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Math. Comput. Appl. 2008, 13(3), 137-145; doi:10.3390/mca13030137

Mathematical Method for Expediting Scrap-or-Rework Decision Making in EPQ Model with Failure in Repair

1
Department of Business Administration, Chaoyang University of Technology, Taichung 413, Taiwan
2
Department of Accounting, Dean of College of Management, National Changhua University of Education, Bao-Shan Campus, Changhua 500, Taiwan
3
Department of Finance, Chaoyang University of Technology, Taichung 413, Taiwan
*
Author to whom correspondence should be addressed.
Published: 1 December 2008
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Abstract

This study uses a mathematical method to develop an efficient rule for expediting scrap-or-rework decision making in economic production quantity (EPQ) model with failure-in-repair. The expected overall production-inventory costs and the optimal lot sizes for EPQ models with/without rework process are derived and compared. With straightforward numerical derivations, this paper develops an efficient rule including the exact critical value of unit repair cost for each reworked item and its approximation equations, to assist in determining whether it is beneficial to rework the repairable items. Numerical example with sensitivity analysis and discussion are provided to demonstrate their practical usages.
Keywords: Production; EPQ; Scrap-or-rework; Failure in repair Random defectiverate Production; EPQ; Scrap-or-rework; Failure in repair Random defectiverate
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Chiu, S.W.; Chen, K.-K.; Chang, H.-H. Mathematical Method for Expediting Scrap-or-Rework Decision Making in EPQ Model with Failure in Repair. Math. Comput. Appl. 2008, 13, 137-145.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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