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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Bibliographic Details
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
Description
Summary: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.
ISSN:1687-9147
1687-9155