A Nonpolynomial Optimal Algorithm for Sequencing Inspectors in a Repeat Inspection System with Rework
Assuming that two types of inspection errors are nonidentical and that only the items rejected by an inspector are reworked and sent to the next inspection cycle, we formulate a combinatorial optimization problem for simultaneously determining both the minimum frequency of inspection-rework cycles a...
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| Veröffentlicht in: | Mathematical problems in engineering Jg. 2015; H. 2015; S. 1 - 9 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Cairo, Egypt
Hindawi Publishing Corporation
01.01.2015
John Wiley & Sons, Inc |
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| ISSN: | 1024-123X, 1563-5147 |
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| Abstract | Assuming that two types of inspection errors are nonidentical and that only the items rejected by an inspector are reworked and sent to the next inspection cycle, we formulate a combinatorial optimization problem for simultaneously determining both the minimum frequency of inspection-rework cycles and the optimal sequence of inspectors selected from a set of available inspectors, in order to meet the constraints of the outgoing quality level. Based on the inherent properties from our mathematical model, we provide a nonpolynomial optimal algorithm with a time complexity of O ( 2 m ) . |
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| AbstractList | Assuming that two types of inspection errors are nonidentical and that only the items rejected by an inspector are reworked and sent to the next inspection cycle, we formulate a combinatorial optimization problem for simultaneously determining both the minimum frequency of inspection-rework cycles and the optimal sequence of inspectors selected from a set of available inspectors, in order to meet the constraints of the outgoing quality level. Based on the inherent properties from our mathematical model, we provide a nonpolynomial optimal algorithm with a time complexity of O ( 2 m ) . Assuming that two types of inspection errors are nonidentical and that only the items rejected by an inspector are reworked and sent to the next inspection cycle, we formulate a combinatorial optimization problem for simultaneously determining both the minimum frequency of inspection-rework cycles and the optimal sequence of inspectors selected from a set of available inspectors, in order to meet the constraints of the outgoing quality level. Based on the inherent properties from our mathematical model, we provide a nonpolynomial optimal algorithm with a time complexity of O ( 2 m ) . Assuming that two types of inspection errors are nonidentical and that only the items rejected by an inspector are reworked and sent to the next inspection cycle, we formulate a combinatorial optimization problem for simultaneously determining both the minimum frequency of inspection-rework cycles and the optimal sequence of inspectors selected from a set of available inspectors, in order to meet the constraints of the outgoing quality level. Based on the inherent properties from our mathematical model, we provide a nonpolynomial optimal algorithm with a time complexity of O( super(2m) ) . Assuming that two types of inspection errors are nonidentical and that only the items rejected by an inspector are reworked and sent to the next inspection cycle, we formulate a combinatorial optimization problem for simultaneously determining both the minimum frequency of inspection-rework cycles and the optimal sequence of inspectors selected from a set of available inspectors, in order to meet the constraints of the outgoing quality level. Based on the inherent properties from our mathematical model, we provide a nonpolynomial optimal algorithm with a time complexity of O ( [superscript] 2 m [/superscript] ) . |
| Author | Yang, Moon Hee Cho, Jae Hyung |
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| Cites_doi | 10.1080/07408178408974676 10.1080/05695558308974633 10.1080/00207543.2013.828171 10.1080/00224065.1987.11979032 10.1080/00207548808947854 10.1080/05695558308974608 10.1016/0925-5273(94)90124-4 10.1016/j.ejor.2007.02.033 10.1080/00207549408957049 10.1080/07408178608975345 10.1080/07408178808966196 10.1016/0377-2217(93)90307-9 |
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| Copyright | Copyright © 2015 Moon Hee Yang and Jae Hyung Cho. Copyright © 2015 Moon Hee Yang and Jae Hyung Cho. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
