Optimising Shewhart Charts in Parallel Production Lines
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Authors
Fricker, R.D. Jr.
Subjects
industrial quality control||statistical process control||x-bar chart||quality engineering||quality technology
Advisors
Date of Issue
2009
Date
Publisher
Language
Abstract
I describe a methodology for optimising n Shewhart x-charts
operating on parallel production lines in a factory. The goal is to maximise the
factory-wide probability of detecting an out-of-control condition subject to a
constraint on the expected number of false signals. I use non-linear
programming to appropriately set the x-charts’ control limits incorporating
information about the probability of each production line going out-of-control.
Using this approach, factories can set their quality control systems to optimally
detect out-of-control conditions. Given some distributional assumptions, I also
present a one-dimensional optimisation methodology that allows for the
efficient optimisation of very large factories.
Type
Article
Description
International Journal of Quality Engineering and Technology, 1, 125-135.
Series/Report No
Department
Operations Research
Organization
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Fricker, R.D., Jr. (2009). Optimizing Shewhart Charts in Parallel Production Lines, International Journal of Quality Engineering and Technology, 1, 125-135.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.