Fuzzy economic order quantity model with ranking fuzzy number cost parameters
In this paper, a multi-objective economic order quantity model with shortages and demand dependent unit cost under storage space constraint is formulated. In real life situation, the objective and constraint goals and cost parameters are not precisely defined. These are defined in fuzzy environm...
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| Format: | Article |
| Language: | English |
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University of Belgrade
2012-01-01
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| Series: | Yugoslav Journal of Operations Research |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-0243/2012/0354-02431200014M.pdf |
| _version_ | 1819042899085492224 |
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| author | Mandal Nirmal Kumar |
| author_facet | Mandal Nirmal Kumar |
| author_sort | Mandal Nirmal Kumar |
| collection | DOAJ |
| description | In this paper, a multi-objective economic order quantity model with shortages and demand dependent unit cost under storage space constraint is formulated. In real life situation, the objective and constraint goals and cost parameters are not precisely defined. These are defined in fuzzy environment. The cost parameters are represented here as triangular shaped fuzzy numbers with different types of left and right branch membership functions. The fuzzy numbers are then expressed as ranking fuzzy numbers with best approximation interval. Geometric programming approach is applied to derive the optimal decisions in closed form. The inventory problem without shortages is discussed as a special case of the original problem. A numerical illustration is given to support the problem. |
| first_indexed | 2024-12-21T09:48:13Z |
| format | Article |
| id | doaj.art-a195024116594397ade294788b538be7 |
| institution | Directory Open Access Journal |
| issn | 0354-0243 1820-743X |
| language | English |
| last_indexed | 2024-12-21T09:48:13Z |
| publishDate | 2012-01-01 |
| publisher | University of Belgrade |
| record_format | Article |
| series | Yugoslav Journal of Operations Research |
| spelling | doaj.art-a195024116594397ade294788b538be72022-12-21T19:08:15ZengUniversity of BelgradeYugoslav Journal of Operations Research0354-02431820-743X2012-01-0122224726410.2298/YJOR110727014MFuzzy economic order quantity model with ranking fuzzy number cost parametersMandal Nirmal KumarIn this paper, a multi-objective economic order quantity model with shortages and demand dependent unit cost under storage space constraint is formulated. In real life situation, the objective and constraint goals and cost parameters are not precisely defined. These are defined in fuzzy environment. The cost parameters are represented here as triangular shaped fuzzy numbers with different types of left and right branch membership functions. The fuzzy numbers are then expressed as ranking fuzzy numbers with best approximation interval. Geometric programming approach is applied to derive the optimal decisions in closed form. The inventory problem without shortages is discussed as a special case of the original problem. A numerical illustration is given to support the problem.http://www.doiserbia.nb.rs/img/doi/0354-0243/2012/0354-02431200014M.pdfinventoryranking fuzzy numbergeometric programming |
| spellingShingle | Mandal Nirmal Kumar Fuzzy economic order quantity model with ranking fuzzy number cost parameters Yugoslav Journal of Operations Research inventory ranking fuzzy number geometric programming |
| title | Fuzzy economic order quantity model with ranking fuzzy number cost parameters |
| title_full | Fuzzy economic order quantity model with ranking fuzzy number cost parameters |
| title_fullStr | Fuzzy economic order quantity model with ranking fuzzy number cost parameters |
| title_full_unstemmed | Fuzzy economic order quantity model with ranking fuzzy number cost parameters |
| title_short | Fuzzy economic order quantity model with ranking fuzzy number cost parameters |
| title_sort | fuzzy economic order quantity model with ranking fuzzy number cost parameters |
| topic | inventory ranking fuzzy number geometric programming |
| url | http://www.doiserbia.nb.rs/img/doi/0354-0243/2012/0354-02431200014M.pdf |
| work_keys_str_mv | AT mandalnirmalkumar fuzzyeconomicorderquantitymodelwithrankingfuzzynumbercostparameters |