Monma

    (Cornell University, Ithaca, New York)

Abstract

This note contains an 0( n log n ) time-bounded implementation and extentions for a procedure developed by Sidney for the two-machine maximum flow time problem with series-parallel precedence constraints.

Suggested Citation

  • Clyde L. Monma, 1979. "The Two-Machine Maximum Flow Time Problem with Series-Parallel Precedence Constraints: An Algorithm and Extensions," Operations Research, INFORMS, vol. 27(4), pages 792-798, August.
    • Handle: RePEc:inm:oropre:v:27:y:1979:i:4:p:792-798
    DOI: 10.1287/opre.27.4.792
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    Cited by:

    1. Guinet, Alain & Legrand, Marie, 1998. "Reduction of job-shop problems to flow-shop problems with precedence constraints," European Journal of Operational Research, Elsevier, vol. 109(1), pages 96-110, August.
    2. A.A. Gladky & Y.M. Shafransky & V.A. Strusevich, 2004. "Flow Shop Scheduling Problems Under Machine–Dependent Precedence Constraints," Journal of Combinatorial Optimization, Springer, vol. 8(1), pages 13-28, March.
    3. Chen, Feng & Lee, Chung-Yee, 2009. "Minimizing the makespan in a two-machine cross-docking flow shop problem," European Journal of Operational Research, Elsevier, vol. 193(1), pages 59-72, February.
    4. Hirofumi Matsuo, 1990. "Cyclic sequencing problems in the two‐machine permutation flow shop: Complexity, worst‐case, and average‐case analysis," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(5), pages 679-694, October.

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