A discrete transfer function model to determine the dynamic stability of a vendor managed inventory supply chain

A discrete transfer function model to determine the dynamic stability of a vendor managed inventory supply chain

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Article ID: iaor20022726
Country: United Kingdom
Volume: 40
Issue: 1
Start Page Number: 179
End Page Number: 204
Publication Date: Jan 2002
Journal: International Journal of Production Research
Authors: ,
Keywords: distribution
Abstract:

This paper considers a well-established production and distribution scheduling algorithm, called the Automatic Pipeline, Inventory and Order Based Production Control System within a vendor managed inventory (VMI) supply chain. It develops a transfer function model of the system using causal loop diagrams, block diagrams, difference equations and z-transforms. Important insights into the VMI supply chain are derived from the mathematical model pertaining to the stability and robustness of the VMI system. Analysis confirmed by dynamic simulation clearly demonstrates instability arising from poor design. We also demonstrate its avoidance via our recommended parameter settings for tuning the two feedback loops within the supply chain for a specific production delay. The procedure is readily extended for other production delays and distributions.

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