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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Penerbit ukm
2009
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| Online Access: | http://journalarticle.ukm.my/1899/ http://journalarticle.ukm.my/1899/ |
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ukm-18992011-06-16T06:56:28Z http://journalarticle.ukm.my/1899/ Dodge-Romig plans revisited Shyamaprasad Mukherjee, 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 Penerbit ukm 2009-07 Article PeerReviewed Shyamaprasad Mukherjee, (2009) Dodge-Romig plans revisited. Journal of Quality Measurement and Analysis, 5 (1). pp. 1-7. ISSN 1823-5670 http://www.ukm.my/~ppsmfst/jqma/index.html |
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Digital Repository |
| institution_category |
Local University |
| institution |
Universiti Kebangasaan Malaysia |
| building |
UKM Institutional Repository |
| collection |
Online Access |
| description |
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 |
| format |
Article |
| author |
Shyamaprasad Mukherjee, |
| spellingShingle |
Shyamaprasad Mukherjee, Dodge-Romig plans revisited |
| author_facet |
Shyamaprasad Mukherjee, |
| author_sort |
Shyamaprasad Mukherjee, |
| title |
Dodge-Romig plans revisited |
| title_short |
Dodge-Romig plans revisited |
| title_full |
Dodge-Romig plans revisited |
| title_fullStr |
Dodge-Romig plans revisited |
| title_full_unstemmed |
Dodge-Romig plans revisited |
| title_sort |
dodge-romig plans revisited |
| publisher |
Penerbit ukm |
| publishDate |
2009 |
| url |
http://journalarticle.ukm.my/1899/ http://journalarticle.ukm.my/1899/ |
| first_indexed |
2023-09-18T19:34:39Z |
| last_indexed |
2023-09-18T19:34:39Z |
| _version_ |
1777405190184370176 |