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Single‐machine scheduling with dynamic arrivals: Decomposition results and an improved algorithm

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  • Suresh Chand
  • Rodney Traub
  • Reha Uzsoy

Abstract

This article considers the single‐machine dynamic scheduling problem where the jobs have different arrival times and the objective is to minimize the sum of completion times. This problem is known to be strongly NP‐hard. We develop decomposition results for this problem such that a large problem can be solved by combining optimal solutions for several smaller problems. The decomposition results can be used with any implicit enumeration method to develop an optimal algorithm. Our computational experiment indicates that the computational efficiency of the currently best available branch‐and‐bound algorithm can be improved with the use of our decomposition results. © 1996 John Wiley & Sons, Inc.

Suggested Citation

  • Suresh Chand & Rodney Traub & Reha Uzsoy, 1996. "Single‐machine scheduling with dynamic arrivals: Decomposition results and an improved algorithm," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(5), pages 709-719, August.
    • Handle: RePEc:wly:navres:v:43:y:1996:i:5:p:709-719
    DOI: 10.1002/(SICI)1520-6750(199608)43:53.0.CO;2-9
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    References listed on IDEAS

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    1. Potts, C. N. & Van Wassenhove, L. N., 1983. "An algorithm for single machine sequencing with deadlines to minimize total weighted completion time," European Journal of Operational Research, Elsevier, vol. 12(4), pages 379-387, April.
    2. Chengbin Chu, 1992. "A branch‐and‐bound algorithm to minimize total flow time with unequal release dates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(6), pages 859-875, October.
    3. Lucio Bianco & Salvatore Ricciardelli, 1982. "Scheduling of a single machine to minimize total weighted completion time subject to release dates," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(1), pages 151-167, March.
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    Cited by:

    1. Philippe Baptiste & Ruslan Sadykov, 2009. "On scheduling a single machine to minimize a piecewise linear objective function: A compact MIP formulation," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(6), pages 487-502, September.

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