This paper revisits the economic production quantity (EPQ) model with rework process at a single-stage manufacturing system with planned backorders. It is well known that any imperfect production system of real life has random defective rates. In this direction, this paper extends an inventory model to allow random defective rates. Basically, three different inventory models are developed for three different distribution density functions such as uniform, triangular, and beta. The analytical derivation provides closed-form solution for each inventory model. We have made comparison tables of optimal results among the distribution functions. Some numerical examples and sensitivity analysis are given to illustrate the inventory models.
Bibliographical noteFunding Information:
This research was supported by the School of Business and the Tecnológico de Monterrey research fund numbers CAT128 and CAT185 . The research of first author was supported by University Grants Commission (Minor Research Project , File no. 41-1433/2012(SR) ), India by their financial assistance and Vidyasagar University, India as infrastructural assistance to carry out the research. The first author is grateful to his parents and son Arnesh Sarkar for their continuous support during the research. The 1st author would like to thank Mrs. Hanna Agustina Uria for her kind care and help during the trip to Surabaya, Indonesia. The second author would like to thank Sarai Rodríguez Payán, Italia Tatnaí Cárdenas Rodríguez, David Nahúm Cárdenas Rodríguez, and Zuriel Eluzai Cárdenas Rodríguez for their valuable support during the development of this paper.
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Hardware and Architecture
- Industrial and Manufacturing Engineering