Abstract
Several models for the economic design of p- and np-charts have been developed where the process can be disturbed by more than one assignable cause. It has been speculated that this multiple causes situation can be converted to the simpler single cause version that yields a matching solution. In this paper, heuristics are developed for determining the matching single cause problem for two multiple causes models. These new heuristics are compared with previously suggested heuristics across a wide range of values for a variety of model parameters.
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References
Chiu, W.K., “Economic Design of Attribute Control Charts,” Technometrics. 17, 81–87, (1975).
Chiu, W.K., “Economic Design of np Charts for Processes Subject to a Multiplicity of Assignable Causes,” Management Science. 23, 404–411, (1976).
Duncan, A.J., “The Economic Design for X-charts Used to Maintain Current Control of a Process,” J. Amer. Statist. Assn.. 5, 228–242, (1956).
Duncan, A.J., “The Economic Design of X-charts When There is a Multiplicity of Assignable Causes,” J.Amer. Statist. Assn., 66, 107–121, (1971).
Gibra, I.N., “Economically Optimal Determination of the Parameters of np-Control Chart,” Journal of Quality Technology, 10, 12–19, (1978).
Gibra, I.N., “Economic Design of Attribute Control Charts for Multiple Assignable Causes,” Journal of Quality Technology, 13, 93–99 (1981).
Hooke, R. and Jeeves, T.A., “Direct Search Solution of Numerical and Statistical Problems,” Journal of the Association for Computing Machinery, 8, 212–229 (1961).
Knappenberger, H.A. and Grandage, A.H., “Minimum Cost Quality Control Tests,” AIIE Transactions, 1, 24–32, (1969).
Ladany, S.P., “Optimal Use of Control Charts for Controlling Current Production,” Management Science, 19, 763–772, (1973).
Montgomery, D.C., Heikes, R.G. and Mance, J.F., “Economic Design of Fraction Defective Control Charts,” Management Science. 21, 1272–1284, (1975).
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© 1990 Springer Science+Business Media New York
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Peters, M.H. (1990). Economic Design of Fraction Defective Control Charts: Simplification of the Multiple Assignable Causes Situation. In: Greer, W.R., Nussbaum, D.A. (eds) Cost Analysis and Estimating. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0995-9_9
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DOI: https://doi.org/10.1007/978-1-4612-0995-9_9
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