For answering the question it is assumed that the payment is done by the owner only for the hours worked, the idle and the waiting time are non-paid. The cost of prepping is $50/hr and the painting cost is $30/hr. The given conditions are noted for the calculation of the total labour cost for the painting project. The following excel table is attached after the calculation of the cost of the project.
|
Date |
Resource |
Daily Regular Cost |
Overtime Hrs |
Overtime Rate |
Overtime Cost |
Total Cost |
|
Mon 4-9-2018 |
PE1 |
$ 400.00 |
$ 100.00 |
$ – |
$ 400.00 |
|
|
Mon 4-9-2018 |
P1 |
$ 250.00 |
1.00 |
$ 62.50 |
$ 62.50 |
$ 312.50 |
|
Tue 4-10-2018 |
PE1 |
$ 400.00 |
$ 100.00 |
$ – |
$ 400.00 |
|
|
Tue 4-10-2018 |
P1 |
$ 250.00 |
1.00 |
$ 62.50 |
$ 62.50 |
$ 312.50 |
|
Wed 4-11-2018 |
PE1 |
$ 400.00 |
$ 100.00 |
$ – |
$ 400.00 |
|
|
Wed 4-11-2018 |
P2 |
$ 250.00 |
1.00 |
$ 62.50 |
$ 62.50 |
$ 312.50 |
|
Thu 4-12-2018 |
PE2 |
$ 600.00 |
$ 150.00 |
$ – |
$ 600.00 |
|
|
Thu 4-12-2018 |
P3 |
$ 300.00 |
1.00 |
$ 75.00 |
$ 75.00 |
$ 375.00 |
|
Fri 4-13-2018 |
PE2 |
$ 600.00 |
$ 150.00 |
$ – |
$ 600.00 |
|
|
Fri 4-13-2018 |
P2 |
$ 250.00 |
1.00 |
$ 62.50 |
$ 62.50 |
$ 312.50 |
|
Sat 4-14-2018 |
PE2 |
$ 600.00 |
$ 150.00 |
$ – |
$ 600.00 |
|
|
Sat 4-14-2018 |
P1 |
$ 250.00 |
1.00 |
$ 62.50 |
$ 62.50 |
$ 312.50 |
|
TOTAL |
$ 4,550.00 |
6.00 |
$ 387.50 |
$ 4,937.50 |
The project plan is created maintaining the constraints including the lunch breaks and the following the standard 8 hours per day from 8 A.M to 5 P.M. The resources are selected each day such that all the resources are not hired for the day and cost of the project is kept minimum. The rate of the Prep Experts and the Painters are considered for the calculation of the cost of the project. It is assumed that if more than one of the resource is allocated for the completion of the task each of the member would have an equal contribution for the completion of the activity.
|
ID |
Room |
Activity |
Effort |
Wait Time |
Predecessor(s) |
Resource(s) Abbr. (e.g., PE1, P1,P2) |
Duration (Hrs) |
Start Time |
End Time |
Resource Overtime Hours Calculated at End of Day |
|
1 |
Bathroom 1 |
Prepping |
3 |
PE1 |
3.00 |
Mon 4-9-2018 8:00 AM |
Mon 4-9-2018 11:00 AM |
|||
|
2 |
Bathroom 1 |
Paint coat 1 |
2 |
1 |
P1 |
4.00 |
Mon 4-9-2018 11:00 AM |
Mon 4-9-2018 3:00 PM |
||
|
3 |
Bathroom 1 |
Coat 1 Dry Time |
1 |
2 |
1.00 |
Mon 4-9-2018 3:00 PM |
Mon 4-9-2018 4:00 PM |
|||
|
4 |
Bathroom 1 |
Paint Coat 2 |
2 |
3 |
P1 |
4.00 |
Mon 4-9-2018 4:00 PM |
Mon 4-9-2018 8:00 PM |
1.00 |
|
|
5 |
Bathroom 2 |
Prepping |
3 |
PE1 |
3.00 |
Tue 4-10-2018 8:00 AM |
Tue 4-10-2018 11:00 AM |
|||
|
6 |
Bathroom 2 |
