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Bi-objective scheduling on two dedicated processors

Author

Listed:
  • Adel Kacem
  • Abdelaziz Dammak

Abstract

In this work, we study a bi-objective scheduling problem on two dedicated processors. The aim is to minimise the makespan and the total tardiness. This NPhard problem in the strong sense requires the use of well-adapted methods. Our contribution includes lower bounds for each studied criterion and a genetic algorithm adapted for the multi-criteria context. The lower bounds allows us to evaluate the quality of feasible solutions and the genetic algorithm incorporates the optimisation part. We implemented our approach by considering the aggregative, NSGA-II and the Pareto scenarios on a large set of instances. The obtained results show the effectiveness of the proposed algorithms. [Received: 27 August 2018; Revised: 25 January 2019; Accepted: 12 March 2019]

Suggested Citation

  • Adel Kacem & Abdelaziz Dammak, 2019. "Bi-objective scheduling on two dedicated processors," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 13(5), pages 681-700.
    • Handle: RePEc:ids:eujine:v:13:y:2019:i:5:p:681-700
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    Cited by:

    1. Adel Kacem & Abdelaziz Dammak, 2021. "Multi-objective scheduling on two dedicated processors," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(3), pages 694-721, October.
    2. Fatma-Zohra Baatout & Mhand Hifi, 2023. "A two-phase hybrid evolutionary algorithm for solving the bi-objective scheduling multiprocessor tasks on two dedicated processors," Journal of Heuristics, Springer, vol. 29(2), pages 229-267, June.

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