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A linear programming embedded probabilistic tabu search for the unequal-area facility layout problem with flexible bays

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  • Kulturel-Konak, Sadan

Abstract

In this paper, a probabilistic tabu search (PTS) approach is proposed to solve the facility layout problem (FLP) with unequal area departments. For the representation, the flexible bay structure (FBS), which is a very common layout in many manufacturing and retail facilities, is used. In this paper, the FBS is relaxed by allowing empty spaces within bays, which results in more flexibility in assigning departments into bays. In addition, departments are allowed to be located more freely within the bays, and they can have different side lengths as long as they are within the bay boundaries and do not overlap. To achieve these goals, department shapes and their locations within bays are determined LP. A PTS approach is developed to search an overall layout structure that describes relative positions of departments for the relaxed-FBS (RFBS). The proposed LP embedded PTS–RFBS approach is used to solve thirteen FLP instances from the literature with varying sizes. The comparative results show that this approach is very promising and able to find new best solutions for several test problems.

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  • Kulturel-Konak, Sadan, 2012. "A linear programming embedded probabilistic tabu search for the unequal-area facility layout problem with flexible bays," European Journal of Operational Research, Elsevier, vol. 223(3), pages 614-625.
    • Handle: RePEc:eee:ejores:v:223:y:2012:i:3:p:614-625
    DOI: 10.1016/j.ejor.2012.07.019
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    References listed on IDEAS

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    1. Bozer, Yavuz A. & Wang, Chi-Tai, 2012. "A graph-pair representation and MIP-model-based heuristic for the unequal-area facility layout problem," European Journal of Operational Research, Elsevier, vol. 218(2), pages 382-391.
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    Cited by:

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    2. Calleja, Gema & Corominas, Albert & García-Villoria, Alberto & Pastor, Rafael, 2016. "Hybrid metaheuristics for the Accessibility Windows Assembly Line Balancing Problem Level 2 (AWALBP-L2)," European Journal of Operational Research, Elsevier, vol. 250(3), pages 760-772.
    3. Li, Jinhua & Smith, Alice E., 2018. "Block layout for attraction-based enterprises," European Journal of Operational Research, Elsevier, vol. 266(3), pages 1100-1112.
    4. Asef-Vaziri, Ardavan & Jahandideh, Hossein & Modarres, Mohammad, 2017. "Loop-based facility layout design under flexible bay structures," International Journal of Production Economics, Elsevier, vol. 193(C), pages 713-725.
    5. Mariem Besbes & Marc Zolghadri & Roberta Costa Affonso & Faouzi Masmoudi & Mohamed Haddar, 2021. "3D facility layout problem," Journal of Intelligent Manufacturing, Springer, vol. 32(4), pages 1065-1090, April.

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