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一类带不连续约束优化问题的研究及应用
引用本文:张杰,赵丽萍.一类带不连续约束优化问题的研究及应用[J].厦门大学学报(自然科学版),2010,49(1).
作者姓名:张杰  赵丽萍
作者单位:东北电力大学理学院,吉林,吉林,132013
摘    要:带不连续约束的非线性优化问题在描述许多工程、经济管理问题时有着广泛的应用,而对这类问题的求解比较复杂.针对约束含跳跃间断点的优化问题进行研究,首先通过连续延拓来构造连续函数,然后通过引入逻辑变量,建立了此类问题的混合整数优化模型.作为模型的应用,给出了一个计算实例.

关 键 词:带约束优化问题  逻辑变量  混合整数规划

Research and Application on Optimization Problem with Discontinuous Constraints
ZHANG Jie,ZHAO Li-ping.Research and Application on Optimization Problem with Discontinuous Constraints[J].Journal of Xiamen University(Natural Science),2010,49(1).
Authors:ZHANG Jie  ZHAO Li-ping
Institution:ZHANG Jie,ZHAO Li-ping (College of Science,Northeast Dianli Unversity,Jilin 132013,China)
Abstract:The nonlinear optimization problem with discontinuous constraints can describes many projects and the management of economy. This article researched the optimization problem with discontinuity point of the first kind of constraints,built mixed-integer optimized models on the problem,by means of constructing continuous function and inducting logical variable,then analyzed and solved the problem.At the same time,gave a calculated instance as the application of this problem.
Keywords:the optimization problem with constraints  logical variable  mixed-integer program
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