题目
The precedence table shows the eleven activities required to complete a project.
| Activity | Immediately preceding activities |
|---|---|
| A | – |
| B | – |
| C | – |
| D | A, B |
| E | A, B |
| F | B, C |
| G | B, C |
| H | D |
| I | D, E, F, G |
| J | H, I |
| K | D, E, F |
(a) Draw the activity network for the project, using activity on arc and the minimum number of dummies.
Figure 3 shows a schedule for the project. Each of the activities shown in the precedence table requires one worker. The time taken to complete each activity is in hours and the project is to be completed in the minimum possible time.
(b) (i) State the minimum completion time for the project.
(ii) State the critical activities.
(iii) State the total float on activity G and the total float on activity K.
题目中文翻译
优先级表显示了完成项目所需的十一项活动。
| 活动 | 紧前活动 |
|---|---|
| A | – |
| B | – |
| C | – |
| D | A, B |
| E | A, B |
| F | B, C |
| G | B, C |
| H | D |
| I | D, E, F, G |
| J | H, I |
| K | D, E, F |
(a) 使用弧表示活动和最少数量的虚活动，画出项目的活动网络。
图 3 显示了项目的调度图。优先级表中显示的每项活动需要一名工人。完成每项活动所需的时间以小时为单位，项目应在最小可能时间内完成。
(b) (i) 写出项目的最小完成时间。
(ii) 写出关键活动。
(iii) 写出活动 G 的总时差和活动 K 的总时差。