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Solving the Unrelated Parallel Machine Scheduling Problem with Setup Times by Efficient Algorithms Based on Iterated Local Search

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Part of the book series: Lecture Notes in Business Information Processing ((LNBIP,volume 227))

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Abstract

The Unrelated Parallel Machine Scheduling Problem with Setup Times (UPMSPST) is a problem that belongs to the \(\mathcal {NP}\)-Hard class and it is frequently found in many practical situations, like in textile and chemical industries. The objective in UPMSPST is to schedule jobs in machines in order to achieve the maximum completion time, known as makespan. In an attempt to solve this problem, it is proposed two algorithms: the AIV and the HIVP. Both algorithms are based on Iterated Local Search (ILS) and Variable Neighborhood Descent (VND). The difference between AIV and HIVP is that the first one generates a greedy initial solution, while the second applies a partially greedy procedure to construct the initial solution and it includes the Path Relinking (PR) technique. Neighborhoods based on swaps and multiple insertions are investigated in the developed algorithms. AIV and HIVP were tested on benchmark test problems from literature and statistical analysis of the computational results showed the superiority of them, outperforming the previously best known solutions for UPMSPST.

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Acknowledgements

The authors thank the Brazilian agencies FAPEMIG and CNPq, and the Universidade Federal de Ouro Preto (UFOP) for the financial support on the development of this work.

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Authors and Affiliations

  1. Departamento de Computação, Universidade Federal de Ouro Preto, Ouro Preto, MG, 35.400-000, Brazil

    Matheus N. Haddad, Luciano P. Cota & Marcone J. F. Souza

  2. Programa de Engenharia de Sistemas e Computação, Universidade Federal Do Rio de Janeiro, Rio de Janeiro, RJ, 21941-972, Brazil

    Nelson Maculan

Authors
  1. Matheus N. Haddad
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  2. Luciano P. Cota
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  3. Marcone J. F. Souza
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  4. Nelson Maculan
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Corresponding author

Correspondence to Matheus N. Haddad .

Editor information

Editors and Affiliations

  1. INSTICC, Polytechnic Institute of Setúbal, Setúbal, Portugal

    José Cordeiro

  2. MODESTE/ESEO, Angers, France

    Slimane Hammoudi

  3. Wroclaw University of Economics, Wroclaw, Poland

    Leszek Maciaszek

  4. MODESTE/ESEO, Angers, France

    Olivier Camp

  5. INSTICC, Polytechnic Institute of Setúbal, Setúbal, Portugal

    Joaquim Filipe

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Haddad, M.N., Cota, L.P., Souza, M.J.F., Maculan, N. (2015). Solving the Unrelated Parallel Machine Scheduling Problem with Setup Times by Efficient Algorithms Based on Iterated Local Search. In: Cordeiro, J., Hammoudi, S., Maciaszek, L., Camp, O., Filipe, J. (eds) Enterprise Information Systems. ICEIS 2014. Lecture Notes in Business Information Processing, vol 227. Springer, Cham. https://doi.org/10.1007/978-3-319-22348-3_8

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  • DOI: https://doi.org/10.1007/978-3-319-22348-3_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-22347-6

  • Online ISBN: 978-3-319-22348-3

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