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A dynamic programming algorithm for the single-machine scheduling problem with release dates and deteriorating processing times

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Abstract

We consider a scheduling problem in which the processing time of each job deteriorates, i.e. it increases as time passes after the release date of the job. We present a dynamic programming algorithm coupled with upper bounding and lower bounding techniques to compute exact solutions. We report on problem instances of different size and we analyze the dependence between the ranges to which the data belong and the computing time.

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References

  • Bosio A, Righini G (2006) A dynamic programming algorithm for the single-machine scheduling problem with deteriorating processing times. In: Fifth Cologne-Twente workshop on graphs and combinatorial optimization, Lambrecht. Electronic notes in discrete mathematics, vol 25, pp 139–142

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Authors and Affiliations

  1. Dipartimento di Tecnologie dell’Informazione, Università degli Studi di Milano, via Bramante 65, 26013, Crema, Italy

    Alberto Bosio & Giovanni Righini

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  1. Alberto Bosio
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  2. Giovanni Righini
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Correspondence to Giovanni Righini.

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Bosio, A., Righini, G. A dynamic programming algorithm for the single-machine scheduling problem with release dates and deteriorating processing times. Math Meth Oper Res 69, 271–280 (2009). https://doi.org/10.1007/s00186-008-0258-1

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  • DOI: https://doi.org/10.1007/s00186-008-0258-1

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