Paint coat 1 |
2 |
5 |
P1 |
4.00 |
Tue 4-10-2018 11:00 AM |
Tue 4-10-2018 3:00 PM |
||
|
7 |
Bathroom 2 |
Coat 1 Dry Time |
1 |
6 |
1.00 |
Tue 4-10-2018 3:00 PM |
Tue 4-10-2018 4:00 PM |
|||
|
8 |
Bathroom 2 |
Paint Coat 2 |
2 |
7 |
P1 |
4.00 |
Tue 4-10-2018 4:00 PM |
Tue 4-10-2018 8:00 PM |
1.00 |
|
|
9 |
Master Bedroom |
Prepping |
6 |
4, 8 |
PE1 |
3.00 |
Wed 4-11-2018 8:00 AM |
Wed 4-11-2018 11:00 AM |
||
|
10 |
Master Bedroom |
Paint coat 1 |
4 |
9 |
P2 |
4.00 |
Wed 4-11-2018 11:00 AM |
Wed 4-11-2018 3:00 PM |
||
|
11 |
Master Bedroom |
Coat 1 Dry Time |
1 |
10 |
1.00 |
Wed 4-11-2018 3:00 PM |
Wed 4-11-2018 4:00 PM |
|||
|
12 |
Master Bedroom |
Paint Coat 2 |
4 |
11 |
P2 |
4.00 |
Wed 4-11-2018 4:00 PM |
Wed 4-11-2018 8:00 PM |
1.00 |
|
|
13 |
Bedroom 2 |
Prepping |
3.5 |
4, 8 |
PE2 |
3.00 |
Thu 4-12-2018 8:00 AM |
Thu 4-12-2018 11:00 AM |
||
|
14 |
Bedroom 2 |
Paint coat 1 |
3 |
13 |
P3 |
4.00 |
Thu 4-12-2018 11:00 AM |
Thu 4-12-2018 3:00 PM |
||
|
15 |
Bedroom 2 |
Coat 1 Dry Time |
1 |
14 |
1.00 |
Thu 4-12-2018 3:00 PM |
Thu 4-12-2018 4:00 PM |
|||
|
16 |
Bedroom 2 |
Paint Coat 2 |
3 |
15 |
P3 |
4.00 |
Thu 4-12-2018 4:00 PM |
Thu 4-12-2018 8:00 PM |
1.00 |
|
|
17 |
Hallway |
Prepping |
4 |
12,16 |
PE2 |
3.00 |
Fri 4-13-2018 8:00 AM |
Fri 4-13-2018 11:00 AM |
||
|
18 |
Hallway |
Paint coat 1 |
3 |
17 |
P2 |
4.00 |
Fri 4-13-2018 11:00 AM |
Fri 4-13-2018 3:00 PM |
||
|
19 |
Hallway |
Coat 1 Dry Time |
1 |
18 |
1.00 |
Fri 4-13-2018 3:00 PM |
Fri 4-13-2018 4:00 PM |
|||
|
20 |
Hallway |
Paint Coat 2 |
3 |
19 |
P2 |
4.00 |
Fri 4-13-2018 4:00 PM |
Fri 4-13-2018 8:00 PM |
1.00 |
|
|
21 |
Foyer |
Prepping |
3 |
20 |
PE2 |
3.00 |
Sat 4-14-2018 8:00 AM |
Sat 4-14-2018 11:00 AM |
||
|
22 |
Foyer |
Paint coat 1 |
2 |
21 |
P1 |
4.00 |
Sat 4-14-2018 11:00 AM |
Sat 4-14-2018 3:00 PM |
||
|
23 |
Foyer |
Coat 1 Dry Time |
1 |
22 |
1.00 |
Sat 4-14-2018 3:00 PM |
Sat 4-14-2018 4:00 PM |
|||
|
24 |
Foyer |
Paint Coat 2 |
2 |
23 |
P1 |
4.00 |
Sat 4-14-2018 4:00 PM |
Sat 4-14-2018 8:00 PM |
1.00 |
|
|
Total Schedule Days |
5.50 |
In the question 3 the project is crashed for the solution of question 2 and a project presentation plan is created for the management of the relationship between the resource and the activity. The crashing is applied for completing the project before time and adding more resources for completing the critical activities earlier. It can help the project manager for faster tracking the project and getting the project back to the track. With the crashing of project the need of providing overtime to the workers are eliminated and thus the effort of the employee can be divided for increasing the efficiency of the project.
