RESOURCES

PERT & CPM Resource Allocation

July Nov 2006

PERT CPM Resource Allocation By Prof. Nadpurohit

Slide 1 of 17

RESOURCESRESOURCES ARE ESSENTIAL TO PERFORM & COMPLETE THE ACTIVITIES IN A PROJECT MATERIALS are worked upon and converted to PROJECT DELIVERABLES by the assigned MANPOWER using its skills & efforts with or without help of EQUIPMENTJuly Nov 2006 PERT CPM Resource Allocation By Prof. Nadpurohit

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RESOURCESRESOURCES ARE CATAGORISED ASDRIVING RESOURCES : Decide project schedule according to rate of output MANPOWER EQUIPMENT / MACHINERY NON DRIVING RESOURCES MATERIALS MONEY

July Nov 2006

PERT CPM Resource Allocation By Prof. Nadpurohit

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RESOURCESRESOURCE SCHEDULING STEPS RESOURCE ESTIMATION: ESTIMATERESOURCES REQUIRED TO ACCOMPLISH INDIVIDUAL TASKS

RESOURCE LOADING: ASSESS RESOURCES TO

BE ORGANIZED FROM PERIOD TO PERIOD RESOURCE SMOOTHING: RESCHEDULE TASKS TO MINIMISE PERIOD TO PERIOD VARIATION IN RESOURCES WITHOUT AFFECTING COMPLETION DATE RESOURCE LEVELLING: RESCHEDULE TASKS TO REMAIN WITHIN RESOURCE CONSTRAINTS WITH OR WITHOUT PROJECT DELAYJuly Nov 2006 PERT CPM Resource Allocation By Prof. Nadpurohit

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RESOURCESRESOURCE SMOOTHING EARLY START SCHEDULE

July Nov 2006

PERT CPM Resource Allocation By Prof. Nadpurohit

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RESOURCESRESOURCE GRAPH FOR EARLY SCHEDULED-1 25 D1 D2 D3 D4 D5 D6 D7 D8 D9 D10 D11 D12 D13

20

15

10

5

Peak Units:

22

22 Ov erallocated:

24

24

10 Allocated:

2

2

1

1

1

1

Men

PEAK RESOURCE REQUIREMENT IS 24 & MINIMUM 1July Nov 2006 PERT CPM Resource Allocation By Prof. Nadpurohit

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RESOURCESINITIAL RULES FOR SMOOTHING

INITIAL RESOURCE LOADING TO BE BASED ON NORMAL WORK RATES & NORMAL COSTS ACTIVITIES TO BE SHIFTED WITHIN AVAILABLE FLOAT WITHOUT CHANGING THEIR NORMAL DURATIONS ACTIVITIES ONCE STARTED CAN OT BE INTERRUPTEDPERT CPM Resource Allocation By Prof. Nadpurohit

July Nov 2006

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RESOURCESRESOURCE SMOOTHING STAGE 1

D1 15

D2

D3

D4

D5

D6

D7

D8

D9

D10

D11

D12

D13

SHIFT ACTIVITY APEAK RESOURCE REQUIREMENT REDUCES TO 15 MINIMUM REQUIREMENT 2

10

5

Peak Units: 13

13

15 Overallocated:

15

10

2 Allocated:

2

10

10

10

10

Men

July Nov 2006

PERT CPM Resource Allocation By Prof. Nadpurohit

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RESOURCESRESOURCE SMOOTHING STAGE 2

D-1 15

D1

D2

D3

D4

D5

D6

D7

D8

D9

D10

D11

D12

D13

SHIFT ACTIVITY EPEAK RESOURCE REQUIREMENT REDUCES TO 13, MINIMUM REQUIREMENT OF 7

10

5

Peak Units:

13

13

7

7

10 Allocated:

10

10

10

10

10

10

Men

Overallocated:

July Nov 2006

PERT CPM Resource Allocation By Prof. Nadpurohit

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RESOURCESRESOURCE SMOOTHING STAGE 3

D-1 10

D1

D2

D3

D4

D5

D6

D7

D8

D9

D10

D11

D12

D13

SHIFT ACTIVITY BRESOURCE REQUIREMENT IS UNIFORM AT 10

8 6 4 2

Peak Units:

10

10

10

10

10

10

10

10

10

10

10

July Nov 2006

PERT CPM Resource Allocation By Prof. Nadpurohit

Men

Overallocated:

