图1是一个软件项目的活动图,其中顶点表示项目里程碑,连接顶点的边表示包含的活动,若在实际项目进展中,活动AD在活动AC开始3天后才开始,而完成活动DG过程中,由于临时事件发生,实际需要15天才能完成,则完成该项目的最短时间比原计划多了( )天。

- A.8
- B.3
- C.5
- D.6
正确答案及解析
正确答案
解析
关键路径法是确定网络图中每一条路线从起始到结束找出工期最长的线路的方法,也就是说,整个项目工期是由最长的线路来决定的。基本工作原理是:给每个最小任务单元计算工期、定义最早开始和结束日期、最迟开始和结束日期、按照活动的关系形成顺序的网络逻辑图,找出其中最长的路径,即为关键路径。其中在本题中,A-C-G-J-K为关键路径,所以里程碑C在关键路径上。活动AD在活动AC开始3天后才开始,而完成活动DG过程中,由于临时事件发生,实际需要15天才能完成,等于推迟8天,与关键路径时间相比,实际推迟了3天。
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