Efficient Selection of Design Parameters in Multi-Objective Economic-Statistical Model of Attribute C Control Chart

Document Type : Research Paper


1 Department of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran

2 Industrial Engineering Department, Shahed University, Tehran, Iran

3 Industrial Engineering Department, Islamic Azad University, Science and Research Branch, Tehran, Iran


Control chart is the most well-known chart to monitor the number of nonconformities per inspection unit where each sample consists of constant size. Generally, the design of a control chart requires determination of sample size, sampling interval, and control limits width. Optimally selecting these parameters depends on several process parameters, which have been considered from statistical and/or economic aspects in the literature. This study presents a multi-objective economic-statistical design (MOESD) of the C control chart. An algorithm using data envelopment analysis (DEA) is employed to solve this model. A numerical example is used to illustrate the algorithm procedure.