An analytical solution to availability in supply chains

Dejonckheere, Jeroen, Disney, Stephen Michael ORCID: https://orcid.org/0000-0003-2505-9271, Farasyn, Ingrid, Janssen, Freek, Lambrecht, Marc, Towill, Denis Royston and Van de Velde, Wim 2002. An analytical solution to availability in supply chains. Presented at: Sixteenth Triennial Conference of the International Federation of Operational Research Societies, Edinburgh, UK, 8-12 July 2002.

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Abstract

Using a z-transform model of a generic production and inventory control system, this paper discusses analytical solutions to the production and inventory control problem. In particular, availability functions are studied using closed form expressions for bullwhip and inventory variance when demand is an independently and identically distributed normal distribution. These expressions allow for analytical determination of a comprehensive range of customer service measures directly from the system model without recourse to simulation. These mathematical models, utilising z-transforms and statistics, enable a fundamental understanding of production and inventory control systems significantly beyond existing published analyses.

Item Type:	Conference or Workshop Item (Paper)
Date Type:	Completion
Status:	Unpublished
Schools:	Business (Including Economics) Centre for Advanced Manufacturing Systems At Cardiff (CAMSAC)
Related URLs:	Organisation
Last Modified:	21 Oct 2022 10:48
URI:	https://orca.cardiff.ac.uk/id/eprint/41386

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