Objective: Implement an Enterprise Resource Planning (ERP) system.
Method: Activity-on-Arrow (A-o-A) network diagram.
Critical Path: A-B-D-F-G
Total Duration: 51 weeks
Gantt Chart: Visualize the project's time plan.
Objective: Replace an aging entrance system with a biometric authentication system.
Method: Activity-on-Node (A-o-N) network diagram, forward and backward passes.
Critical Path: A-B-D-F-I
Project Duration: 40 weeks
Risk Consideration: 25% chance of discovering design flaws requiring rework.
Expected Project Duration Calculation:
Probability-weighted project duration = (Probability of Scenario 1 * Project duration in Scenario 1) + (Probability of Scenario 2 * Project duration in Scenario 2).
Scenario 1 (no rework): 40 weeks.
Scenario 2 (rework): 78 weeks (40 weeks initial + 38 weeks rework).
0.75 * 40 + 0.25 * 78 = 49.5 weeks.
Common Assumptions:
Complete list of activities can be identified upfront.
Resources are infinite/not a constraint.
No reworks/loops are possible.
Activities are statistically independent.
Logical Dependency:
The start/finish of an activity depends on the start/finish of another activity.
Resource Dependency:
The ability to start/execute an activity depends on the utilization/consumption of some shared resources by another activity.