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A note on the single‐machine scheduling problem with minimum weighted completion time and maximum allowable tardiness

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  • Suresh Chand
  • Hans Schneeberger

Abstract

This paper analyzes the Smith‐heuristic for the single‐machine scheduling problem where the objective is to minimize the total weighted completion time subject to the constraint that the tradiness for any job does not exceed a prespecified maximum allowable tardiness. We identify several cases of this problem for which the Smith‐heuristic is guaranteed to lead to optimal solutions. We also provide a worst‐case analysis of the Smith‐heuristic; the analysis shows that the fractional increase in the objective function value for the Smith‐heuristic from the optimal solution is unbounded in the worst case.

Suggested Citation

  • Suresh Chand & Hans Schneeberger, 1986. "A note on the single‐machine scheduling problem with minimum weighted completion time and maximum allowable tardiness," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(3), pages 551-557, August.
    • Handle: RePEc:wly:navlog:v:33:y:1986:i:3:p:551-557
    DOI: 10.1002/nav.3800330319
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    Cited by:

    1. Vincent T’kindt & Karima Bouibede-Hocine & Carl Esswein, 2007. "Counting and enumeration complexity with application to multicriteria scheduling," Annals of Operations Research, Springer, vol. 153(1), pages 215-234, September.
    2. Subhash C. Sarin & Divya Prakash, 2004. "Equal Processing Time Bicriteria Scheduling on Parallel Machines," Journal of Combinatorial Optimization, Springer, vol. 8(3), pages 227-240, September.

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