%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