1. 6-1 Allocating Resources to the Project

2. Outline: 6-2 Homework: 20 (omit e) using MSP 21 (an AOA diagram may help!) by hand and Excel  Crashing a project  Fast-Tracking a project  Resource Loading  Resource Leveling

3. 6-3 c=6 e=9 b=6 a=7 f=8 g=5 d=4 ProjectCrashAdditionalNew Critical DurationActivityCostPath 21 20 19 18 17? TOTAL

4. 6-4 d=4 b=2 e=3 c=2 a=3 ProjectCrashAdditionalNew Critical DurationActivityCostPath 8 7 6 5 4 TOTAL

5. 6-5 d=4 b=2 e=3 c=2 a=3 ProjectCrashAdditionalNew Critical DurationActivityCostPath 8 7 6 5 4 TOTAL e(-2) a(-1) d(-1) Dur 5 Alternatives: e(-2) d(-1), from incremental, Proj cost = 220+70+30=$300 e(-2) a(-1) d(-1), from original, Proj cost=120+70+40+30=$260

6. 6-6 d=4 3 b=2 e=3 1 c=2 a=3 2 ProjectCrashAdditionalNew Critical DurationActivityCostPath 8 7 6 5 4 TOTAL Dur 4 Alternatives: e(-2) a(-1) d(-1), from incremental, d(-1), b(-1), Proj cost=260+30+60=$350 a,b,e fully crashed this is as far as we can go we cannot get the project duration under 4

7. 6-7 DurationProjCost 4350 5260 6220 7160 8120

8. 6-8 Table 6-1, Example (8 days, baseline) AOA 1 1 2 2 4 4 3 3 5 5 6 6 a3 b2 e3 d4 c2 Alternate Solution Method

9. 6-9 Crashing a Project Example (21 days, baseline) AOA 1 1 2 2 5 5 4 4 3 3 6 6 a6 b7 c6 d7 e5 f9 g7

10. 6-10 Example (21 days, baseline) AOA 1 1 2 2 5 5 4 4 3 3 6 6 a6 b7 c6 d7 e5 f9 g7

11. 6-11 Example (21 days, baseline) AOA 1 1 2 2 5 5 4 4 3 3 6 6 a6 b7 c6 d7 e5 f9 g7 Using Excel Solver J6 J7 J8 J9 J10 J11 J12 B17 B18 B19 B20 B21

12. 6-12 Example (21 days, baseline) AOA 1 1 2 2 5 5 4 4 3 3 6 6 a6 b7 c6 d7 e5 f9 g7 Using Excel Solver J6 J7 J8 J9 J10 J11 J12 B17 B18 B19 B20 B21 AOA Event Time for a node: Time when all preceding activities are complete. Max time of paths to node (if more than 1 path), or If one path to node, it is equal to the time to the node.

13. 6-13 Example (21 days, baseline) AOA Using Excel Solver

14. 6-14 Example (21 days, baseline) AOA Using Excel Solver Node Constraints: 2) 3) 4) 5) 6) Solution (amount to crash each activity) must be integer and >=0: Event Times must be >=0: Activity crash amount must be <= their max: Node 6 (all activities complete) must be <= Project Deadline:

15. 6-15 Example (21 days, baseline) AOA Using Excel Solver

16. Project Cost versus Project Duration Example Cost Table $400 $430 $470 $550 $650 $750

17. 6-17 c c d d h h c c d d h h

18.  Amount of specific resources that are scheduled for use on specific activities or projects at specific times.  Usually a list or table. 6-18

19. 6-19

20. 6-20

21. 6-21 No Resource Loading 7 Day Work Week Format Gantt Chart Wizard a5a5 a5a5 c5 e2e2 e2e2 b3b3 b3b3 f6 d4d4 d4d4 g2g2 g2g2 0 5 9 11 5 9 7 13 0 3 5 7 3 8 ActivityResources aTim bJoe cGus dAmy eAmy,Joe fSue gTim 0 5 7 11 6 11 11 13 3 6 5 7 7 13 d,e

22. 6-22 Added Resources Added Resource Names to Gantt Resource Tab Clear Leveling (button) a5a5 a5a5 c5 e2e2 e2e2 b3b3 b3b3 f6 d4d4 d4d4 g2g2 g2g2 0 5 9 11 5 9 7 13 0 3 5 7 3 8 ActivityResources aTim bJoe cGus dAmy eAmy,Joe fSue gTim 0 5 7 11 6 11 11 13 3 6 5 7 7 13

23. 6-23 View, Gantt Chart, More Views Resource Usage View, Gantt Chart, More Views Resource Graph ActivityResources aTim bJoe cGus dAmy eAmy,Joe fSue gTim

24. 6-24 Resource Tab Level All Used d’s (LS/LF) slack to avoid overloading of Amy a5a5 a5a5 c5 e2e2 e2e2 b3b3 b3b3 f6 d4d4 d4d4 g2g2 g2g2 0 5 11 13 7 11 7 13 0 3 5 7 3 8 ActivityResources aTim bJoe cGus dAmy eAmy,Joe fSue gTim 0 5 7 11 6 11 11 13 3 6 5 7 7 13

25. 6-25 View tab, Gantt Chart, More Views Resource Usage ActivityResources aTim bJoe cGus dAmy eAmy,Joe fSue gTim

26. 6-26 Unleveled

27. 6-27 Leveled e finishes at 7, but f cannot start Sue is still busy on c a5a5 a5a5 c5 e2e2 e2e2 b3b3 b3b3 f6 d4d4 d4d4 g2g2 g2g2 0 3 3 8 0 5 7 11 12 14 5 7 7 13 8 14 ActivityResources aTim bJoe cSue dAmy eAmy,Joe fSue gTim d cannot start until time 7 because Amy is not free 11 13 7 12 0 5 5 7 8 14 e cannot start at time 6 and finish at 8 because Amy is needed on task d at time 7 8 12 3 6 b cannot LF at time 7 because Joe is needed on e at time 6

28. 6-28 Leveled ActivityResources aTim bJoe cSue dAmy eAmy,Joe fSue gTim