Evaluation of CUSUM Charts for Finite-Horizon Processes

Abstract

This article analyses and evaluates the properties of a CUSUM chart designed for monitoring the process mean in short production runs. Several statistical measures of performance that are appropriate when the process operates for a finite-time horizon are proposed. The methodology developed in this article can be used to evaluate the performance of the CUSUM scheme for any given set of chart parameters from both an economic and a statistical point of view, and thus, allows comparisons with various other charts.

Keywords:

• CUSUM chart
• Short runs
• Statistical process control

Mathematics Subject Classification:

• 93E20
• 60J22