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On the two-stage assembly flow shop problem

Author

Listed:
  • Hatem Hadda

    (Université de Tunis El Manar, Ecole Nationale d’Ingénieurs de Tunis, OASIS)

  • Najoua Dridi

    (Université de Tunis El Manar, Ecole Nationale d’Ingénieurs de Tunis, OASIS)

  • Sonia Hajri-Gabouj

    (LISI, INSAT, Centre Urbain Nord)

Abstract

Numerous operational constraints within both industry and service sectors mandate the concurrent scheduling of tasks. This need is particularly evident in the assembly of products within manufacturing processes. This paper concentrates on minimizing makespan in the two-stage assembly flow shop problem. Our contributions include the introduction of novel dominance rules, a proposal for a heuristic method, and the development of a branch and bound algorithm. Additionally, we conduct an empirical analysis of makespan distribution for small-size instances. Through extensive experimentation, our study demonstrates the efficiency of the introduced dominance rules and the strong performance of the developed branch and bound algorithm.

Suggested Citation

  • Hatem Hadda & Najoua Dridi & Sonia Hajri-Gabouj, 2024. "On the two-stage assembly flow shop problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 32(2), pages 224-244, July.
  • Handle: RePEc:spr:topjnl:v:32:y:2024:i:2:d:10.1007_s11750-024-00664-0
    DOI: 10.1007/s11750-024-00664-0
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    References listed on IDEAS

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    6. Framinan, Jose M. & Perez-Gonzalez, Paz & Fernandez-Viagas, Victor, 2019. "Deterministic assembly scheduling problems: A review and classification of concurrent-type scheduling models and solution procedures," European Journal of Operational Research, Elsevier, vol. 273(2), pages 401-417.
    7. Hadda, Hatem & Dridi, Najoua & Hajji, Mohamed Karim, 2018. "On the optimality conditions of the two-machine flow shop problem," European Journal of Operational Research, Elsevier, vol. 266(2), pages 426-435.
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