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/ |
| _version_ | 1848809693893361664 |
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| author | Shyamaprasad Mukherjee, |
| author_facet | Shyamaprasad Mukherjee, |
| author_sort | Shyamaprasad Mukherjee, |
| 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 |
| first_indexed | 2025-11-14T23:18:40Z |
| format | Article |
| id | ukm-1899 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T23:18:40Z |
| publishDate | 2009 |
| publisher | Penerbit ukm |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | 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 |
| spellingShingle | Shyamaprasad Mukherjee, Dodge-Romig plans revisited |
| title | Dodge-Romig plans revisited |
| title_full | Dodge-Romig plans revisited |
| title_fullStr | Dodge-Romig plans revisited |
| title_full_unstemmed | Dodge-Romig plans revisited |
| title_short | Dodge-Romig plans revisited |
| title_sort | dodge-romig plans revisited |
| url | http://journalarticle.ukm.my/1899/ http://journalarticle.ukm.my/1899/ |