| 带有短缺的模糊生产-库存模型 |
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| 引用本文： | 赵明,周永务.带有短缺的模糊生产-库存模型[J].合肥工业大学学报(自然科学版),2005,28(1):99-104. |
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| 作者姓名： | 赵明 周永务 |
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| 作者单位： | 合肥工业大学,理学院,安徽,合肥,230009;合肥工业大学,理学院,安徽,合肥,230009 |
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| 基金项目： | 国家自然科学基金资助项目(704710045) |
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| 摘 要： | 在实际生产环境中,许多生产因素是模糊的,通常用模糊语言来描述。文章基于经典的带有短缺的生产-库存模型,在全部生产要素均为模糊数的假设下,建立了模糊生产-库存的数学模型。将广义Lagrange乘子法与反证法相结合,给出模型最优解的求解过程。从而进一步说明,该模型更加适应于实际生产环境。
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| 关 键 词： | 短缺 生产-库存 模糊生产-库存 四边形模糊数 广义Lagrange乘子法 |
| 文章编号： | 1003-5060(2005)01-0099-06 |
| 修稿时间： | 2004年3月22日 |
The fuzzy production-inventory model in consideration of shortages |
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| ZHAO Ming,ZHOU Yong-wu.The fuzzy production-inventory model in consideration of shortages[J].Journal of Hefei University of Technology(Natural Science),2005,28(1):99-104. |
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| Authors: | ZHAO Ming ZHOU Yong-wu |
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| Abstract: | In view of the fact that many production factors are fuzzy under actual circumstances and usually described by fuzzy language,based on the classic production-inventory model with shortages considered, the mathematical model of fuzzy production-inventory is established assuming that all of the production factors are fuzzy numbers. A procedure for finding the optimal solutions is provided by combining the generalized Lagrangian multiplier method with proof by contradiction. The classic model can be regarded as the special one of the given model. An application example shows that the presented model is more feasible. |
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| Keywords: | shortage production-inventory fuzzy production-inventory trapezoidal fuzzy number generalized Lagrangian multiplier method |
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