pert cpm resources
Post on 27-Aug-2014
161 Views
Preview:
TRANSCRIPT
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 1 of 17
PERT & CPM – Resource Allocation
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 2 of 17
RESOURCES ARE RESOURCES ARE ESSENTIAL TO ESSENTIAL TO
PERFORM & COMPLETE PERFORM & COMPLETE THE ACTIVITIES IN A THE ACTIVITIES IN A
PROJECTPROJECTMATERIALS are worked MATERIALS are worked upon and converted to upon and converted to PROJECT DELIVERABLES by PROJECT DELIVERABLES by the assigned MANPOWER the assigned MANPOWER using its skills & efforts using its skills & efforts with or without help of with or without help of EQUIPMENT EQUIPMENT
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 3 of 17
DRIVING RESOURCES : Decide project DRIVING RESOURCES : Decide project schedule according to rate of outputschedule according to rate of output•MANPOWER MANPOWER •EQUIPMENT / MACHINERY EQUIPMENT / MACHINERY
NON DRIVING RESOURCES NON DRIVING RESOURCES •MATERIALS MATERIALS •MONEY MONEY
RESOURCES ARE CATAGORISED AS RESOURCES ARE CATAGORISED AS
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 4 of 17
RESOURCE SCHEDULING STEPSRESOURCE SCHEDULING STEPS RESOURCE ESTIMATION: RESOURCE ESTIMATION: ESTIMATE ESTIMATE
RESOURCES REQUIRED TO ACCOMPLISH RESOURCES REQUIRED TO ACCOMPLISH INDIVIDUAL TASKSINDIVIDUAL TASKS
RESOURCE LOADING: RESOURCE LOADING: ASSESS RESOURCES ASSESS RESOURCES TO BE ORGANIZED FROM PERIOD TO PERIODTO BE ORGANIZED FROM PERIOD TO PERIOD
RESOURCE SMOOTHING: RESOURCE SMOOTHING: RESCHEDULE RESCHEDULE TASKS TO MINIMISETASKS TO MINIMISE PERIOD TO PERIOD PERIOD TO PERIOD VARIATION IN RESOURCES WITHOUT VARIATION IN RESOURCES WITHOUT AFFECTING COMPLETION DATEAFFECTING COMPLETION DATE
RESOURCE LEVELLING: RESOURCE LEVELLING: RESCHEDULE TASKS RESCHEDULE TASKS TO REMAIN WITHIN RESOURCE CONSTRAINTS TO REMAIN WITHIN RESOURCE CONSTRAINTS WITH OR WITHOUT PROJECT DELAYWITH OR WITHOUT PROJECT DELAY
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 5 of 17
ID Task Time Pred. T. Float Resource
0 PROJECT 11 days 0 days1 A 4 days 7 days Men[9]2 B 2 days 2 days Men[3]3 C 2 days 0 days Men[6]4 D 2 days 2 days Men[4]5 E 3 days 2 2 days Men[8]6 F 2 days 3 0 days Men[7]7 G 3 days 4,6 0 days Men[2]8 H 4 days 5,7 0 days Men
D-1 D1 D2 D3 D4 D5 D6 D7 D8 D9 D10 D11 D12 D13EARLY START SCHEDULE EARLY START SCHEDULE RESOURCE SMOOTHINGRESOURCE SMOOTHING
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 6 of 17
5
10
15
20
25
Peak Units:
Men Overallocated: Allocated:
D-1 D1 D2 D3 D4 D5 D6 D7 D8 D9 D10 D11 D12 D13
22 22 24 24 10 2 2 1 1 1 1
RESOURCE GRAPH FOR EARLY SCHEDULERESOURCE GRAPH FOR EARLY SCHEDULE
PEAK RESOURCE REQUIREMENT IS 24 & MINIMUM 1PEAK RESOURCE REQUIREMENT IS 24 & MINIMUM 1
