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Theoretical Analysis of Workload Imbalance Minimization Problem on Identical Parallel Machines

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Intelligent Information and Database Systems (ACIIDS 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9622))

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Abstract

This paper considers the problem of assigning N non-preemptive jobs to M identical parallel machines or processors as equally as possible. This problem is known as workload imbalance minimization problem. First, we establish that this problem can be formulated as the difference between the maximum and minimum workloads. In other words, it is defined as the minimization of the difference between the workload of the bottleneck machine and the workload of the fastest machine.

Then, we present comparative analysis between this criterion and other criteria proposed in the literature such as: The average absolute deviation from the mean value of the total workload and Normalized Sum of Square for Workload Deviations (NSSWD) criteria proposed in the literature.

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Authors and Affiliations

  1. Institut Charles Delaunay, Laboratoire d’Optimisation des Systèmes Industriels (UMR-CNRS 6281), Université de Technologie de Troyes, 12 rue Marie Curie, CS 42060, 10004, Troyes, France

    Yassine Ouazene, Farouk Yalaoui & Alice Yalaoui

  2. Opta-Lp, 2 Rue Gustave Eiffel, 10430, Rosières-prés-Troyes, France

    Hicham Chehade

Authors
  1. Yassine Ouazene
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  2. Farouk Yalaoui
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  3. Alice Yalaoui
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  4. Hicham Chehade
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Corresponding author

Correspondence to Yassine Ouazene .

Editor information

Editors and Affiliations

  1. Wrocław University of Technology, Wrocław, Poland

    Ngoc Thanh Nguyen

  2. Wrocław University of Technology, Wrocław, Poland

    Bogdan Trawiński

  3. Iwate Prefectural University, Takizawa, Japan

    Hamido Fujita

  4. National University of Kaohsiung, Kaohsiung, Taiwan

    Tzung-Pei Hong

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Ouazene, Y., Yalaoui, F., Yalaoui, A., Chehade, H. (2016). Theoretical Analysis of Workload Imbalance Minimization Problem on Identical Parallel Machines. In: Nguyen, N.T., Trawiński, B., Fujita, H., Hong, TP. (eds) Intelligent Information and Database Systems. ACIIDS 2016. Lecture Notes in Computer Science(), vol 9622. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-49390-8_29

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  • DOI: https://doi.org/10.1007/978-3-662-49390-8_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-49389-2

  • Online ISBN: 978-3-662-49390-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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