Optimal double acceptance sampling inspection plans based on inverted Nadarajah-Haghighi distribution
Purpose: In this paper, we present optimal single acceptance sampling inspection plans for Inverted Nadarajah-Haghighi distribution so that the consumer’s and producer’s risks are controlled simultaneously.Methodology: Nonlinear optimization program is used to obtain the optimal sample size and acce...
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| Main Authors: | , |
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| Format: | Article |
| Language: | fas |
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Ayandegan Institute of Higher Education, Tonekabon,
2024-09-01
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| Series: | تصمیم گیری و تحقیق در عملیات |
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| Online Access: | https://www.journal-dmor.ir/article_211089_db6644a230056fdeeb947e9d59558a1d.pdf |
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| author | Mehran Naghizadeh Qomi Zohre Mahdizadeh |
| author_facet | Mehran Naghizadeh Qomi Zohre Mahdizadeh |
| author_sort | Mehran Naghizadeh Qomi |
| collection | DOAJ |
| description | Purpose: In this paper, we present optimal single acceptance sampling inspection plans for Inverted Nadarajah-Haghighi distribution so that the consumer’s and producer’s risks are controlled simultaneously.Methodology: Nonlinear optimization program is used to obtain the optimal sample size and acceptance number as well as the associated consumer’s and producer’s risks.Findings: Optimal sample size and acceptance number are obtained in generalized half-normal distribution. Two real data sets are given for illustrating the results.Originality/Value: Two-point method is used to find the best plan by using nonlinear programing optimization problem. All computations are performed by the R software. |
| format | Article |
| id | doaj-art-5930ecf0195e40dd9dc451eb97628027 |
| institution | Kabale University |
| issn | 2538-5097 2676-6159 |
| language | fas |
| publishDate | 2024-09-01 |
| publisher | Ayandegan Institute of Higher Education, Tonekabon, |
| record_format | Article |
| series | تصمیم گیری و تحقیق در عملیات |
| spelling | doaj-art-5930ecf0195e40dd9dc451eb976280272025-01-30T15:04:05ZfasAyandegan Institute of Higher Education, Tonekabon,تصمیم گیری و تحقیق در عملیات2538-50972676-61592024-09-019360761510.22105/dmor.2024.475477.1866211089Optimal double acceptance sampling inspection plans based on inverted Nadarajah-Haghighi distributionMehran Naghizadeh Qomi0Zohre Mahdizadeh1Department of Statistics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.Department of Statistics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.Purpose: In this paper, we present optimal single acceptance sampling inspection plans for Inverted Nadarajah-Haghighi distribution so that the consumer’s and producer’s risks are controlled simultaneously.Methodology: Nonlinear optimization program is used to obtain the optimal sample size and acceptance number as well as the associated consumer’s and producer’s risks.Findings: Optimal sample size and acceptance number are obtained in generalized half-normal distribution. Two real data sets are given for illustrating the results.Originality/Value: Two-point method is used to find the best plan by using nonlinear programing optimization problem. All computations are performed by the R software.https://www.journal-dmor.ir/article_211089_db6644a230056fdeeb947e9d59558a1d.pdfconsumer’s and producer’s risksnadarajah-haghighi distributionnonlinear programing problemoperating characteristic function |
| spellingShingle | Mehran Naghizadeh Qomi Zohre Mahdizadeh Optimal double acceptance sampling inspection plans based on inverted Nadarajah-Haghighi distribution تصمیم گیری و تحقیق در عملیات consumer’s and producer’s risks nadarajah-haghighi distribution nonlinear programing problem operating characteristic function |
| title | Optimal double acceptance sampling inspection plans based on inverted Nadarajah-Haghighi distribution |
| title_full | Optimal double acceptance sampling inspection plans based on inverted Nadarajah-Haghighi distribution |
| title_fullStr | Optimal double acceptance sampling inspection plans based on inverted Nadarajah-Haghighi distribution |
| title_full_unstemmed | Optimal double acceptance sampling inspection plans based on inverted Nadarajah-Haghighi distribution |
| title_short | Optimal double acceptance sampling inspection plans based on inverted Nadarajah-Haghighi distribution |
| title_sort | optimal double acceptance sampling inspection plans based on inverted nadarajah haghighi distribution |
| topic | consumer’s and producer’s risks nadarajah-haghighi distribution nonlinear programing problem operating characteristic function |
| url | https://www.journal-dmor.ir/article_211089_db6644a230056fdeeb947e9d59558a1d.pdf |
| work_keys_str_mv | AT mehrannaghizadehqomi optimaldoubleacceptancesamplinginspectionplansbasedoninvertednadarajahhaghighidistribution AT zohremahdizadeh optimaldoubleacceptancesamplinginspectionplansbasedoninvertednadarajahhaghighidistribution |