CPM网络中单工序对时差的敏感性分析  

Sensitivity Analysis on Single Activity to Network Float in CPM Network Planning

作　　者：乞建勋[1] 马艳[1] 张立辉[1] 

机构地区：[1]华北电力大学经济与管理学院,北京102206

出　　处：《技术经济与管理研究》2013年第1期11-15,共5页Journal of Technical Economics & Management

基　　金：国家自然科学基金资助项目(71171079);北京市教育委员会共建专项资助项目(X90017)

摘　　要：CPM网络计划中,机动时间是网络计划管理的一个核心概念。计算和利用机动时间是网络计划技术中的一个重要问题,它为计划进度的安排提供了选择的可能性,同时为求得计划安排和资源分配提供合理方案。通过对机动时间的研究,引入了总时差、安全时差、自由时差、干扰时差、节点时差等各种网络时差的概念。某一工序对机动时间的使用可能会对其它工序的各类时差产生影响,使网络各类时差的总量发生变化。单工序对网络时差的敏感性分析就是量化该影响效果。针对该问题,提出特征值参量的概念和计算方法,利用该参量分别分析了单工序对网络总时差、网络安全时差、网络自由时差和网络节点时差的敏感性,列出了单工序机动时间使用量和网络各时差所受影响程度之间的函数关系,并分析了其正确性。最后,结合应用举例进行了具体阐述。In CPM network planning,float time is a core concept in the management of planning networks.Calculating and using it is an important problem in CPM.It gives the probability to scheduling project.And it also provides reasonable solutions to allocate the resources.Via studying the float time,we introduce the concepts of total float,safe float,free float,interference float and node float.One activity consumes float may affect other activities＇ floats,so that making the gross of network＇ floats change.The objective of sensitivity analysis on single activity to network floats is to measure the effect.Aiming at the matter,firstly,conception of eigenvalue parameter and method of computing the parameter are given,secondly,sensitivity of single activity to network total float,network safe float,network free float and network node float is analyzed by using the parameter,thirdly,functions of relation between quantity consumed by single activity and degree of network floats affected by the activity are designed,and correctness of the functions are proven,and finally,the feasibility is validated though example.

关 键 词：项目管理 CPM网络 网络时差 网络计划 

分 类 号：F626.5[经济管理—产业经济]