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Minimum cost multi-product flow lines

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  • Arianna Alfieri
  • Gaia Nicosia

Abstract

In this paper, the problem of finding the minimum cost flow line able to produce different products is considered. This problem can be formulated as a shortest path problem on an acyclic di-graph when the machines graph associated with each product family is a chain or a comb. These graphs are relevant in production planning when dealing with pipelined assembly systems. We solve the problem using A * algorithm which can be efficiently exploited when there is a good estimate on the value of an optimal solution. Therefore, we adapt a known bound for the Shortest Common Supersequence problem to our case and show the effectiveness of the approach by presenting an extensive computational experience. Copyright Springer Science+Business Media, LLC 2007

Suggested Citation

  • Arianna Alfieri & Gaia Nicosia, 2007. "Minimum cost multi-product flow lines," Annals of Operations Research, Springer, vol. 150(1), pages 31-46, March.
    • Handle: RePEc:spr:annopr:v:150:y:2007:i:1:p:31-46:10.1007/s10479-006-0151-3
    DOI: 10.1007/s10479-006-0151-3
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    References listed on IDEAS

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    1. Peter A. Pinto & David G. Dannenbring & Basheer M. Khumawala, 1983. "Assembly Line Balancing with Processing Alternatives: An Application," Management Science, INFORMS, vol. 29(7), pages 817-830, July.
    2. Wilbert E. Wilhelm & Radu Gadidov, 2004. "A Branch-and-Cut Approach for a Generic Multiple-Product, Assembly-System Design Problem," INFORMS Journal on Computing, INFORMS, vol. 16(1), pages 39-55, February.
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    Cited by:

    1. Agnetis, Alessandro & Kellerer, Hans & Nicosia, Gaia & Pacifici, Andrea, 2012. "Parallel dedicated machines scheduling with chain precedence constraints," European Journal of Operational Research, Elsevier, vol. 221(2), pages 296-305.

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