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

Mohamed E. Seliaman | Zendy

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

Author(s) -

Mohamed E. Seliaman

Publication year - 2011

Publication title -

advances in decision sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.178

H-Index - 13

eISSN - 2090-3367

pISSN - 2090-3359

DOI - 10.1155/2011/745896

Subject(s) - supply chain , multiplier (economics) , mathematical optimization , integer (computer science) , computer science , operations research , algebraic number , chain (unit) , operations management , mathematics , economics , business , marketing , mathematical analysis , macroeconomics , programming language , physics , astronomy

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

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