Date of Award
8-2025
Degree Type
Thesis
Degree Name
Master of Science - Mathematical Sciences
Department
Mathematics and Statistics
First Advisor
Robert Henderson
Second Advisor
Gregory Miller
Third Advisor
Jacob Turner
Fourth Advisor
Matthew Lindsey
Abstract
Statistical Process Control (SPC) charts are tools used in quality control to monitor and analyze the stability of a process over time. This study evaluates the effectiveness of eight individual Western Electric rules, also known as WECO rules, and the various combinations of these rules with Shewhart rule (or WECO rule 1) to SPC charts. As more rules are added to a process control scheme with Rule 1, there is a trade-off: a higher false out-of-control signal rate but an increase in sensitivity, that is the ability of a specified process control scheme to capture a true out-of-control signal. This research explores the effectiveness of process control schemes by investigating a plan’s run length, that is to analyze the theoretical probability of observing a control signal for a specified control plan via Markov chains method and simulations in R.
Repository Citation
Ngo, Tran B., "SIMULTANEOUS APPLICATION OF MULTIPLE PROCESS CONTROL RULES" (2025). Electronic Theses and Dissertations. 634.
https://scholarworks.sfasu.edu/etds/634
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
