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A Perfect Algorithm for the Capacitated Lot Size Model with Stockouts

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Beyond Manufacturing Resource Planning (MRP II)

Abstract

For the single-product capacitated dynamic lot size problem with stockouts, a procedure is proposed that detects the optimal first lot size at the earliest possible moment. The proposed algorithm uses the data structure of a dynamic tree, in which long run potential optimal policies are represented by paths and each production decision by a node. Starting with a horizon t = 1 the procedure successively increases t and eliminates in each iteration t all decisions that are not part of an optimal policy using data of the first t periods.

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© 1998 Springer-Verlag Berlin Heidelberg

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Bastian, M., Volkmer, M. (1998). A Perfect Algorithm for the Capacitated Lot Size Model with Stockouts. In: Drexl, A., Kimms, A. (eds) Beyond Manufacturing Resource Planning (MRP II). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03742-3_5

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  • DOI: https://doi.org/10.1007/978-3-662-03742-3_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08393-8

  • Online ISBN: 978-3-662-03742-3

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