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Polynomial Time Algorithms for Some Multi-Level Lot-Sizing Problems with Production Capacities

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Author Info
Stan van Hoesel () (Maastricht University)
H. Edwin Romeijn () (University of Florida)
Dolores Romero Morales () (Maastricht University)
Albert P.M. Wagelmans () (Erasmus University Rotterdam)
Abstract

We consider a model for a serial supply chain in which production, inventory, and transportation decisions are integrated, in the presence of production capacities and for different transportation cost functions. The model we study is a generalization of the traditional single-item economic lot-sizing model, adding stationary production capacities at the manufacturer, as well as multiple intermediate storage levels (including the retailer level), and transportation between these levels. Allowing for general concave production costs and linear holding costs, we provide polynomial time algorithms for the cases where the transportation costs are either linear, or are concave with a fixed-charge structure. In the latter case, we make the additional common and reasonable assumption that the variable transportation and inventory costs are such that holding inventories at higher levels in the supply chain is more attractive from a variable cost perspective. The running times of the algorithms are remarkably insensitive to the number of levels in the supply chain.

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Paper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 02-066/4.

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Date of creation: 28 Jun 2002
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Handle: RePEc:dgr:uvatin:20020066

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Web page: http://www.tinbergen.nl/

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Related research
Keywords: Lot-sizing Integration of Production Planning and Transportation Dynamic Programming Polynomial Time Algorithms

Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis

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  1. Chandra, Pankaj & Fisher, Marshall L., 1994. "Coordination of production and distribution planning," European Journal of Operational Research, Elsevier, vol. 72(3), pages 503-517, February. [Downloadable!] (restricted)
  2. Thomas, Douglas J. & Griffin, Paul M., 1996. "Coordinated supply chain management," European Journal of Operational Research, Elsevier, vol. 94(1), pages 1-15, October. [Downloadable!] (restricted)
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