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On the equivalence of control theoretic, differential, and difference equation approaches to modeling supply chains

Disney, Stephen Michael ORCID: https://orcid.org/0000-0003-2505-9271, Towill, Denis Royston and Warburton, Roger D. H. 2006. On the equivalence of control theoretic, differential, and difference equation approaches to modeling supply chains. International Journal of Production Economics 101 (1) , pp. 194-208. 10.1016/j.ijpe.2005.05.002

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Abstract

We conduct an analysis of an ordering and inventory control algorithm in both continuous and discrete time for a production and inventory control system employing a generalized order-up-to policy. We demonstrate that the management insights gained from both the continuous and discrete time approaches are very similar, and conclude that for practical purposes we may use either time domain in an analysis. This is particularly useful as questions that are difficult to analyze in one time domain may be easier in the other. Although the exact results may differ, their qualitative nature is essentially equivalent.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Business (Including Economics)
Centre for Advanced Manufacturing Systems At Cardiff (CAMSAC)
Subjects: H Social Sciences > H Social Sciences (General)
H Social Sciences > HD Industries. Land use. Labor > HD28 Management. Industrial Management
H Social Sciences > HE Transportation and Communications
Q Science > QA Mathematics
Uncontrolled Keywords: Discrete and continuous time; Production and inventory control; Order-up-to policy; Stability; Step response
Publisher: Elsevier
ISSN: 0925-5273
Last Modified: 21 Oct 2022 09:52
URI: https://orca.cardiff.ac.uk/id/eprint/38100

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