Abstract
Assembly line balancing problems (ALBP) consist of distributing the total workload for manufacturing any unit of the products to be assembled among the work stations along a manufacturing line as used in the automotive or the electronics industries. Usually, it is assumed that the production process is fixed, i.e., has been determined in a preceding planning step. However, this sequential planning approach is often suboptimal because the efficiency of the production process can not be evaluated definitely without knowing the distribution of work. Instead, both decisions should be taken simultaneously. This has led to the Alternative Subgraphs ALBP.
We give an alternative representation of the problem, formulate an improved mixed-integer program and propose a solution approach based on SALOME, an effective branch-and-bound procedure for the well-known Simple ALBP. Computational experiments indicate that the proposed procedure is successful in finding optimal solutions for small- and medium-sized problem instances and rather good heuristic solutions for large-scaled instances.
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References
Baybars, I. (1986). A survey of exact algorithms for the simple assembly line balancing problem. Management Science, 32, 909–932.
Becker, C., & Scholl, A. (2006). A survey on problems and methods in generalized assembly line balancing. European Journal of Operational Research, 168, 694–715.
Bowman, E. (1960). Assembly-line balancing by linear programming. Operations Research, 8, 385–389.
Boysen, N., Fliedner, M., & Scholl, A. (2007). A classification of assembly line balancing problems. European Journal of Operational Research, 183, 674–693.
Bukchin, J., & Tzur, M. (2000). Design of flexible assembly line to minimize equipment cost. IIE Transactions, 32, 585–598.
Capacho, L., & Pastor, R. (2005). ASALBP: The alternative subgraphs assembly line balancing problem. Working paper IOC-DT-P 2005-5, Universitat Politècnica de Catalunya.
Capacho, L., & Pastor, R. (2006). The ASALB problem with processing alternatives involving different tasks: Definition, formalization and resolution. Lecture Notes in Computer Science, 3982, 554–563.
Capacho, L., & Pastor, R. (2008). ASALBP: The alternative subgraphs assembly line balancing problem. International Journal of Production Research, 46, 3503–3516.
Capacho, L., Pastor, R., Guschinskaya, O., & Dolgui, A. (2006). Heuristic methods to solve the alternative subgraphs assembly line balancing problem. In IEEE international conference on automation science and engineering, 2006 (CASE’06), Shanghai, China, pp. 501–506.
Capacho, L., Pastor, R., Dolgui, A., & Gunshinskaya, O. (2009). An evaluation of constructive heuristic methods for solving the alternative subgraphs assembly line balancing problem. Journal of Heuristics, 15, 109–132.
Erel, E., & Sarin, S. C. (1998). A survey of the assembly line balancing procedures. Production Planning & Control, 9, 414–434.
Patterson, J. H., & Albracht, J. J. (1975). Assembly-line balancing: zero-one programming with Fibonacci search. Operations Research, 23, 166–172.
Pinto, P. A., Dannenbring, D. G., & Khumawala, B. M. (1983). Assembly line balancing with processing alternatives: An application. Management Science, 29, 817–830.
Rekiek, B., Dolgui, A., Delchambre, A., & Bratcu, A. (2002). State of art of optimization methods for assembly line. Annual Reviews in Control, 26, 163–174.
Saltzman, M. J., & Baybars, I. (1987). A two-process implicit enumeration algorithm for the simple assembly line balancing problem. European Journal of Operational Research, 32, 118–129.
Scholl, A. (1999). Balancing and sequencing of assembly lines (2nd edn). Heidelberg: Physica.
Scholl, A., & Becker, C. (2006). State-of-the-art exact and heuristic solution procedures for simple assembly line balancing. European Journal of Operational Research, 168, 666–693.
Scholl, A., & Klein, R. (1997). SALOME: A bidirectional branch and bound procedure for assembly line balancing. INFORMS Journal on Computing, 9, 319–334.
Scholl, A., & Klein, R. (1999). Balancing assembly lines effectively—a computational comparison. European Journal of Operational Research, 114, 50–58.
Scholl, A., Boysen, N., & Fliedner, M. (2008). The sequence-dependent assembly line balancing problem. Operations Research Spectrum, 30, 579–609.
Sprecher, A. (1999). A competitive branch-and-bound algorithm for the simple assembly line balancing problem. International Journal of Production Research, 37, 1787–1816.
Thangavelu, S. R., & Shetty, C. M. (1971). Assembly line balancing by 0-1 integer programming. AIIE Transactions, 3, 61–68.
White, W. W. (1961). Comments on a paper by Bowman. Operations Research, 9, 274–276.
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Scholl, A., Boysen, N. & Fliedner, M. Optimally solving the alternative subgraphs assembly line balancing problem. Ann Oper Res 172, 243–258 (2009). https://doi.org/10.1007/s10479-009-0578-4
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DOI: https://doi.org/10.1007/s10479-009-0578-4