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On properties of the order-based cost function in assemble-to-order systems Bolandnazar, Mohammadreza
Abstract
One of the main results of "Order-Based Cost Optimization in Assemble-to-Order Systems" [1] by Y. Lu and J-S. Song, Operations Research, 53, 151-169 (2005) is Proposition 1 (c), which states that the cost function of an assemble-to-order inventory system satisfies a discrete convexity property called L♮-convexity. Based on this result, Lu and Song proposed two types of L♮-convex minimization algorithms for finding the optimum policy. We construct a simple assemble-to-order system for which the cost function fails to satisfy L♮-convexity. Using a similar system, we further show that the cost function may not enjoy a more general notion of discrete convexity property called D-convexity. Yet, because of some other properties of the cost function, one can still solve the cost optimization problem using other methods from the literature.
Item Metadata
Title |
On properties of the order-based cost function in assemble-to-order systems
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
2013
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Description |
One of the main results of "Order-Based Cost Optimization in Assemble-to-Order Systems" [1] by Y. Lu and J-S. Song, Operations Research, 53, 151-169 (2005) is Proposition 1 (c), which states that the cost function of an assemble-to-order inventory system satisfies a discrete convexity property called L♮-convexity. Based on this result, Lu and Song proposed two types of L♮-convex minimization algorithms for finding the optimum policy. We construct a simple assemble-to-order system for which the cost function fails to satisfy L♮-convexity. Using a similar system, we further show that the cost function may not enjoy a more general notion of discrete convexity property called D-convexity. Yet, because of some other properties of the cost function, one can still solve the cost optimization problem using other methods from the literature.
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Language |
eng
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Date Available |
2013-10-25
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0102462
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
2013-11
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Campus | |
Scholarly Level |
Graduate
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DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International