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Article

Easy and Improved Algorithms to Joint Determination of the Replenishment Lot Size and Number of Shipments for an EPQ Model with Rework

by
Leopoldo Eduardo Cárdenas-Barrón
1,*,
Biswajit Sarkar
2 and
Gerardo Treviño-Garza
1
1
Department of Industrial and Systems Engineering; School of Engineering Tecnológico de Monterrey E. Garza Sada 2501 Sur, C.P. 64849, Monterrey, N.L. México
2
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, West Midnapore 721102, West Bengal, India
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2013, 18(2), 132-138; https://doi.org/10.3390/mca18020132
Published: 1 August 2013
Versions Notes

Abstract

Recently, in Mathematical and Computational Applications Journal Chiu et al. [1] and Chen and Chiu [2] propose an inventory model based on EPQ with rework to determine the replenishment lot size and the number of shipments for a vendor-buyer integrated production-inventory system. They solve the inventory problem by considering both variables as continuous. However, the number of shipments must be considered as discrete variable. In this direction, this paper revisits and solves the inventory problem of [1-2] considering the decision variables according to their nature. Two easy and improved algorithms are proposed which simplify and complement the research works of [1-2].
Keywords: replenishment lot size, multiple shipments; EPQ model; random defective rate; rework replenishment lot size, multiple shipments; EPQ model; random defective rate; rework

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MDPI and ACS Style

Cárdenas-Barrón, L.E.; Sarkar, B.; Treviño-Garza, G. Easy and Improved Algorithms to Joint Determination of the Replenishment Lot Size and Number of Shipments for an EPQ Model with Rework. Math. Comput. Appl. 2013, 18, 132-138. https://doi.org/10.3390/mca18020132

AMA Style

Cárdenas-Barrón LE, Sarkar B, Treviño-Garza G. Easy and Improved Algorithms to Joint Determination of the Replenishment Lot Size and Number of Shipments for an EPQ Model with Rework. Mathematical and Computational Applications. 2013; 18(2):132-138. https://doi.org/10.3390/mca18020132

Chicago/Turabian Style

Cárdenas-Barrón, Leopoldo Eduardo, Biswajit Sarkar, and Gerardo Treviño-Garza. 2013. "Easy and Improved Algorithms to Joint Determination of the Replenishment Lot Size and Number of Shipments for an EPQ Model with Rework" Mathematical and Computational Applications 18, no. 2: 132-138. https://doi.org/10.3390/mca18020132

APA Style

Cárdenas-Barrón, L. E., Sarkar, B., & Treviño-Garza, G. (2013). Easy and Improved Algorithms to Joint Determination of the Replenishment Lot Size and Number of Shipments for an EPQ Model with Rework. Mathematical and Computational Applications, 18(2), 132-138. https://doi.org/10.3390/mca18020132

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