基于极大值原理的最优资源配置  

Optimal Resource Configuration Based on Maximum Principle

作　　者：乔剑锋[1] 王长峰[1] 

机构地区：[1]北京邮电大学经济管理学院,北京100876

出　　处：《北京邮电大学学报（社会科学版）》2013年第5期73-78,共6页Journal of Beijing University of Posts and Telecommunications(Social Sciences Edition)

基　　金：国家自然科学基金项目(71271031;70972123);教育部人文社会科学研究规划基金项目(09YJA630011);国家软科学研究计划重大项目(2012GXS2B012)

摘　　要：针对具体工程项目管理问题,构造可以定量求解的最优控制理论模型是当前研究热点和难点。本文运用最优控制理论中的极大值原理和梯度法,定量地解决了工程项目管理中资源配置问题。首先建立离散资源系统模型的差分方程,然后基于项目进度和项目成本定义最优控制的性能指标函数,最后用梯度法给出定量的数值求解步骤。同时结合工程项目中机械设备的资源数量配置问题,验证了方法的有效性。研究结果表明,极大值原理可以有效地解决资源数量配置问题,为最优控制理论在项目管理中的应用进行了有意义的探索研究。How to build up quantitative optimal control model to deal with specific engineering project manage- ment issues is a difficult but hot point. The resource allocation issues in the engineering project are solved quan- titatively by using maximum principle and gradient method in the optimal control theory. Firstly differential equa- tions for the discrete system of resources configuration model is established ; secondly the optimal control perform- ance index function based on project schedule and project cost is defined; finally gradient method is used to cal- culate resource allocation equations. In the practice, the proposed method is validated to deal with resource allo- cation of machinery in the engineering project. The results show that maximum principle can effectively resolve the number issue of resource allocation, and it is also valuable research on using optimal control theory in the project management.

关 键 词：最优控制 极大值原理 梯度法 工程项目 资源配置 

分 类 号：F062.4[经济管理—政治经济学] F224.5