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A faster fully polynomial approximation scheme for the single-machine total tardiness problem

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  • Koulamas, Christos

Abstract

Lawler [E.L. Lawler, A fully polynomial approximation scheme for the total tardiness problem, Operations Research Letters 1 (1982) 207-208] proposed a fully polynomial approximation scheme for the single-machine total tardiness problem which runs in time (where n is the number of jobs and [epsilon] is the desired level of approximation). A faster fully polynomial approximation scheme running in time is presented in this note by applying an alternative rounding scheme in conjunction with implementing Kovalyov's [M.Y. Kovalyov, Improving the complexities of approximation algorithms for optimization problems, Operations Research Letters 17 (1995) 85-87] bound improvement procedure.

Suggested Citation

  • Koulamas, Christos, 2009. "A faster fully polynomial approximation scheme for the single-machine total tardiness problem," European Journal of Operational Research, Elsevier, vol. 193(2), pages 637-638, March.
    • Handle: RePEc:eee:ejores:v:193:y:2009:i:2:p:637-638
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    References listed on IDEAS

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    1. Szwarc, Wlodzimierz, 2007. "Some remarks on the decomposition properties of the single machine total tardiness problem," European Journal of Operational Research, Elsevier, vol. 177(1), pages 623-625, February.
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    Cited by:

    1. Koulamas, Christos, 2010. "The single-machine total tardiness scheduling problem: Review and extensions," European Journal of Operational Research, Elsevier, vol. 202(1), pages 1-7, April.
    2. Xu, Zhou, 2012. "A strongly polynomial FPTAS for the symmetric quadratic knapsack problem," European Journal of Operational Research, Elsevier, vol. 218(2), pages 377-381.

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    1. Koulamas, Christos, 2010. "The single-machine total tardiness scheduling problem: Review and extensions," European Journal of Operational Research, Elsevier, vol. 202(1), pages 1-7, April.

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