The integrated model of the Kolmogorov–Smirnov distribution-free statistic approach to process control and maintenance
This research is aimed to find the optimal values of four variables (n, h, L, k) that minimize the cost of integrated system approach to process control from considering the basis of the EWMA control chart integrated model (Charongrattanasakul and Pongpullponsak, 2009, 2011) and Kolmogorov–Smirnov (...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2017-04-01
|
| Series: | Journal of King Saud University: Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S101836471530104X |
| _version_ | 1818943176633745408 |
|---|---|
| author | P. Khrueasom A. Pongpullponsak |
| author_facet | P. Khrueasom A. Pongpullponsak |
| author_sort | P. Khrueasom |
| collection | DOAJ |
| description | This research is aimed to find the optimal values of four variables (n, h, L, k) that minimize the cost of integrated system approach to process control from considering the basis of the EWMA control chart integrated model (Charongrattanasakul and Pongpullponsak, 2009, 2011) and Kolmogorov–Smirnov (KS) control chart Khrueasom and Pongpullponsak (2014). The proposed mathematical model is used to analyze the cost of the integrated model before the genetic algorithms (GA) approach is carried out in order to calculate the optimal values of four variables (n, h, L, k) that minimize the hourly cost. Subsequently, they are subjects to the nonparametric linear regression test in order to confirm the optimal values of four variables. A comparison between four policies of integrated model KS and other models indicates that the integrated KS model has a better economic behavior when it is distribution-free. Finally, the performance or average run length (ARL) obtained from the KS model is greater than that of the general model. |
| first_indexed | 2024-12-20T07:23:10Z |
| format | Article |
| id | doaj.art-519a8c429798481cb9f76955e12eb359 |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-12-20T07:23:10Z |
| publishDate | 2017-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-519a8c429798481cb9f76955e12eb3592022-12-21T19:48:37ZengElsevierJournal of King Saud University: Science1018-36472017-04-0129218219010.1016/j.jksus.2016.04.005The integrated model of the Kolmogorov–Smirnov distribution-free statistic approach to process control and maintenanceP. KhrueasomA. PongpullponsakThis research is aimed to find the optimal values of four variables (n, h, L, k) that minimize the cost of integrated system approach to process control from considering the basis of the EWMA control chart integrated model (Charongrattanasakul and Pongpullponsak, 2009, 2011) and Kolmogorov–Smirnov (KS) control chart Khrueasom and Pongpullponsak (2014). The proposed mathematical model is used to analyze the cost of the integrated model before the genetic algorithms (GA) approach is carried out in order to calculate the optimal values of four variables (n, h, L, k) that minimize the hourly cost. Subsequently, they are subjects to the nonparametric linear regression test in order to confirm the optimal values of four variables. A comparison between four policies of integrated model KS and other models indicates that the integrated KS model has a better economic behavior when it is distribution-free. Finally, the performance or average run length (ARL) obtained from the KS model is greater than that of the general model.http://www.sciencedirect.com/science/article/pii/S101836471530104XIntegrated modelMaintenance ManagementDistribution-freeKolmogorov–SmirnovNonparametric linear regressionGenetic algorithms |
| spellingShingle | P. Khrueasom A. Pongpullponsak The integrated model of the Kolmogorov–Smirnov distribution-free statistic approach to process control and maintenance Journal of King Saud University: Science Integrated model Maintenance Management Distribution-free Kolmogorov–Smirnov Nonparametric linear regression Genetic algorithms |
| title | The integrated model of the Kolmogorov–Smirnov distribution-free statistic approach to process control and maintenance |
| title_full | The integrated model of the Kolmogorov–Smirnov distribution-free statistic approach to process control and maintenance |
| title_fullStr | The integrated model of the Kolmogorov–Smirnov distribution-free statistic approach to process control and maintenance |
| title_full_unstemmed | The integrated model of the Kolmogorov–Smirnov distribution-free statistic approach to process control and maintenance |
| title_short | The integrated model of the Kolmogorov–Smirnov distribution-free statistic approach to process control and maintenance |
| title_sort | integrated model of the kolmogorov smirnov distribution free statistic approach to process control and maintenance |
| topic | Integrated model Maintenance Management Distribution-free Kolmogorov–Smirnov Nonparametric linear regression Genetic algorithms |
| url | http://www.sciencedirect.com/science/article/pii/S101836471530104X |
| work_keys_str_mv | AT pkhrueasom theintegratedmodelofthekolmogorovsmirnovdistributionfreestatisticapproachtoprocesscontrolandmaintenance AT apongpullponsak theintegratedmodelofthekolmogorovsmirnovdistributionfreestatisticapproachtoprocesscontrolandmaintenance AT pkhrueasom integratedmodelofthekolmogorovsmirnovdistributionfreestatisticapproachtoprocesscontrolandmaintenance AT apongpullponsak integratedmodelofthekolmogorovsmirnovdistributionfreestatisticapproachtoprocesscontrolandmaintenance |