Using Complete Squares Method to Optimize Replenishment Policies in a Four-Stage Supply Chain with Planned Backorders

We develop a four-stage, serial supply chain inventory model with planned backorders. This supply chain model is formulated for the integer multipliers coordination mechanism, where firms at the same stage of the supply chain use the same cycle time and the cycle time at each stage is an integer mul...

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Bibliographic Details
Main Author: M. E. Seliaman
Format: Article
Language:English
Published: Asia University 2011-01-01
Series:Advances in Decision Sciences
Online Access:http://dx.doi.org/10.1155/2011/745896
Description
Summary:We develop a four-stage, serial supply chain inventory model with planned backorders. This supply chain model is formulated for the integer multipliers coordination mechanism, where firms at the same stage of the supply chain use the same cycle time and the cycle time at each stage is an integer multiplier of the cycle time used at the adjacent downstream stage. We develop an optimal replenishment policy using a simple algebraic method to solve the problem without the use of differential calculus.
ISSN:2090-3359
2090-3367