Analysis of the Family of Generalized Cumulative Sum Type Control Charts

As an aid to the practitioners, various Phase II quality control charts have been developed to monitor for a change in the parameters of the distribution of a quality measurement. In this project, the family of generalized cumulative sum type charts was studied. An equivalent chart version that requires fewer parameters was given. Some useful integral equations were derived for determining the run length distribution of the lower and upper one-sided charts. The Markov chain methods were also given. The parameters unknown version was presented and the performance analysis was studied for the chart for monitoring for a change in the mean of a normal distribution. The design and analysis of a chart when the quality measurement follows a gamma distribution was given, which includes the design and analysis of a chart for monitoring for a change in the standard deviation of a normal distribution.

Name thesis:degree_name

Master of Science in Mathematics (M.S.)

Level thesis:degree_level

Thesis (open access)

Discipline thesis:degree_discipline

Department of Mathematical Sciences

Year dc:date.available

2012

Author dc:creator

• Wang, Wenmin

Contributors dc:contributor

• Broderick O. Oluyede
• Hani Samawi

• ETD
• Generalized CUSUM
• Average run length
• Normal distribution
• Gamma
• Markov processes
• Mathematics

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/677

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-1677