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Scheduling of a single machine to minimize total weighted completion time subject to release dates

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  • Lucio Bianco
  • Salvatore Ricciardelli

Abstract

In this paper the n/1/rj Σj wj Cj problem under the assumptions of nonpreemptive sequencing and sequence independent processing times is investigated. After pointing out the fundamental properties, some dominance sufficient conditions among sequences are obtained and a branch and bound algorithm is proposed. Computational results are reported and discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navlog:v:29:y:1982:i:1:p:151-167
    DOI: 10.1002/nav.3800290114
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    Cited by:

    1. 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.
    2. Reza H. Ahmadi & Uttarayan Bagchi, 1990. "Lower bounds for single‐machine scheduling problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(6), pages 967-979, December.
    3. 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.
    4. 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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