An Inventory Model under Trapezoidal Type Demand, Weibull-Distributed Deterioration, and Partial Backlogging
This paper studies an inventory model for Weibull-distributed deterioration items with trapezoidal type demand rate, in which shortages are allowed and partially backlogging depends on the waiting time for the next replenishment. The inventory models starting with no shortage is are to be discussed,...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/747419 |
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| _version_ | 1832562712683479040 |
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| author | Lianxia Zhao |
| author_facet | Lianxia Zhao |
| author_sort | Lianxia Zhao |
| collection | DOAJ |
| description | This paper studies an inventory model for Weibull-distributed deterioration items with trapezoidal type demand rate, in which shortages are allowed and partially backlogging depends on the waiting time for the next replenishment. The inventory models starting with no shortage is are to be discussed, and an optimal inventory replenishment policy of the model is proposed. Finally, numerical examples are provided to illustrate the theoretical results, and a sensitivity analysis of the major parameters with respect to the optimal solution is also carried out. |
| format | Article |
| id | doaj-art-efc65107d4f441d6a1d8d301022baec8 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-efc65107d4f441d6a1d8d301022baec82025-02-03T01:22:04ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/747419747419An Inventory Model under Trapezoidal Type Demand, Weibull-Distributed Deterioration, and Partial BackloggingLianxia Zhao0School of Management, Shanghai University, Shanghai 200444, ChinaThis paper studies an inventory model for Weibull-distributed deterioration items with trapezoidal type demand rate, in which shortages are allowed and partially backlogging depends on the waiting time for the next replenishment. The inventory models starting with no shortage is are to be discussed, and an optimal inventory replenishment policy of the model is proposed. Finally, numerical examples are provided to illustrate the theoretical results, and a sensitivity analysis of the major parameters with respect to the optimal solution is also carried out.http://dx.doi.org/10.1155/2014/747419 |
| spellingShingle | Lianxia Zhao An Inventory Model under Trapezoidal Type Demand, Weibull-Distributed Deterioration, and Partial Backlogging Journal of Applied Mathematics |
| title | An Inventory Model under Trapezoidal Type Demand, Weibull-Distributed Deterioration, and Partial Backlogging |
| title_full | An Inventory Model under Trapezoidal Type Demand, Weibull-Distributed Deterioration, and Partial Backlogging |
| title_fullStr | An Inventory Model under Trapezoidal Type Demand, Weibull-Distributed Deterioration, and Partial Backlogging |
| title_full_unstemmed | An Inventory Model under Trapezoidal Type Demand, Weibull-Distributed Deterioration, and Partial Backlogging |
| title_short | An Inventory Model under Trapezoidal Type Demand, Weibull-Distributed Deterioration, and Partial Backlogging |
| title_sort | inventory model under trapezoidal type demand weibull distributed deterioration and partial backlogging |
| url | http://dx.doi.org/10.1155/2014/747419 |
| work_keys_str_mv | AT lianxiazhao aninventorymodelundertrapezoidaltypedemandweibulldistributeddeteriorationandpartialbacklogging AT lianxiazhao inventorymodelundertrapezoidaltypedemandweibulldistributeddeteriorationandpartialbacklogging |