Please use this identifier to cite or link to this item: https://doi.org/10.1080/00207540500219387
Title: Economic design of exponential charts for time between events monitoring
Authors: Zhang, C.W.
Xie, M. 
Goh, T.N. 
Keywords: Control chart
Economic design
Exponential distribution
Homogeneous Poisson process
Time between events
Issue Date: 1-Dec-2005
Source: Zhang, C.W., Xie, M., Goh, T.N. (2005-12-01). Economic design of exponential charts for time between events monitoring. International Journal of Production Research 43 (23) : 5019-5032. ScholarBank@NUS Repository. https://doi.org/10.1080/00207540500219387
Abstract: The occurrence of defects or non-conformities in manufacturing processes can usually be modeled by a homogeneous Poisson process. However, the process parameter may change over time and it can be monitored with statistical process control techniques. Control charts based on an exponential distribution, called exponential charts in this paper, can be developed to monitor the occurrence rate of such events. For manufacturers, the economic objective of production is very important and has to be optimized. An economic approach is developed in this paper for the design of exponential charts. We compare and contrast the performances of statistical design, economic design and economic-statistical design. The usefulness of the proposed economic design approach is justified. The relationships among these designs are illustrated through numerical examples. In particular, the economic-statistical design approach is interpreted from a multi-objective optimization viewpoint. The limitations of the approach as well as future research are also discussed.
Source Title: International Journal of Production Research
URI: http://scholarbank.nus.edu.sg/handle/10635/63110
ISSN: 00207543
DOI: 10.1080/00207540500219387
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