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| References_xml | – volume: 16 start-page: 115 issue: 2 year: 1984 end-page: 125 ident: 4 article-title: Dynamic programming analysis of special multi-cycle inspection systems – volume: 15 start-page: 187 year: 1983 end-page: 194 ident: 1 article-title: A cost minimization model for multicharacteristic component inspection – volume: 29 start-page: 1039 issue: 12 year: 1997 end-page: 1049 ident: 10 article-title: The optimal frequency and sequencing of tests in the inspection of multicharacteristic components – volume: 19 start-page: 46 issue: 1 year: 1987 end-page: 51 ident: 5 article-title: Multiple inspections to meet desired outgoing quality – volume: 33 start-page: 109 issue: 1–3 year: 1994 end-page: 119 ident: 9 article-title: Optimal sequence of partial inspections subject to errors – volume: 15 start-page: 12 issue: 1 year: 1983 end-page: 18 ident: 2 article-title: Method for sequencing inspection activities subject to errors – volume: 18 start-page: 174 issue: 2 year: 1986 end-page: 181 ident: 3 article-title: The two-inspector problem – volume: 20 start-page: 392 issue: 4 year: 1988 end-page: 398 ident: 7 article-title: On the optimality of a simplified multicharacteristic component inspection model – volume: 191 start-page: 374 issue: 2 year: 2008 end-page: 385 ident: 13 article-title: A general repeat inspection plan for dependent multicharacteristic critical components – volume: 52 start-page: 384 issue: 2 year: 2014 end-page: 396 ident: 15 article-title: Minimisation of inspection and rework cost in a BLU factory considering imperfect inspection – volume: 32 start-page: 1897 issue: 8 year: 1994 end-page: 1907 ident: 14 article-title: A complete inspection plan for dependent multicharacteristic critical components – volume: 26 start-page: 203 issue: 2 year: 1988 end-page: 217 ident: 6 article-title: Economic design of product specifications for a complete inspection plan – volume: 68 start-page: 251 issue: 2 year: 1993 end-page: 264 ident: 8 article-title: Sequencing of inspection operations subject to errors – volume: 15 start-page: 29 year: 1999 end-page: 44 ident: 11 article-title: A cost-minimization model for multiple inspections with repairable defects – volume: 13 start-page: 141 issue: 2 year: 2007 end-page: 157 ident: 12 article-title: A Design and Case Study of a K-Stage BLU inspection system for achieving a target defective rate – volume: 16 start-page: 115 issue: 2 year: 1984 ident: 6 publication-title: IIE Transactions doi: 10.1080/07408178408974676 – volume: 29 start-page: 1039 issue: 12 year: 1997 ident: 1 publication-title: IIE Transactions – volume: 15 start-page: 187 year: 1983 ident: 10 publication-title: IIE Transactions doi: 10.1080/05695558308974633 – ident: 15 doi: 10.1080/00207543.2013.828171 – volume: 19 start-page: 46 issue: 1 year: 1987 ident: 7 publication-title: Journal of Quality Technology doi: 10.1080/00224065.1987.11979032 – ident: 13 doi: 10.1080/00207548808947854 – volume: 15 start-page: 12 issue: 1 year: 1983 ident: 12 publication-title: IIE Transactions doi: 10.1080/05695558308974608 – ident: 9 doi: 10.1016/0925-5273(94)90124-4 – ident: 4 doi: 10.1016/j.ejor.2007.02.033 – volume: 13 start-page: 141 issue: 2 year: 2007 ident: 14 publication-title: International Journal of Management Science – volume: 32 start-page: 1897 issue: 8 year: 1994 ident: 5 publication-title: International Journal of Production Research doi: 10.1080/00207549408957049 – volume: 18 start-page: 174 issue: 2 year: 1986 ident: 3 publication-title: IIE Transactions doi: 10.1080/07408178608975345 – volume: 20 start-page: 392 issue: 4 year: 1988 ident: 8 publication-title: IIE Transactions doi: 10.1080/07408178808966196 – ident: 11 doi: 10.1016/0377-2217(93)90307-9 – volume: 15 start-page: 29 year: 1999 ident: 2 publication-title: Tamsui Oxford Journal of Management Sciences |
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| SubjectTerms | Algorithms Combinatorial analysis Complexity Errors Inspection Inspection frequency Inspections Mathematical models Mathematical problems Optimization Quality Sequences Sequencing Sequential scheduling |
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| Title | A Nonpolynomial Optimal Algorithm for Sequencing Inspectors in a Repeat Inspection System with Rework |
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