Introducing a nonlinear programming model and using genetic algorithm to rank the alternatives in analytic hierarchy process
As ranking is one of the most important issues in data envelopment analysis (DEA), many researchers have comprehensive studies on the subject and presented different approaches. In some papers, DEA and Analytic hierarchy process (AHP) are integrated to rank the alternatives. AHP utilizes pairwise co...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Ayandegan Institute of Higher Education, Iran
2014-03-01
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| Series: | Journal of Applied Research on Industrial Engineering |
| Subjects: | |
| Online Access: | http://www.journal-aprie.com/article_43009.html |
| _version_ | 1818735287493197824 |
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| author | Sahar Khoshfetrat Farhad Hosseinzadeh Lotfi |
| author_facet | Sahar Khoshfetrat Farhad Hosseinzadeh Lotfi |
| author_sort | Sahar Khoshfetrat |
| collection | DOAJ |
| description | As ranking is one of the most important issues in data envelopment analysis (DEA), many researchers have comprehensive studies on the subject and presented different approaches. In some papers, DEA and Analytic hierarchy process (AHP) are integrated to rank the alternatives. AHP utilizes pairwise comparisons between criteria and units, assessed subjectively by the decision maker, to rank the units. In this paper, a nonlinear programming (NLP) model is introduced to derive the true weights for pairwise comparison matrices in AHP. Genetic algorithm (GA) is used in order to solve this model. We use MATLAB software to solve proposed model for ranking the alternatives in AHP. A numerical example is applied to illustrate the proposed model. |
| first_indexed | 2024-12-18T00:18:52Z |
| format | Article |
| id | doaj.art-8360fbdf61ef41fdb1abd38e97da2eeb |
| institution | Directory Open Access Journal |
| issn | 2538-5100 |
| language | English |
| last_indexed | 2024-12-18T00:18:52Z |
| publishDate | 2014-03-01 |
| publisher | Ayandegan Institute of Higher Education, Iran |
| record_format | Article |
| series | Journal of Applied Research on Industrial Engineering |
| spelling | doaj.art-8360fbdf61ef41fdb1abd38e97da2eeb2022-12-21T21:27:24ZengAyandegan Institute of Higher Education, IranJournal of Applied Research on Industrial Engineering2538-51002014-03-01111218Introducing a nonlinear programming model and using genetic algorithm to rank the alternatives in analytic hierarchy processSahar Khoshfetrat 0Farhad Hosseinzadeh Lotfi1Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.As ranking is one of the most important issues in data envelopment analysis (DEA), many researchers have comprehensive studies on the subject and presented different approaches. In some papers, DEA and Analytic hierarchy process (AHP) are integrated to rank the alternatives. AHP utilizes pairwise comparisons between criteria and units, assessed subjectively by the decision maker, to rank the units. In this paper, a nonlinear programming (NLP) model is introduced to derive the true weights for pairwise comparison matrices in AHP. Genetic algorithm (GA) is used in order to solve this model. We use MATLAB software to solve proposed model for ranking the alternatives in AHP. A numerical example is applied to illustrate the proposed model.http://www.journal-aprie.com/article_43009.htmldata envelopment analysis (dea)analytic hierarchy process (ahp)genetic algorithm (ga) |
| spellingShingle | Sahar Khoshfetrat Farhad Hosseinzadeh Lotfi Introducing a nonlinear programming model and using genetic algorithm to rank the alternatives in analytic hierarchy process Journal of Applied Research on Industrial Engineering data envelopment analysis (dea) analytic hierarchy process (ahp) genetic algorithm (ga) |
| title | Introducing a nonlinear programming model and using genetic algorithm to rank the alternatives in analytic hierarchy process |
| title_full | Introducing a nonlinear programming model and using genetic algorithm to rank the alternatives in analytic hierarchy process |
| title_fullStr | Introducing a nonlinear programming model and using genetic algorithm to rank the alternatives in analytic hierarchy process |
| title_full_unstemmed | Introducing a nonlinear programming model and using genetic algorithm to rank the alternatives in analytic hierarchy process |
| title_short | Introducing a nonlinear programming model and using genetic algorithm to rank the alternatives in analytic hierarchy process |
| title_sort | introducing a nonlinear programming model and using genetic algorithm to rank the alternatives in analytic hierarchy process |
| topic | data envelopment analysis (dea) analytic hierarchy process (ahp) genetic algorithm (ga) |
| url | http://www.journal-aprie.com/article_43009.html |
| work_keys_str_mv | AT saharkhoshfetrat introducinganonlinearprogrammingmodelandusinggeneticalgorithmtorankthealternativesinanalytichierarchyprocess AT farhadhosseinzadehlotfi introducinganonlinearprogrammingmodelandusinggeneticalgorithmtorankthealternativesinanalytichierarchyprocess |