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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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
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spelling doaj-1a2c8817283e47c4b1de00a32c988e752020-11-24T23:29:03ZengAsia UniversityAdvances in Decision Sciences2090-33592090-33672011-01-01201110.1155/2011/745896745896Using Complete Squares Method to Optimize Replenishment Policies in a Four-Stage Supply Chain with Planned BackordersM. E. Seliaman0Department of Information Systems, College of Computer Science and Information Technology, King Faisal University, Alhsaa 3198, Saudi ArabiaWe 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.http://dx.doi.org/10.1155/2011/745896
collection DOAJ
language English
format Article
sources DOAJ
author M. E. Seliaman
spellingShingle M. E. Seliaman
Using Complete Squares Method to Optimize Replenishment Policies in a Four-Stage Supply Chain with Planned Backorders
Advances in Decision Sciences
author_facet M. E. Seliaman
author_sort M. E. Seliaman
title Using Complete Squares Method to Optimize Replenishment Policies in a Four-Stage Supply Chain with Planned Backorders
title_short Using Complete Squares Method to Optimize Replenishment Policies in a Four-Stage Supply Chain with Planned Backorders
title_full Using Complete Squares Method to Optimize Replenishment Policies in a Four-Stage Supply Chain with Planned Backorders
title_fullStr Using Complete Squares Method to Optimize Replenishment Policies in a Four-Stage Supply Chain with Planned Backorders
title_full_unstemmed Using Complete Squares Method to Optimize Replenishment Policies in a Four-Stage Supply Chain with Planned Backorders
title_sort using complete squares method to optimize replenishment policies in a four-stage supply chain with planned backorders
publisher Asia University
series Advances in Decision Sciences
issn 2090-3359
2090-3367
publishDate 2011-01-01
description 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.
url http://dx.doi.org/10.1155/2011/745896
work_keys_str_mv AT meseliaman usingcompletesquaresmethodtooptimizereplenishmentpoliciesinafourstagesupplychainwithplannedbackorders
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