An Uncertain Programming Model for Fixed Charge Transportation Problem with After-Sale Service
This paper constructs an uncertain mathematical model for the fixed charge transportation problem in which several kinds of items are transported from different sources to various destinations via different methods. In addition, after-sale service such as product return and exchange that help to rai...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/8411876 |
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| _version_ | 1850176413999562752 |
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| author | Kai Zhu Yue Fan Jiayu Shen Yuyi Li Mingfeng Yin |
| author_facet | Kai Zhu Yue Fan Jiayu Shen Yuyi Li Mingfeng Yin |
| author_sort | Kai Zhu |
| collection | DOAJ |
| description | This paper constructs an uncertain mathematical model for the fixed charge transportation problem in which several kinds of items are transported from different sources to various destinations via different methods. In addition, after-sale service such as product return and exchange that help to raise the customer’s satisfaction is considered during the trade to meet the reality. Meanwhile, some indeterministic factors may occur during the transportation process; probability theory is not the best option due to the lack of adequate historical data. In the light of this statement, some parameters like supplies, demands, return rate, and exchange rate are all defined as uncertain variables to formulate the uncertain programming model. After that, the equivalent deterministic models are derived with the help of uncertainty theory. Finally, some numerical experiments are implemented via three algorithms; the optimal values are displayed and compared to show the application of this problem. The study of this paper provides an applicable method for the decision maker. |
| format | Article |
| id | doaj-art-af10500acb664f58b35582d0e0a4dca7 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-af10500acb664f58b35582d0e0a4dca72025-08-20T02:19:16ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/8411876An Uncertain Programming Model for Fixed Charge Transportation Problem with After-Sale ServiceKai Zhu0Yue Fan1Jiayu Shen2Yuyi Li3Mingfeng Yin4School of Automobile and Traffic EngineeringThe 723 Institute of CSICDepartment of Public Basic CoursesSchool of Automobile and Traffic EngineeringSchool of Automobile and Traffic EngineeringThis paper constructs an uncertain mathematical model for the fixed charge transportation problem in which several kinds of items are transported from different sources to various destinations via different methods. In addition, after-sale service such as product return and exchange that help to raise the customer’s satisfaction is considered during the trade to meet the reality. Meanwhile, some indeterministic factors may occur during the transportation process; probability theory is not the best option due to the lack of adequate historical data. In the light of this statement, some parameters like supplies, demands, return rate, and exchange rate are all defined as uncertain variables to formulate the uncertain programming model. After that, the equivalent deterministic models are derived with the help of uncertainty theory. Finally, some numerical experiments are implemented via three algorithms; the optimal values are displayed and compared to show the application of this problem. The study of this paper provides an applicable method for the decision maker.http://dx.doi.org/10.1155/2022/8411876 |
| spellingShingle | Kai Zhu Yue Fan Jiayu Shen Yuyi Li Mingfeng Yin An Uncertain Programming Model for Fixed Charge Transportation Problem with After-Sale Service Journal of Mathematics |
| title | An Uncertain Programming Model for Fixed Charge Transportation Problem with After-Sale Service |
| title_full | An Uncertain Programming Model for Fixed Charge Transportation Problem with After-Sale Service |
| title_fullStr | An Uncertain Programming Model for Fixed Charge Transportation Problem with After-Sale Service |
| title_full_unstemmed | An Uncertain Programming Model for Fixed Charge Transportation Problem with After-Sale Service |
| title_short | An Uncertain Programming Model for Fixed Charge Transportation Problem with After-Sale Service |
| title_sort | uncertain programming model for fixed charge transportation problem with after sale service |
| url | http://dx.doi.org/10.1155/2022/8411876 |
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