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 7 of 17
INITIAL RULES FOR SMOOTHINGINITIAL RULES FOR SMOOTHING INITIAL RESOURCE LOADING TO BE INITIAL RESOURCE LOADING TO BE
BASED ON NORMAL WORK RATES BASED ON NORMAL WORK RATES & NORMAL COSTS& NORMAL COSTS
ACTIVITIES TO BE SHIFTED WITHIN ACTIVITIES TO BE SHIFTED WITHIN AVAILABLE FLOAT WITHOUT AVAILABLE FLOAT WITHOUT CHANGING THEIR NORMAL CHANGING THEIR NORMAL DURATIONSDURATIONS
ACTIVITIES ONCE STARTED CAN OT ACTIVITIES ONCE STARTED CAN OT BE INTERRUPTEDBE INTERRUPTED
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 8 of 17
ID Task Time Pred. Resource
0 PROJECT 11 days1 A 4 days Men[9]2 B 2 days Men[3]3 C 2 days Men[6]4 D 2 days Men[4]5 E 3 days 2 Men[8]6 F 2 days 3 Men[7]7 G 3 days 4,6 Men[2]8 H 4 days 5,7 Men
D-1 D1 D2 D3 D4 D5 D6 D7 D8 D9 D10 D11 D12 D13 D14 D15 D16
5
10
15
Peak Units:
Men Overallocated: Allocated:
D1 D2 D3 D4 D5 D6 D7 D8 D9 D10 D11 D12 D13
13 13 15 15 10 2 2 10 10 10 10
RESOURCE SMOOTHING – STAGE 1RESOURCE SMOOTHING – STAGE 1
SHIFT ACTIVITY ‘A’ SHIFT ACTIVITY ‘A’ PEAK RESOURCE PEAK RESOURCE REQUIREMENT REDUCES REQUIREMENT REDUCES TO 15TO 15MINIMUM REQUIREMENT MINIMUM REQUIREMENT 22
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 9 of 17
ID Task Time Pred. Resource0 PROJECT 11 days1 A 4 days Men[9]2 B 2 days Men[3]
3 C 2 days Men[6]4 D 2 days Men[4]
5 E 3 days Men[8]6 F 2 days 3 Men[7]7 G 3 days 4,6 Men[2]8 H 4 days 5,7 Men
D-1 D1 D2 D3 D4 D5 D6 D7 D8 D9 D10D11D12D13D14
5
10
15
Peak Units:
Men Overallocated: Allocated:
D-1 D1 D2 D3 D4 D5 D6 D7 D8 D9 D10 D11 D12 D13
13 13 7 7 10 10 10 10 10 10 10
SHIFT ACTIVITY ‘E’ SHIFT ACTIVITY ‘E’ PEAK RESOURCE PEAK RESOURCE REQUIREMENT REDUCES TO REQUIREMENT REDUCES TO 13,13,MINIMUM REQUIREMENT MINIMUM REQUIREMENT OF 7OF 7
RESOURCE SMOOTHING – STAGE 2RESOURCE SMOOTHING – STAGE 2
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 10 of 17
ID Task Time Pred. Resource0 PROJECT 11 days1 A 4 days Men[9]2 B 2 days Men[3]
3 C 2 days Men[6]4 D 2 days Men[4]
5 E 3 days Men[8]6 F 2 days 3 Men[7]7 G 3 days 4,6 Men[2]8 H 4 days 5,7 Men
D-1 D1 D2 D3 D4 D5 D6 D7 D8 D9 D10D11D12D13D14
2
4
6
8
10
Peak Units:
Men Overallocated: Allocated:
D-1 D1 D2 D3 D4 D5 D6 D7 D8 D9 D10 D11 D12 D13
10 10 10 10 10 10 10 10 10 10 10
SHIFT ACTIVITY ‘B’ SHIFT ACTIVITY ‘B’ RESOURCE REQUIREMENT IS RESOURCE REQUIREMENT IS UNIFORM AT 10UNIFORM AT 10
RESOURCE SMOOTHING – STAGE 3RESOURCE SMOOTHING – STAGE 3
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 11 of 17
PRIORITY RULES FOR RESOURCE PRIORITY RULES FOR RESOURCE LEVELLINGLEVELLING
MINIMUM SLACK FIRST: MINIMUM SLACK FIRST: ALLOCATE ALLOCATE RESOURCES TO CRITICAL & NEAR- CRITICAL RESOURCES TO CRITICAL & NEAR- CRITICAL ACTIVITIES ON PRIORITY.ACTIVITIES ON PRIORITY.
