基于极大值原理的最优资源配置

北京邮电大学学报(社会科学版) ›› 2013, Vol. 15 ›› Issue (5): 73-78.

基于极大值原理的最优资源配置

北京邮电大学经济管理学院，北京100876

收稿日期:2013-06-12 出版日期:2013-10-30 发布日期:2023-03-27
基金资助:
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）

Optimal Resource Configuration Based on Maximum Principle

School of Economics and Management, Beijing University of Posts and Telecommunications,
Beijing 100876, China

Received:2013-06-12 Online:2013-10-30 Published:2023-03-27

摘要/Abstract

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。

关键词: 最优控制, 极大值原理, 梯度法, 工程项目, 资源配置

Abstract:

How to build up quantitative optimal control model to deal with specific engineering project management issues is a difficult but hot point The resource allocation issues in the engineering project are solved quantitatively by using maximum principle and gradient method in the optimal control theory Firstly differential equations for the discrete system of resources configuration model is established; secondly the optimal control performance index function based on project schedule and project cost is defined; finally gradient method is used to calculate resource allocation equations In the practice, the proposed method is validated to deal with resource allocation 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

Key words: optimal control, maximum principle, gradient method, engineering project, resource allocation

中图分类号:

乔剑锋, 王长峰. 基于极大值原理的最优资源配置[J]. 北京邮电大学学报(社会科学版), 2013, 15(5): 73-78.

QIAO Jian-feng, WANG Chang-feng. Optimal Resource Configuration Based on Maximum Principle[J]. Journal of Beijing University of Posts and Telecommunications(Social Sciences Edition), 2013, 15(5): 73-78.