| 模糊预测型线性规划在矿山产能分配中的应用 |
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| 引用本文： | 刘浪,陈建宏,郑海力.模糊预测型线性规划在矿山产能分配中的应用[J].中南大学学报(自然科学版),2012,43(2):611-619. |
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| 作者姓名： | 刘浪 陈建宏 郑海力 |
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| 作者单位： | 中南大学资源与安全工程学院,湖南长沙,410083;湖南省深部金属矿产开发与灾害控制重点实验室,湖南长沙,410083 |
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| 基金项目： | 国家自然科学基金资助项目(50774092);全国优秀博士学位论文专项资金资助项目(200449) |
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| 摘 要： | 针对矿山产能分配时约束条件多为模糊约束,而约束系数多为灰数的情况,综合模糊线性规划以及灰色预测型线性规划特点,构建模糊预测性线型规划模型对矿山产能进行分配.利用灰色预测理论对模型中的各灰色系数进行白化,将模糊预测型线性规划模型转变为模糊线性规划模型.利用模糊最优判决条件将模糊线性规划转变为求最大隶属度的一般线性规划模型,进而得到矿山产能取得最大经济效益时的产能分配,实现生产资料的科学配置和利润的最大化.
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| 关 键 词： | 产能分配 模糊预测性线性规划 模糊线性规划 灰色预测型线性规划 |
Application of fuzzy grey predictability linear programming in capacity allocation of mine |
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| LIU Lang
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CHEN Jian-hong
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ZHENG Hai-li.Application of fuzzy grey predictability linear programming in capacity allocation of mine[J].Journal of Central South University:Science and Technology,2012,43(2):611-619. |
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| Authors: | LIU Lang CHEN Jian-hong ZHENG Hai-li |
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| Institution: | 1,2 (1.School of Resources and Safety Engineering,Central South University,Changsha 410083,China; 2.Deep Metal Mineral Exploitation and Hazard Control Key Laboratory,Changsha 410083,China) |
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| Abstract: | For mine capacity allocation,the constraints are mostly fuzzy,while the constraint coefficients are mostly grey numbers.Considering the characteristics of fuzzy linear programming and grey predictability linear programming,fuzzy grey predictability linear programming model was constructed for mine production allocation.Grey prediction theory was used to whiten grey coefficients,fuzzy grey predictability linear programming model was turned into fuzzy linear programming model and fuzzy optimal decision was used to turn the fuzzy linear programming model into linear programming model.The goal of the linear programming model is to maximize membership degree and achieve the capacity allocation,which leads to the maximum economic benefit and achieves a rational distribution of production and profit maximization. |
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| Keywords: | capacity allocation fuzzy predictability linear programming fuzzy linear programming grey predictability linear programming |
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