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Flow Shop Scheduling Using a General Approach for Differential Evolution

  • Chapter
Handbook of Optimization

Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 38))

Abstract

This chapter presents a general framework of Differential Evolution algorithm for combinatorial optimization problems. We define the differences between a given pair of solutions in the differential mutation as a set of elementary movements in the discrete search space. In this way, the search mechanism and self-adaptive behavior of the differential evolution is preserved and generalized to combinatorial problems. These ideas are then applied to n-job m-machine flow shop scheduling in order to illustrate its application in an important problem in combinatorial optimization. The method was applied to the 120 Taillard instances of the permutation flow shop scheduling problem, and compared against the results obtained by other metaheuristic algorithms in the literature. Although relying only on the differential mutation and the local search performed on the best individual, dDE ranks fairly well against more sophisticated metaheuristics. The results are promising and illustrate the applicability of the proposed approach for combinatorial optimization using differential evolution.

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Author information

Authors and Affiliations

  1. Departamento de Engenharia Elétrica, Universidade Federal de Minas Gerais, Belo Horizonte, Brazil

    Frederico Gadelha Guimarães, Rodrigo César Pedrosa Silva & Oriane Magela Neto

  2. Instituto Federal Minas Gerais, Ouro Preto, Brazil

    Ricardo Sérgio Prado

  3. Department of Computer Science, Faculty of Electrical Engineering and Computer Science, VB-Technical University of Ostrava, Czech Republic, Ostrava

    Donald David Davendra

Authors
  1. Frederico Gadelha Guimarães
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  2. Rodrigo César Pedrosa Silva
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  3. Ricardo Sérgio Prado
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  4. Oriane Magela Neto
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  5. Donald David Davendra
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Corresponding author

Correspondence to Frederico Gadelha Guimarães .

Editor information

Editors and Affiliations

  1. Technical University of Ostrava, 17. listopadu 15, Ostrava-Porub, 708 33, Czech Republic

    Ivan Zelinka

  2. , Faculty of Electrical Engineering and, Technical University of Ostrava, 17. listopadu 15, Ostrava-Poruba, 708 33, Czech Republic

    Václav Snášel

  3. Auburn, 98071, USA

    Ajith Abraham

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Guimarães, F.G., Silva, R.C.P., Prado, R.S., Neto, O.M., Davendra, D.D. (2013). Flow Shop Scheduling Using a General Approach for Differential Evolution. In: Zelinka, I., Snášel, V., Abraham, A. (eds) Handbook of Optimization. Intelligent Systems Reference Library, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30504-7_24

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  • DOI: https://doi.org/10.1007/978-3-642-30504-7_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30503-0

  • Online ISBN: 978-3-642-30504-7

  • eBook Packages: EngineeringEngineering (R0)

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