A project has activities with the following normal and crash times and cost;

Question

Activity Predecessor
activity
Normal
time(week)
Crash
time
Normal
cost
Crash
cost
A - 4 3 8000 9000
B A 5 3 16000 20000
C A 4 3 12000 13000
D B 6 5 34000 35000
E C 6 4 42000 44000
F D 5 4 16000 16500
G E 7 4 66000 72000
H G 4 3 2000 5000
Determine a crashing scheme for the above project so that the total project time
is reduced by 3 weeks.In project management

Answer 1

, crashing refers to the process of shortening the duration of a project by allocating additional resources to certain activities.

To determine a crashing scheme for the above project to reduce the total project time by 3 weeks, we need to prioritize activities that have the most significant impact on the overall project duration. In this case, we can focus on activities with the highest crash time reduction and the lowest incremental cost.

1. Activity G has the highest crash time reduction of 3 weeks with a cost increase of $6000 ($72000 - $66000).
2. Activity E has a crash time reduction of 2 weeks with a cost increase of $2000 ($44000 - $42000).
3. Activity D has a crash time reduction of 1 week with a cost increase of $1000 ($35000 - $34000).

Based on the above information, we can crash Activity G by 3 weeks, Activity E by 2 weeks, and Activity D by 1 week to reduce the total project time by 3 weeks. This crashing scheme will involve a total cost increase of $9000 ($6000 + $2000 + $1000), but it will help complete the project faster.