Economic Determination of Modified Multiple Dependent State Sampling Plan under Some Lifetime Distributions
In this paper, the modification of multiple dependent state sampling plan is proposed and designed for assuring a mean lifetime of the products under Birnbaum–Saunders distribution and Weibull distribution. The optimal parameters of the proposed plan are determined based on two points on the operati...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/7470196 |
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| _version_ | 1832561326396801024 |
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| author | Muhammad Aslam P. Jeyadurga S. Balamurali Muhammad Azam Ali AL-Marshadi |
| author_facet | Muhammad Aslam P. Jeyadurga S. Balamurali Muhammad Azam Ali AL-Marshadi |
| author_sort | Muhammad Aslam |
| collection | DOAJ |
| description | In this paper, the modification of multiple dependent state sampling plan is proposed and designed for assuring a mean lifetime of the products under Birnbaum–Saunders distribution and Weibull distribution. The optimal parameters of the proposed plan are determined based on two points on the operating characteristic curve approach. Different combinations of producer’s risk and consumer’s risk are considered for plan parameters determination. The efficacy of the proposed plan is compared with those of other existing sampling plans using an average sample number and operating characteristic function. The economic designing of the proposed plan is also considered and the comparative study is done based on the total cost of the inspection. |
| format | Article |
| id | doaj-art-e929c9f5ac4f41a4923e03ce53de9bf6 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e929c9f5ac4f41a4923e03ce53de9bf62025-02-03T01:25:25ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/74701967470196Economic Determination of Modified Multiple Dependent State Sampling Plan under Some Lifetime DistributionsMuhammad Aslam0P. Jeyadurga1S. Balamurali2Muhammad Azam3Ali AL-Marshadi4Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi ArabiaDepartment of Computer Applications, Kalasalingam Academy of Research and Education, Krishnankoil, Tamil Nadu 626126, IndiaDepartment of Computer Applications, Kalasalingam Academy of Research and Education, Krishnankoil, Tamil Nadu 626126, IndiaDepartment of Statistics and Computer Science, University of Veterinary and Animal Sciences, Lahore 54000, PakistanDepartment of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi ArabiaIn this paper, the modification of multiple dependent state sampling plan is proposed and designed for assuring a mean lifetime of the products under Birnbaum–Saunders distribution and Weibull distribution. The optimal parameters of the proposed plan are determined based on two points on the operating characteristic curve approach. Different combinations of producer’s risk and consumer’s risk are considered for plan parameters determination. The efficacy of the proposed plan is compared with those of other existing sampling plans using an average sample number and operating characteristic function. The economic designing of the proposed plan is also considered and the comparative study is done based on the total cost of the inspection.http://dx.doi.org/10.1155/2021/7470196 |
| spellingShingle | Muhammad Aslam P. Jeyadurga S. Balamurali Muhammad Azam Ali AL-Marshadi Economic Determination of Modified Multiple Dependent State Sampling Plan under Some Lifetime Distributions Journal of Mathematics |
| title | Economic Determination of Modified Multiple Dependent State Sampling Plan under Some Lifetime Distributions |
| title_full | Economic Determination of Modified Multiple Dependent State Sampling Plan under Some Lifetime Distributions |
| title_fullStr | Economic Determination of Modified Multiple Dependent State Sampling Plan under Some Lifetime Distributions |
| title_full_unstemmed | Economic Determination of Modified Multiple Dependent State Sampling Plan under Some Lifetime Distributions |
| title_short | Economic Determination of Modified Multiple Dependent State Sampling Plan under Some Lifetime Distributions |
| title_sort | economic determination of modified multiple dependent state sampling plan under some lifetime distributions |
| url | http://dx.doi.org/10.1155/2021/7470196 |
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