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Some results on an assignment problem variant

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  • Pritibhushan Sinha

Abstract

We consider a model of an assignment problem, in which an operator can do one job, multiple jobs, or no job at all. There is a job changeover cost, for any extra assignment in excess of one. The changeover costs depend only on the operator, but can be negative. We give a nonlinear integer programming formulation of the problem. We show that, the problem is NP-hard.

Suggested Citation

  • Pritibhushan Sinha, 2021. "Some results on an assignment problem variant," OPSEARCH, Springer;Operational Research Society of India, vol. 58(1), pages 144-147, March.
    • Handle: RePEc:spr:opsear:v:58:y:2021:i:1:d:10.1007_s12597-020-00472-7
    DOI: 10.1007/s12597-020-00472-7
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    References listed on IDEAS

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    1. E. C. Keachie & Robert J. Fontana, 1966. "Effects of Learning on Optimal Lot Size," Management Science, INFORMS, vol. 13(2), pages 102-108, October.
    2. Pritibhushan Sinha, 2009. "Assignment problems with changeover cost," Annals of Operations Research, Springer, vol. 172(1), pages 447-457, November.
    3. Pentico, David W., 2007. "Assignment problems: A golden anniversary survey," European Journal of Operational Research, Elsevier, vol. 176(2), pages 774-793, January.
    4. G Mosheiov, 2001. "Parallel machine scheduling with a learning effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(10), pages 1165-1169, October.
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