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


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  • Koulamas, Christos
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    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.

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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 193 (2009)
    Issue (Month): 2 (March)
    Pages: 637-638

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    Handle: RePEc:eee:ejores:v:193:y:2009:i:2:p:637-638

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    Keywords: Single-machine sequencing Total tardiness Fully polynomial approximation;


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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. 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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