|
ID |
Room |
Activity |
Effort |
Wait Time |
Predecessor(s) |
Resource(s) Abbr. (e.g., PE1, P1,P2) |
Duration (Hrs) |
Start Time |
End Time |
|
1 |
Bathroom 1 |
Prepping |
3 |
PE1, PE2 |
1.50 |
Mon 4-9-2018 8:00 AM |
Mon 4-9-2018 9:30 AM |
||
|
2 |
Bathroom 1 |
Paint coat 1 |
2 |
1 |
P1, P2 |
2.00 |
Mon 4-9-2018 9:30 AM |
Mon 4-9-2018 11:30 AM |
|
|
3 |
Bathroom 1 |
Coat 1 Dry Time |
1 |
2 |
1.00 |
Mon 4-9-2018 11:30 AM |
Mon 4-9-2018 12:30 PM |
||
|
4 |
Bathroom 1 |
Paint Coat 2 |
2 |
3 |
P1, P2 |
2.00 |
Mon 4-9-2018 12:30 PM |
Mon 4-9-2018 2:30 PM |
|
|
5 |
Bathroom 2 |
Prepping |
3 |
PE2, PE1 |
1.50 |
Tue 4-10-2018 8:00 AM |
Tue 4-10-2018 9:30 AM |
||
|
6 |
Bathroom 2 |
Paint coat 1 |
2 |
5 |
P2, P3 |
2.00 |
Tue 4-10-2018 9:30 AM |
Tue 4-10-2018 11:30 AM |
|
|
7 |
Bathroom 2 |
Coat 1 Dry Time |
1 |
6 |
1.00 |
Tue 4-10-2018 11:30 AM |
Tue 4-10-2018 12:30 PM |
||
|
8 |
Bathroom 2 |
Paint Coat 2 |
2 |
7 |
P2, P3 |
2.00 |
Tue 4-10-2018 12:30 PM |
Tue 4-10-2018 2:30 PM |
|
|
9 |
Master Bedroom |
Prepping |
6 |
4, 8 |
PE2, PE1 |
1.50 |
Wed 4-11-2018 8:00 AM |
Wed 4-11-2018 9:30 AM |
|
|
10 |
Master Bedroom |
Paint coat 1 |
4 |
9 |
2.00 |
Wed 4-11-2018 9:30 AM |
Wed 4-11-2018 11:30 AM |
||
|
11 |
Master Bedroom |
Coat 1 Dry Time |
1 |
10 |
P3, P1 |
1.00 |
Wed 4-11-2018 11:30 AM |
Wed 4-11-2018 12:30 PM |
|
|
12 |
Master Bedroom |
Paint Coat 2 |
4 |
11 |
P3, P1 |
2.00 |
Wed 4-11-2018 12:30 PM |
Wed 4-11-2018 2:30 PM |
|
|
13 |
Bedroom 2 |
Prepping |
3.5 |
4, 8 |
PE1, PE2 |
1.50 |
Thu 4-12-2018 8:00 AM |
Thu 4-12-2018 9:30 AM |
|
|
14 |
Bedroom 2 |
Paint coat 1 |
3 |
13 |
P1, P3 |
2.00 |
Thu 4-12-2018 9:30 AM |
Thu 4-12-2018 11:30 AM |
|
|
15 |
Bedroom 2 |
Coat 1 Dry Time |
1 |
14 |
1.00 |
Thu 4-12-2018 11:30 AM |
Thu 4-12-2018 12:30 PM |
||
|
16 |
Bedroom 2 |
Paint Coat 2 |
3 |
15 |
P1, P3 |
2.00 |
Thu 4-12-2018 12:30 PM |
Thu 4-12-2018 2:30 PM |
|
|
17 |
Hallway |
Prepping |
4 |
12,16 |
PE1, PE2 |
1.50 |
Fri 4-13-2018 8:00 AM |
Fri 4-13-2018 9:30 AM |
|
|
18 |
Hallway |
Paint coat 1 |
3 |
17 |
P2, P3 |
2.00 |
Fri 4-13-2018 9:30 AM |
Fri 4-13-2018 11:30 AM |
|
|
19 |
Hallway |
Coat 1 Dry Time |
1 |
18 |
1.00 |
Fri 4-13-2018 11:30 AM |
Fri 4-13-2018 12:30 PM |
||
|
20 |
Hallway |
Paint Coat 2 |
3 |
19 |
P2, P3 |
2.00 |
Fri 4-13-2018 12:30 PM |