SHORTEST TASK FIRST: SHORTEST TASK FIRST: ENSURES THAT ENSURES THAT MAXIMISES NUMBER OF TASKS CAN BE MAXIMISES NUMBER OF TASKS CAN BE COMPLETED IN CERTAIN TIME PERIOD.COMPLETED IN CERTAIN TIME PERIOD.
MOST RESOURCES FIRST: MOST RESOURCES FIRST: ON PRESUMPTION ON PRESUMPTION THAT MORE IMPORTANT TASKS DEMAND MORE THAT MORE IMPORTANT TASKS DEMAND MORE RESOURCESRESOURCES
MOST CRITICAL FOLLOWERS: MOST CRITICAL FOLLOWERS: TASKS TASKS PRECEDING MAXIMUM NUMBERS OF CRITICAL PRECEDING MAXIMUM NUMBERS OF CRITICAL TASKS WILL GET PRIORITY FOR RESOURCES.TASKS WILL GET PRIORITY FOR RESOURCES.
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 12 of 17
Example: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 Immediate Predecessor Duration Allocated Workers
A - 8 4
B - 7 8
C A 6 5
D B 8 4
E B 4 8
F B 8 6
G C,D 5 5
H E 6 4
I F 6 5
J G,H,I 10 6
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 13 of 17
100
377
61515
72121 8
3131
51115
2810 4
1516
8,15A(8)C(6)
B(7) D(8)
E(4)
F(8)
H(6)
I(6)
G(5)
J(10)20,17,21
8,11,7
2,0
Resource Allocation Problem, university 2009.xls
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 14 of 17
Example: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 Normal Times days Manpower / Day
1 - 2 10 2
1 - 3 11 3
2 - 4 13 4
2 - 6 14 3
3 - 4 10 1
4 - 5 7 3
4 – 6 17 3
5 - 7 13 5
6 - 7 9 8
7 - 8 1 11
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 15 of 17
100
31113
42323 7
4949 8
5050
53036
21010 6
4040
1013
1011
14
17
713
9
1
Non Critical Activity Scheduling Times and Float
ActivityNormal Time
DaysEarliest Time Latest Time Total Float =
Lj – Ei - tFree Float =
Ej – Ei - tStart Finish Start Finish
1-3 11 0 11 2 13 2 0
2-6 14 11 24 26 40 16 16
3-4 10 11 21 13 23 2 2
4-5 7 23 30 19 36 6 0
5-7 13 30 43 36 49 6 6
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 16 of 17
100
31113
42323 7
4949 8
5050
53036
21010 6
4040
1013
1011
14
17
713
9
1
Non Critical Activity Scheduling Times and Float
Activity
Normal
Time Days
Earliest Time Latest Time Total Float = Lj – Ei - t
Free Float = Ej – Ei - t
Start Finish Start Finish
1-3 11 0 11 2 13 2 0
2-6 14 11 24 26 40 16 16
3-4 10 11 21 13 23 2 2
4-5 7 23 30 29 36 6 0
5-7 13 30 43 36 49 6 6
Resource Levelling Pr, uni 2010.xls
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 17 of 17
RESOURCE RESOURCE LEVELLING LEVELLING ALGORITHM ALGORITHM BASED ON BASED ON ‘CRITICAL TASKS ‘CRITICAL TASKS FIRST’ RULE FIRST’ RULE
RESOURCES
July – Nov 2006
PERT CPM – Resource Allocation By
Prof. NadpurohitSlide 18 of 17
top related