Dodge-Romig plans revisited
Single sampling inspection plans proposed by Dodge and Romig have been critically examined in respect of the distribution of the number of defectives in a sample as and also the requirement of customer’s risk being equal to 0.10. The problem of determining the plan parameters has been formulated...
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| Format: | Article |
| Published: |
Penerbit ukm
2009
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| Online Access: | http://journalarticle.ukm.my/1899/ http://www.ukm.my/~ppsmfst/jqma/index.html |
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| Summary: | Single sampling inspection plans proposed by Dodge and Romig have been critically examined in
respect of the distribution of the number of defectives in a sample as and also the requirement of
customer’s risk being equal to 0.10. The problem of determining the plan parameters has been
formulated as a non-linear integer programming, a non-zero-sum (bi-matrix) game problem between
the producer and the customer, and also as problem in (non-statistical) decision analysis. Further, the
requirement about a given customer’s risk has been considered as a fuzzy constraint in a fuzzy nonlinear
integer programming problem which can be eventually solved in terms of two non-linear integer
programming problems, assuming a trapezoidal membership function. Different optimality criteria for
determining the plan parameters as constituting the strategies in a decision matrix, where states of
nature correspond to various plausible values of lot fraction defective and the pay-off is the average
amount of inspection, have been considered. Finally, the author indicates how this analysis is relevant
to a wide class of statistical decision problems, particularly many non-parametric tests |
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