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Procedures for the Time and Space constrained Assembly Line Balancing Problem

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  • Bautista, Joaquín
  • Pereira, Jordi

Abstract

The Time and Space constrained Assembly Line Balancing Problem (TSALBP) is a variant of the classical Simple Assembly Line Balancing Problem that additionally accounts for the space requirements of machinery and assembled parts. The present work proposes an adaptation of the Bounded Dynamic Programming (BDP) method to solve the TSALBP variant with fixed cycle time and area availability. Additionally, different lower bounds for the simple case are extended to support the BDP method as well as to assess the quality of the obtained solutions. Our results indicate that the proposed bounds and solution procedures outperform any other previous approach found in the literature.

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  • Bautista, Joaquín & Pereira, Jordi, 2011. "Procedures for the Time and Space constrained Assembly Line Balancing Problem," European Journal of Operational Research, Elsevier, vol. 212(3), pages 473-481, August.
    • Handle: RePEc:eee:ejores:v:212:y:2011:i:3:p:473-481
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    1. Pereira, Jordi, 2016. "Procedures for the bin packing problem with precedence constraints," European Journal of Operational Research, Elsevier, vol. 250(3), pages 794-806.
    2. Battaïa, Olga & Dolgui, Alexandre, 2013. "A taxonomy of line balancing problems and their solutionapproaches," International Journal of Production Economics, Elsevier, vol. 142(2), pages 259-277.
    3. Pape, Tom, 2015. "Heuristics and lower bounds for the simple assembly line balancing problem type 1: Overview, computational tests and improvements," European Journal of Operational Research, Elsevier, vol. 240(1), pages 32-42.
    4. D. E. Ighravwe & S. A. Oke & K. A. Adebiyi, 2017. "Preventive maintenance task balancing with spare parts optimisation via big-bang big-crunch algorithm," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 811-822, November.
    5. García-Villoria, Alberto & Corominas, Albert & Nadal, Adrià & Pastor, Rafael, 2018. "Solving the accessibility windows assembly line problem level 1 and variant 1 (AWALBP-L1-1) with precedence constraints," European Journal of Operational Research, Elsevier, vol. 271(3), pages 882-895.
    6. Sternatz, Johannes, 2014. "Enhanced multi-Hoffmann heuristic for efficiently solving real-world assembly line balancing problems in automotive industry," European Journal of Operational Research, Elsevier, vol. 235(3), pages 740-754.
    7. Eduardo Álvarez-Miranda & Jordi Pereira & Harold Torrez-Meruvia & Mariona Vilà, 2021. "A Hybrid Genetic Algorithm for the Simple Assembly Line Balancing Problem with a Fixed Number of Workstations," Mathematics, MDPI, vol. 9(17), pages 1-19, September.

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