Joint Determination of Production Quantity, Inspection Schedule, and Control Chart Design

A sensitivity analysis of an integrated model for joint determination of economic design of $\overline{x}$‐control charts, economic production quantity and production run length for a deteriorating production system

“…Later, Rahim and BenDaya [31] generalized the Rahim [30] model by determining that stoppage of the machine during the in-control phase of a false alarm is more realistic. Ben-Daya and Rahim [32] have also introduced maintenance policy into a quality control model under a non-Markovian shock assumption.…”

Coordinated procurement/inspection and production model under inspection errors

“…Later, the exact solution was studied by Makis (1998), Kim, Hong, and Chang (2001) and Wang (2006). When a system cannot be directly inspected while it is operating, Rahim (1994) used a control chart to monitor the process status so that the number of nonconforming outputs can be controlled. Rahim and Ben-Daya (2001) further extended Rahim's (1994) model to investigate the effects of product deterioration with time on optimal production quantity.…”

“…When a system cannot be directly inspected while it is operating, Rahim (1994) used a control chart to monitor the process status so that the number of nonconforming outputs can be controlled. Rahim and Ben-Daya (2001) further extended Rahim's (1994) model to investigate the effects of product deterioration with time on optimal production quantity. It should be noted that when obtaining feedback information on an inspected product requires a longer time than the production run length, then Hu and Zong (2009) utilized lot sizing and an inspection policy together with rework to effectively diminish the number of the nonconforming outputs.…”

Integrating quality and maintenance decisions in a production-inventory model for deteriorating items

“…Rahim and Ben-Daya (2001) provided the only previous model in which the deterioration of both the items produced and the production equipment is considered. They combined the deteriorating inventory model of Misra (1975) with the deteriorating equipment model of Rahim (1994). The combined model is used to determine the optimal lot size, inspection schedule, and control chart limits, with the assumptions of arbitrary distribution of deterioration times, normal distribution of the quality characteristic, and constant demand and production rates.…”

“…Rahim (1994) presented a model to simultaneously determine the production lot size, inspection schedule, and control chart parameters for a deteriorating production process with a general time-to-failure distribution and increasing failure rate. The objective is to minimize the expected total cost of quality control and inventory control per unit time.…”