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基于灰色模拟的灰色机会约束规划
Grey Chance-constrained Programming Based on Grey Emulation
【摘要】 针对不确定规划中存在灰色变量的情况,传统灰色规划方法将其转化为确定型规划后再求解,忽视了不确定因素的影响。本文提出了灰色模拟的概念、方法,给出灰色机会约束规划模型,并进一步给出基于灰色模拟和遗传算法的模型优化求解方法,较好地处理了不确定规划问题中的灰量。实验表明,优化方法适用有效。
【Abstract】 To deal with grey variables, traditional grey programming method transforms uncertain model to certain one, which irrelevantly ignores the influence of uncertain environment. In this paper, we provide the concept and method of grey emulation and a novel model of chanceconstrained programming based on grey emulation. Further, an optimization algorithm based on genetic algorithm is suggested to solve the model. Finally, an example of water resource distribution is put forward to show the applicability of model and algorithm.
【关键词】 不确定;
灰量;
灰色模拟;
机会约束规划;
【Key words】 uncertainty; grey variable; grey emulation; chance-constrained programming;
【Key words】 uncertainty; grey variable; grey emulation; chance-constrained programming;
【基金】 国家自然科学基金资助项目(69974014)
- 【文献出处】 华东理工大学学报 ,Journal of East China University of Science and Technology , 编辑部邮箱 ,2003年04期
- 【分类号】O221
- 【被引频次】21
- 【下载频次】217