Allocated:

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RESOURCESPRIORITY RULES FOR RESOURCE LEVELLING MINIMUM SLACK FIRST: ALLOCATERESOURCES TO CRITICAL & NEAR- CRITICAL ACTIVITIES ON PRIORITY. SHORTEST TASK FIRST: ENSURES THAT MAXIMISES NUMBER OF TASKS CAN BE COMPLETED IN CERTAIN TIME PERIOD. MOST RESOURCES FIRST: ON PRESUMPTION THAT MORE IMPORTANT TASKS DEMAND MORE RESOURCES

MOST CRITICAL FOLLOWERS: TASKSPRECEDING MAXIMUM NUMBERS OF CRITICAL TASKS WILL GET PRIORITY FOR RESOURCES.

July Nov 2006

PERT CPM Resource Allocation By Prof. Nadpurohit

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RESOURCESExample:Draw a Gantt chart and Resource Graph for the Project Schedule based on the table given below and find out the following. a) Total Time for completion. b) Days of aver allocation of resources if maximum workers available are 20.Activity A B C D E F G H I JJuly Nov 2006

Immediate Predecessor A B B B C,D E F G,H,I

Duration 8 7 6 8 4 8 5 6 6 10

Allocated Workers 4 8 5 4 8 6 5 4 5 6

PERT CPM Resource Allocation By Prof. Nadpurohit

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RESOURCESA(8) 2 8 10 D(8) H(6) 3 8,11,7 I(6) F(8) 6 15 15 7 7 E(4) 5 11 15 7 21 21 C(6) 4 8,15 15 16 G(5) 20,17,21 B(7) J(10) 8 31 31

1 2,0

0 0

Resource Allocation Problem, university 2009.xls

July Nov 2006

PERT CPM Resource Allocation By Prof. Nadpurohit

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RESOURCESExample:Given below are the manpower requirement for each activity in a Project. a) Draw the network and find out Total Float and Free Float for every activity. b) The contractor stipulates that during the 1st 26 days only 4 to 5 men and during the remaining days 8 to 11 men can be made available. Rearrange the activities suitably for Leveling the manpower resource, satisfying the above condition.Activity 1-2 1-3 2-4 2-6 3-4 4-5 46 5-7 6-7 7-8July Nov 2006

Normal Times days 10 11 13 14 10 7 17 13 9PERT CPM Resource Allocation By Prof. Nadpurohit

Manpower / Day 2 3 4 3 1 3 3 5 8 11

1

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RESOURCES210 10 10 13 0 0 11 10 14

617

40 40 9

1

4

23 23 7

713

49 49

1

8

50 50

3

11 13

5

30 36

Non Critical Activity Scheduling Times and FloatActivity 1-3 2-6 3-4 4-5 5-7 Normal Time Days 11 14 10 7 13 Earliest Time Start 0 11 11 23 30 Finish 11 24 21 30 43 Latest Time Start 2 26 13 19 36 Finish 13 40 23 36 49 Total Float = Lj Ei - t 2 16 2 6 6 Free Float = Ej Ei - t 0 16 2 0 6

July Nov 2006

PERT CPM Resource Allocation By Prof. Nadpurohit

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RESOURCESNon Critical Activity Scheduling Times and Float 2 10 1 0 0 11 3 11 13 10 10 13 4 10 23 23 7 5 30 36 14 6 17 40 40 9 7 49 49 13 1 8 50 50 Activi ty 1-3 2-6 3-4 4-5 5-7 Norm al Time Days 11 14 10 7 13 Earliest Time Start Finish Latest Time Start Finish Total Float = Lj Ei - t 2 16 2 6 6 Free Float = Ej Ei - t 0 16 2 0 6

0 11 11 23 30

11 24 21 30 43

2 26 13 29 36

13 40 23 36 49

Resource Levelling Pr, uni 2010.xls

July Nov 2006

PERT CPM Resource Allocation By Prof. Nadpurohit

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RESOURCESRESOURCE LEVELLING ALGORITHM BASED ON CRITICAL TASKS FIRST RULE

July Nov 2006

PERT CPM Resource Allocation By Prof. Nadpurohit

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RESOURCES

July Nov 2006

PERT CPM Resource Allocation By Prof. Nadpurohit

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