Developing a Fuzzy-Stochastic Multi Objectives Inventory Model
In this paper we developed an inventory model in mixed imprecise and uncertain environment. Presented model is developed form of (r,Q) and is a multi-items model with two objectives as minimizing costs (holding & shortage) and risk level under constraints including available budgetary, the least...
| Main Authors: | , |
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| Format: | Article |
| Language: | fas |
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Allameh Tabataba'i University Press
2011-09-01
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| Series: | Muṭāli̒āt-i Mudīriyyat-i Ṣan̒atī |
| Subjects: | |
| Online Access: | https://jims.atu.ac.ir/article_4519_d2147f8e57884b5e4afbc4a7f024cfb5.pdf |
| _version_ | 1797368883458342912 |
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| author | Mohammad Amin Nayebi Abbass Panahinia |
| author_facet | Mohammad Amin Nayebi Abbass Panahinia |
| author_sort | Mohammad Amin Nayebi |
| collection | DOAJ |
| description | In this paper we developed an inventory model in mixed imprecise and uncertain environment. Presented model is developed form of (r,Q) and is a multi-items model with two objectives as minimizing costs (holding & shortage) and risk level under constraints including available budgetary, the least service level, storage spaces & allowable quantities of shortage. Demand distribution functions are assumed to be exponential and extra demands are supposed in two situations as lost sales and backlogging. At first we develop crisp model then fuzzy stochastic model with fuzzy budgetary, allowable quantities of shortage and shortage spaces (i.e. stochastic with normal distribution function) parameter. All of fuzzy numbers are triangular type. In methodology of solution we change model to a crisp multi-objective by using difuzzification of fuzzy constraints and fuzzy chance-constrained programming methods, and then solve it by fuzzy logic method. Finally an illustrated example is taken and solved using LINGO package. |
| first_indexed | 2024-03-08T17:40:01Z |
| format | Article |
| id | doaj.art-8d2ea63fc71f4ab8bf590484b25d811c |
| institution | Directory Open Access Journal |
| issn | 2251-8029 2476-602X |
| language | fas |
| last_indexed | 2024-03-08T17:40:01Z |
| publishDate | 2011-09-01 |
| publisher | Allameh Tabataba'i University Press |
| record_format | Article |
| series | Muṭāli̒āt-i Mudīriyyat-i Ṣan̒atī |
| spelling | doaj.art-8d2ea63fc71f4ab8bf590484b25d811c2024-01-02T11:14:59ZfasAllameh Tabataba'i University PressMuṭāli̒āt-i Mudīriyyat-i Ṣan̒atī2251-80292476-602X2011-09-019222092354519Developing a Fuzzy-Stochastic Multi Objectives Inventory ModelMohammad Amin Nayebi0Abbass Panahinia1عضو هیئت علمی دانشگاه آزاد اسلامی قزوین- باشگاه پژوهشگران جوانعضو هیئت علمی دپارتمان مدیریت صنعتی دانشگاه آزاد اسلامی نقدهIn this paper we developed an inventory model in mixed imprecise and uncertain environment. Presented model is developed form of (r,Q) and is a multi-items model with two objectives as minimizing costs (holding & shortage) and risk level under constraints including available budgetary, the least service level, storage spaces & allowable quantities of shortage. Demand distribution functions are assumed to be exponential and extra demands are supposed in two situations as lost sales and backlogging. At first we develop crisp model then fuzzy stochastic model with fuzzy budgetary, allowable quantities of shortage and shortage spaces (i.e. stochastic with normal distribution function) parameter. All of fuzzy numbers are triangular type. In methodology of solution we change model to a crisp multi-objective by using difuzzification of fuzzy constraints and fuzzy chance-constrained programming methods, and then solve it by fuzzy logic method. Finally an illustrated example is taken and solved using LINGO package.https://jims.atu.ac.ir/article_4519_d2147f8e57884b5e4afbc4a7f024cfb5.pdf(rq) modellost salesbackloggingmulti objective programmingfuzzy-chance constrained programming |
| spellingShingle | Mohammad Amin Nayebi Abbass Panahinia Developing a Fuzzy-Stochastic Multi Objectives Inventory Model Muṭāli̒āt-i Mudīriyyat-i Ṣan̒atī (r q) model lost sales backlogging multi objective programming fuzzy-chance constrained programming |
| title | Developing a Fuzzy-Stochastic Multi Objectives Inventory Model |
| title_full | Developing a Fuzzy-Stochastic Multi Objectives Inventory Model |
| title_fullStr | Developing a Fuzzy-Stochastic Multi Objectives Inventory Model |
| title_full_unstemmed | Developing a Fuzzy-Stochastic Multi Objectives Inventory Model |
| title_short | Developing a Fuzzy-Stochastic Multi Objectives Inventory Model |
| title_sort | developing a fuzzy stochastic multi objectives inventory model |
| topic | (r q) model lost sales backlogging multi objective programming fuzzy-chance constrained programming |
| url | https://jims.atu.ac.ir/article_4519_d2147f8e57884b5e4afbc4a7f024cfb5.pdf |
| work_keys_str_mv | AT mohammadaminnayebi developingafuzzystochasticmultiobjectivesinventorymodel AT abbasspanahinia developingafuzzystochasticmultiobjectivesinventorymodel |