Fri 4-13-2018 2:30 PM |
|
|
21 |
Foyer |
Prepping |
3 |
20 |
PE1, PE2 |
1.50 |
Sat 4-14-2018 8:00 AM |
Sat 4-14-2018 9:30 AM |
|
|
22 |
Foyer |
Paint coat 1 |
2 |
21 |
P2, P3 |
2.00 |
Sat 4-14-2018 9:30 AM |
Sat 4-14-2018 11:30 AM |
|
|
23 |
Foyer |
Coat 1 Dry Time |
1 |
22 |
1.00 |
Sat 4-14-2018 11:30 AM |
Sat 4-14-2018 12:30 PM |
||
|
24 |
Foyer |
Paint Coat 2 |
2 |
23 |
P2, P3 |
2.00 |
Sat 4-14-2018 12:30 PM |
Sat 4-14-2018 2:30 PM |
|
|
Total Schedule Days |
5.27 |
The cost of the project after crashing is calculated and given in the following table. The crashing of the project is applied when the there is a need to complete the project at a faster rate than it is progressing currently. If the deadline for the completion of the project is fixed and the current project needs some changes the project crashing is applied. For the crashing the relationship between the sponsors and the team members of the project should be identified and the project should be flexible such that it can adopt the new changes. The crashing is also applied if there is a delay in the progress of the project due to unavailability of the team members and some complexity in the project. During the progress of the project some of the resources may become suddenly unavailable and who was contributing to the project and thus at the end of the project more resource are added and the project is crashed for completing the project within the scheduled deadline.
|
Date |
Resource |
Daily Regular Cost |
Overtime Hrs |
Overtime Rate |
Overtime Cost |
Total Cost |
|
Mon 4-9-2018 |
PE1 |
$ 400.00 |
$ 100.00 |
$ – |
$ 400.00 |
|
|
Mon 4-9-2018 |
PE2 |
$ 600.00 |
$ 150.00 |
$ – |
$ 600.00 |
|
|
Mon 4-9-2018 |
P1 |
$ 250.00 |
$ 62.50 |
$ – |
$ 250.00 |
|
|
Mon 4-9-2018 |
P2 |
$ 250.00 |
$ 62.50 |
$ – |
$ 250.00 |
|
|
Tue 4-10-2018 |
PE1 |
$ 400.00 |
$ 100.00 |
$ – |
$ 400.00 |
|
|
Tue 4-10-2018 |
PE2 |
$ 600.00 |
$ 150.00 |
$ – |
$ 600.00 |
|
|
Tue 4-10-2018 |
P2 |
$ 250.00 |
$ 62.50 |
$ – |
$ 250.00 |
|
|
Tue 4-10-2018 |
P3 |
$ 300.00 |
$ 75.00 |
$ – |
$ 300.00 |
|
|
Wed 4-11-2018 |
PE2 |
$ 600.00 |
$ 150.00 |
$ – |
$ 600.00 |
|
|
Wed 4-11-2018 |
PE1 |
$ 400.00 |
$ 100.00 |
$ – |
$ 400.00 |
|
|
Wed 4-11-2018 |
P3 |
$ 300.00 |
$ 75.00 |
$ – |
$ 300.00 |
|
|
Wed 4-11-2018 |
