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Absalom: Balancing assembly lines with assignment restrictions

Armin Scholl (), Malte Fliedner and Nils Boysen ()
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Nils Boysen: School of Economics and Business Administration, Friedrich-Schiller-University Jena

No 02/2008, Jena Research Papers in Business and Economics - Working and Discussion Papers (Expired!) from Friedrich Schiller University Jena, School of Economics and Business Administration

Abstract: Assembly line balancing problems (ALBPs) arise whenever an assembly line is configured, redesigned or adjusted. An ALBP consists of distributing the total workload for manufacturing products among the work stations along the line. On the one hand, research has focussed on developing effective and fast solution methods for exactly solving the simple assembly line balancing problem (SALBP). On the other hand, a number of real-world extensions of SALBP have been introduced but solved with straight-forward and simple heuristics in many cases. Therefore, there is a lack of procedures for exactly solving such generalized ALBP.In this paper, we show how to extend the well-known solution procedure Salome [Scholl, A., Klein, R., 1997. Salome: A bidirectional branch-and-bound procedure for assembly line balancing. Informs J. Comput. 9 319-334], which is able to solve even large SALBP instances in a very effective manner, to a problem extension with different types of assignment restrictions (called ARALBP). The extended procedure, referred to as Absalom, employs a favorable branching scheme, an arsenal of bounding rules and a variety of logical tests using ideas from constraint programming.Computational experiments show that Absalom is a very promising exact solution approach although the additional assignment restrictions complicate the problem considerably and necessitate a relaxation of some components of Salome.

Keywords: Assembly line balancing; Assignment restrictions; Combinatorial optimization; Branch-and-bound (search for similar items in EconPapers)
Date: 2008
New Economics Papers: this item is included in nep-cmp
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Published in: European Journal of Operational Research 200/3 (2010), 688-701.

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http://dx.doi.org/10.1016/j.ejor.2009.01.049 (application/pdf)

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