Optimal Design of a Sign Control Chart with Variable Sample Size

Authors

Iran University of Science and Technology (IUST), Tehran, Iran

Abstract
Many researchers have shown that adaptive control charts perform more efficiently than fixed-parameter charts in detecting process shifts. The adaptive charts proposed in previous studies are generally based on the assumption that the observations follow a normal distribution. However, in many real-world processes, the distribution of observations is non-normal or, in most cases, unknown. The control chart proposed in this article is a sign control chart with variable sample size for monitoring the process median. It has two key advantages: first, it does not require the assumption of normality for the observations, and second, it is adaptive, which allows it to detect shifts in the process median more quickly than fixed-parameter charts. The performance of this chart is evaluated based on the Average Sample Number (ASN) until an alarm is triggered, which is obtained using the properties of a Markov chain.

Keywords