P1 |
$ 250.00 |
$ 62.50 |
$ – |
$ 250.00 |
|
|
Thu 4-12-2018 |
PE1 |
$ 400.00 |
$ 100.00 |
$ – |
$ 400.00 |
|
|
Thu 4-12-2018 |
PE2 |
$ 600.00 |
$ 150.00 |
$ – |
$ 600.00 |
|
|
Thu 4-12-2018 |
P1 |
$ 250.00 |
$ 62.50 |
$ – |
$ 250.00 |
|
|
Thu 4-12-2018 |
P3 |
$ 300.00 |
$ 75.00 |
$ – |
$ 300.00 |
|
|
Fri 4-13-2018 |
PE1 |
$ 400.00 |
$ 100.00 |
$ – |
$ 400.00 |
|
|
Fri 4-13-2018 |
PE2 |
$ 600.00 |
$ 150.00 |
$ – |
$ 600.00 |
|
|
Fri 4-13-2018 |
P2 |
$ 250.00 |
0.00 |
$ 62.50 |
$ – |
$ 250.00 |
|
Fri 4-13-2018 |
P3 |
$ 300.00 |
$ 75.00 |
$ – |
$ 300.00 |
|
|
Sat 4-14-2018 |
PE1 |
$ 400.00 |
0.00 |
$ 100.00 |
$ – |
$ 400.00 |
|
Sat 4-14-2018 |
PE2 |
$ 600.00 |
0.00 |
$ 150.00 |
$ – |
$ 600.00 |
|
Sat 4-14-2018 |
P2 |
$ 250.00 |
0.00 |
$ 62.50 |
$ – |
$ 250.00 |
|
Sat 4-14-2018 |
P3 |
$ 300.00 |
0.00 |
$ 75.00 |
$ – |
$ 300.00 |
|
TOTAL |
$ 9,250.00 |
0.00 |
$ – |
$ 9,250.00 |
Revised Project plan after crashing the project with the updates such as actual start date, end date, hours and the new tasks that are needed to be performed for the completion of the project.
|
ID |
Room |
Activity |
Effort |
Wait Time |
Predecessor(s) |
Resource(s) Abbr. (e.g., PE1, P1,P2) |
Duration (Hrs) |
Start Time |
End Time |
|
1 |
Bathroom 1 |
Prepping |
3 |
PE1, PE2 |
1.50 |
Mon 4-9-2018 8:00 AM |
Mon 4-9-2018 9:30 AM |
||
|
2 |
Bathroom 1 |
Paint coat 1 |
2 |
1 |
P1, P2 |
2.00 |
Mon 4-9-2018 9:30 AM |
Mon 4-9-2018 11:30 AM |
|
|
3 |
Bathroom 1 |
Coat 1 Dry Time |
1 |
2 |
1.00 |
Mon 4-9-2018 11:30 AM |
Mon 4-9-2018 12:30 PM |
||
|
4 |
Bathroom 1 |
Paint Coat 2 |
2 |
3 |
P1, P2 |
2.00 |
Mon 4-9-2018 12:30 PM |
Mon 4-9-2018 2:30 PM |
|
|
5 |
Bathroom 2 |
Prepping |
3 |
PE2, PE1 |
1.50 |
Tue 4-10-2018 8:00 AM |
Tue 4-10-2018 9:30 AM |
||
|
6 |
Bathroom 2 |
Paint coat 1 |
2 |
5 |
P2, P3 |
2.00 |
Tue 4-10-2018 9:30 AM |
Tue 4-10-2018 11:30 AM |
|
|
7 |
Bathroom 2 |
Coat 1 Dry Time |
1 |
6 |
1.00 |
Tue 4-10-2018 11:30 AM |
Tue 4-10-2018 12:30 PM |
||
|
8 |
Bathroom 2 |
Paint Coat 2 |
2 |
7 |
P2, P3 |
2.00 |
Tue 4-10-2018 12:30 PM |
Tue 4-10-2018 2:30 PM |
|
|
9 |
Master Bedroom |
Prepping |
6 |
4, 8 |
PE2, PE1 |
1.50 |
Wed 4-11-2018 8:00 AM |
Wed 4-11-2018 9:30 AM |
|
|
10 |
Master Bedroom |
Paint coat 1 |
4 |
9 |
2.00 |
Wed 4-11-2018 9:30 AM |
