A Class of Expected Value Bilevel Programming Problems with Random Coefficients Based on Rough Approximation and Its Application to a Production-Inventory System
This paper focuses on the development of a bilevel optimization model with random coefficients for a production-inventory system. The expected value operator technique is used to deal with the objective function, and rough approximation is applied to convert the stochastic constraint into a crisp co...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/312527 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832568216318115840 |
|---|---|
| author | Liming Yao Jiuping Xu |
| author_facet | Liming Yao Jiuping Xu |
| author_sort | Liming Yao |
| collection | DOAJ |
| description | This paper focuses on the development of a bilevel optimization model with random coefficients for a production-inventory system. The expected value operator technique is used to deal with the objective function, and rough approximation is applied to convert the stochastic constraint into a crisp constraint. Then an interactive programming method and genetic algorithm are utilized to solve the crisp model. Finally, an application is given to show the efficiency of the proposed model and approaches in solving the problem. |
| format | Article |
| id | doaj-art-677a179cca17429dad174fc5ea623d4e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-677a179cca17429dad174fc5ea623d4e2025-02-03T00:59:26ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/312527312527A Class of Expected Value Bilevel Programming Problems with Random Coefficients Based on Rough Approximation and Its Application to a Production-Inventory SystemLiming Yao0Jiuping Xu1Uncertainty Decision-Making Laboratory, Sichuan University, Chengdu 610064, ChinaUncertainty Decision-Making Laboratory, Sichuan University, Chengdu 610064, ChinaThis paper focuses on the development of a bilevel optimization model with random coefficients for a production-inventory system. The expected value operator technique is used to deal with the objective function, and rough approximation is applied to convert the stochastic constraint into a crisp constraint. Then an interactive programming method and genetic algorithm are utilized to solve the crisp model. Finally, an application is given to show the efficiency of the proposed model and approaches in solving the problem.http://dx.doi.org/10.1155/2013/312527 |
| spellingShingle | Liming Yao Jiuping Xu A Class of Expected Value Bilevel Programming Problems with Random Coefficients Based on Rough Approximation and Its Application to a Production-Inventory System Abstract and Applied Analysis |
| title | A Class of Expected Value Bilevel Programming Problems with Random Coefficients Based on Rough Approximation and Its Application to a Production-Inventory System |
| title_full | A Class of Expected Value Bilevel Programming Problems with Random Coefficients Based on Rough Approximation and Its Application to a Production-Inventory System |
| title_fullStr | A Class of Expected Value Bilevel Programming Problems with Random Coefficients Based on Rough Approximation and Its Application to a Production-Inventory System |
| title_full_unstemmed | A Class of Expected Value Bilevel Programming Problems with Random Coefficients Based on Rough Approximation and Its Application to a Production-Inventory System |
| title_short | A Class of Expected Value Bilevel Programming Problems with Random Coefficients Based on Rough Approximation and Its Application to a Production-Inventory System |
| title_sort | class of expected value bilevel programming problems with random coefficients based on rough approximation and its application to a production inventory system |
| url | http://dx.doi.org/10.1155/2013/312527 |
| work_keys_str_mv | AT limingyao aclassofexpectedvaluebilevelprogrammingproblemswithrandomcoefficientsbasedonroughapproximationanditsapplicationtoaproductioninventorysystem AT jiupingxu aclassofexpectedvaluebilevelprogrammingproblemswithrandomcoefficientsbasedonroughapproximationanditsapplicationtoaproductioninventorysystem AT limingyao classofexpectedvaluebilevelprogrammingproblemswithrandomcoefficientsbasedonroughapproximationanditsapplicationtoaproductioninventorysystem AT jiupingxu classofexpectedvaluebilevelprogrammingproblemswithrandomcoefficientsbasedonroughapproximationanditsapplicationtoaproductioninventorysystem |