%0 Journal Article
%T An EPQ model with a random breakdown, rework, and a discontinuous issuing policy
%A Chang
%A Chih-Kai
%A Chiu
%A Singa Wang
%A Chiu
%A Yuan-Shyi Peter
%A Song
%A Ming-Syuan
%J -
%D 2015
%X Sa£żetak This study attempts to determine the optimal production run time for an economic production quantity (EPQ) model with a Poisson breakdown rate, the rework of nonconforming items, and multi-delivery of finished products. It is assumed that nonconforming items can be randomly produced and repaired through a rework process added at the end of the production process. Production equipment is subject to a random breakdown, which follows a Poisson distribution. When a breakdown occurs, the machine immediately goes under repair and adopts an abort/resume inventory control policy. Under this policy, the production of the interrupted lot instantaneously resumes when the machine is repaired and restored. Upon completion of the rework process, n fixed quantity installments of the finished batch are delivered to the customer at a fixed interval of time. Mathematical modelling together with a numerical analysis is used in this study. Theorems on the convexity of the expected system cost function and bounds of production uptime are proposed and proved. A recursive searching algorithm is developed to find the optimal replenishment uptime within the bounds. Finally, a numerical example is provided to demonstrate the practical usage of the study results
%K economic production quantity
%K breakdown
%K multi-delivery
%K rework
%K abort-resume
%K policy
%K optimization
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=250601