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On single machine scheduling with resource constraint

Author

Listed:
  • Lidong Wu

    (University of Texas at Dallas)

  • Cong-Dian Cheng

    (Shenyang Normal University)

Abstract

The single machine scheduling with resource constraint is a nonlinear combinatorial optimization problem in cloud computing applications. Given a set of jobs and certain resource, the problem is to find a permutation of jobs and a distribution of resource to optimize certain objective function. The processing time of each job is a nonlinear function with respect to the resource assigned to it. In this paper, we propose a naive algorithm and study a subproblem in the algorithm that suppose the permutation of jobs is also given, how to find a resource distribution to minimize the total weighted flow time. We found a polynomial-time optimal solution for a special case and an approximation solution in general case.

Suggested Citation

  • Lidong Wu & Cong-Dian Cheng, 2016. "On single machine scheduling with resource constraint," Journal of Combinatorial Optimization, Springer, vol. 31(2), pages 491-505, February.
    • Handle: RePEc:spr:jcomop:v:31:y:2016:i:2:d:10.1007_s10878-014-9721-5
    DOI: 10.1007/s10878-014-9721-5
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    References listed on IDEAS

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    1. Wayne E. Smith, 1956. "Various optimizers for single‐stage production," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 3(1‐2), pages 59-66, March.
    2. Gafarov, Evgeny R. & Lazarev, Alexander A. & Werner, Frank, 2011. "Single machine scheduling problems with financial resource constraints: Some complexity results and properties," Mathematical Social Sciences, Elsevier, vol. 62(1), pages 7-13, July.
    3. Janiak, Adam, 1991. "Single machine scheduling problem with a common deadline and resource dependent release dates," European Journal of Operational Research, Elsevier, vol. 53(3), pages 317-325, August.
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    Cited by:

    1. Bruno de Athayde Prata & Levi Ribeiro Abreu & José Ytalo Ferreira Lima, 2021. "Heuristic methods for the single-machine scheduling problem with periodical resource constraints," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(2), pages 524-546, July.

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