title: Mathematical modeling of a multi-product EMQ model with an enhanced end items issuing policy and failures in rework.
abstract: This study uses mathematical modeling to examine a multi-product economic manufacturing quantity (EMQ) model with an enhanced end items issuing policy and rework failures. We assume that a multi-product EMQ model randomly generates nonconforming items. All of the defective are reworked, but a certain portion fails and becomes scraps. When rework process ends and the entire lot of each product is quality assured, a cost reduction n + 1 end items issuing policy is used to transport finished items of each product. As a result, a closed-form optimal production cycle time is obtained. A numerical example demonstrates the practical usage of our result and confirms a significant savings in stock holding and overall production costs as compared to that of a prior work (Chiu et al. in J Sci Ind Res India, 72:435-440 2013) in the literature.
authors.affiliation: Department of Industrial Engineering and Management, Chaoyang University of Technology, Taichung, 413 Taiwan.
authors.forename: Yuan-Shyi Peter
authors.initials: YS
authors.lastname: Chiu
authors.affiliation: Department of Industrial Engineering and Management, Chaoyang University of Technology, Taichung, 413 Taiwan.
authors.forename: Peng-Cheng
authors.initials: PC
authors.lastname: Sung
authors.affiliation: Department of Business Administration, Chaoyang University of Technology, Taichung, 413 Taiwan.
authors.forename: Singa Wang
authors.initials: SW
authors.lastname: Chiu
authors.affiliation: Department of Business Administration, Chaoyang University of Technology, Taichung, 413 Taiwan.
authors.forename: Chung-Li
authors.initials: CL
authors.lastname: Chou
keywords: Economic manufacturing quantity; Mathematical modeling; Multi-delivery; Multi-product system; Optimization; Rework failures