Mathematical Programming Approach to the Optimality of the Solution for Deterministic Inventory Models with Partial Backordering

Mathematical Programming Approach to the Optimality of the Solution for Deterministic Inventory Models with Partial Backordering

We give an alternative proof of the optimality of the solution for the deterministic EPQ with partial backordering (EPQ-PBO) [Omega, vol. 37, no. 3, pp. 624–636, 2009]. Our proof is based on the mathematical programming theory. We also demonstrate the determination of the optimal decision policy thr...

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Main Author: Irena Stojkovska
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Advances in Operations Research
Online Access:http://dx.doi.org/10.1155/2013/272648
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spelling doaj-f5ef4295eddc4d36913778c4342459f82020-11-24T22:02:06ZengHindawi LimitedAdvances in Operations Research1687-91471687-91552013-01-01201310.1155/2013/272648272648Mathematical Programming Approach to the Optimality of the Solution for Deterministic Inventory Models with Partial BackorderingIrena Stojkovska0Department of Mathematics, Faculty of Natural Sciences and Mathematics, Saints Cyril and Methodius University, Gazi Baba bb, 1000 Skopje, MacedoniaWe give an alternative proof of the optimality of the solution for the deterministic EPQ with partial backordering (EPQ-PBO) [Omega, vol. 37, no. 3, pp. 624–636, 2009]. Our proof is based on the mathematical programming theory. We also demonstrate the determination of the optimal decision policy through solving the corresponding mathematical programming problem. We indicate that the same approach can be used within other inventory models with partial backordering, and we consider additional models.http://dx.doi.org/10.1155/2013/272648
collection DOAJ
language English
format Article
sources DOAJ
author Irena Stojkovska
spellingShingle Irena Stojkovska
Mathematical Programming Approach to the Optimality of the Solution for Deterministic Inventory Models with Partial Backordering
Advances in Operations Research
author_facet Irena Stojkovska
author_sort Irena Stojkovska
title Mathematical Programming Approach to the Optimality of the Solution for Deterministic Inventory Models with Partial Backordering
title_short Mathematical Programming Approach to the Optimality of the Solution for Deterministic Inventory Models with Partial Backordering
title_full Mathematical Programming Approach to the Optimality of the Solution for Deterministic Inventory Models with Partial Backordering
title_fullStr Mathematical Programming Approach to the Optimality of the Solution for Deterministic Inventory Models with Partial Backordering
title_full_unstemmed Mathematical Programming Approach to the Optimality of the Solution for Deterministic Inventory Models with Partial Backordering
title_sort mathematical programming approach to the optimality of the solution for deterministic inventory models with partial backordering
publisher Hindawi Limited
series Advances in Operations Research
issn 1687-9147
1687-9155
publishDate 2013-01-01
description We give an alternative proof of the optimality of the solution for the deterministic EPQ with partial backordering (EPQ-PBO) [Omega, vol. 37, no. 3, pp. 624–636, 2009]. Our proof is based on the mathematical programming theory. We also demonstrate the determination of the optimal decision policy through solving the corresponding mathematical programming problem. We indicate that the same approach can be used within other inventory models with partial backordering, and we consider additional models.
url http://dx.doi.org/10.1155/2013/272648
work_keys_str_mv AT irenastojkovska mathematicalprogrammingapproachtotheoptimalityofthesolutionfordeterministicinventorymodelswithpartialbackordering
_version_ 1725836917911584768

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