Wed 4-11-2018 11:30 AM |
||
|
11 |
Master Bedroom |
Coat 1 Dry Time |
1 |
10 |
P3, P1 |
1.00 |
Wed 4-11-2018 11:30 AM |
Wed 4-11-2018 12:30 PM |
|
|
12 |
Master Bedroom |
Paint Coat 2 |
4 |
11 |
P3, P1 |
2.00 |
Wed 4-11-2018 12:30 PM |
Wed 4-11-2018 2:30 PM |
|
|
13 |
Bedroom 2 |
Prepping |
3.5 |
4, 8 |
PE1, PE2 |
1.50 |
Thu 4-12-2018 8:00 AM |
Thu 4-12-2018 9:30 AM |
|
|
14 |
Bedroom 2 |
Paint coat 1 |
3 |
13 |
P1, P3 |
2.00 |
Thu 4-12-2018 9:30 AM |
Thu 4-12-2018 11:30 AM |
|
|
15 |
Bedroom 2 |
Coat 1 Dry Time |
1 |
14 |
1.00 |
Thu 4-12-2018 11:30 AM |
Thu 4-12-2018 12:30 PM |
||
|
16 |
Bedroom 2 |
Paint Coat 2 |
3 |
15 |
P1, P3 |
2.00 |
Thu 4-12-2018 12:30 PM |
Thu 4-12-2018 2:30 PM |
|
|
17 |
Hallway |
Prepping |
4 |
12,16 |
PE1, PE2 |
1.50 |
Fri 4-13-2018 8:00 AM |
Fri 4-13-2018 9:30 AM |
|
|
18 |
Hallway |
Paint coat 1 |
3 |
17 |
P2, P3 |
2.00 |
Fri 4-13-2018 9:30 AM |
Fri 4-13-2018 11:30 AM |
|
|
19 |
Hallway |
Coat 1 Dry Time |
1 |
18 |
1.00 |
Fri 4-13-2018 11:30 AM |
Fri 4-13-2018 12:30 PM |
||
|
20 |
Hallway |
Paint Coat 2 |
3 |
19 |
P2, P3 |
2.00 |
Fri 4-13-2018 12:30 PM |
Fri 4-13-2018 2:30 PM |
|
|
21 |
Foyer |
Prepping |
3 |
20 |
PE1, PE2 |
1.50 |
Sat 4-14-2018 8:00 AM |
Sat 4-14-2018 9:30 AM |
|
|
22 |
Foyer |
Paint coat 1 |
2 |
21 |
P2, P3 |
2.00 |
Sat 4-14-2018 9:30 AM |
Sat 4-14-2018 11:30 AM |
|
|
23 |
Foyer |
Coat 1 Dry Time |
1 |
22 |
1.00 |
Sat 4-14-2018 11:30 AM |
Sat 4-14-2018 12:30 PM |
||
|
24 |
Foyer |
Paint Coat 2 |
2 |
23 |
P2, P3 |
2.00 |
Sat 4-14-2018 12:30 PM |
Sat 4-14-2018 2:30 PM |
|
|
Total Schedule Days |
5.27 |
Chitra, K. and Halder, P., 2017. Scheduling Project Crashing Time Using Linear Programming Approach: Case Study. International Journal of Research in Industrial Engineering, 6(4), pp.283-292.
Mortazavi Nejad, M. and Tareghian, H.R., 2017. Payment scheduling under project crashing based on project progress. Iranian Journal of Numerical Analysis and Optimization, 7(2), pp.39-56.
Rumeser, D. and Emsley, M., 2017, October. Learning Style and Learning Method Preference in Project Management Education: What Happens When Things get More Complex?. In European Conference on Games Based Learning (pp. 860-865). Academic Conferences International Limited.
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