Case 1: Determination of Float & Slack in CPM Network Calculations

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Unit No.4.
NETWORK ANALYSIS
Presented By:
Dr. V. M. Tidake
Ph. D (Financial Management), MBA(FM), MBA(HRM) BE(Chem)
Dean, EDP & Associate Professor MBA
1
Sanjivani College of Engineering, Kopargaon
Department of MBA
www.sanjivanimba.org.in

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302-DECISION SCIENCE
Unit No.4. Network Analysis
4.11 Case 1: Determination of
Float/Slack in CPM Network
CalculationsPresented By:
Dr. V. M. Tidake
Ph. D (Financial Management), MBA(FM), MBA(HRM) BE(Chem)
Dean EDP & Associate Professor MBA
2
Sanjivani College of Engineering, Kopargaon
Department of MBA
www.sanjivanimba.org.in

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NETWORK ANALYSIS
 At the End of the Session Student will be able to
understand-
A. Case 1: Determination of Float/Slack in CPM Network
Calculations

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NETWORK CALCULATIONS
The following table gives the activities in a construction project and
other relevant information-
1. Draw the Network for the project
2. Find the Critical Path
3. Determine the expected project completion time
4. Prepare an activity schedule showing ES, EF, LS, LF and float.
Activity Duration (Days)
1-2 20
1-3 25
2-3 10
2-4 12
3-4 6
4-5 10

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DETERMINATION OF FLOAT/SLACK
1 20
10
1012
6
2
3
4 5
25

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DETERMINATION OF FLOAT/SLACK
Activity Duration
tij
EST
ESij = Ei
EFT
EFij = ESij + tij
LST
LSij = LFij - tij
LFT
LFij = Lj
1-2 20 0 20 0 20
1-3 25 0 25 5 30
2-3 10 20 30 20 30
2-4 12 20 32 24 36
3-4 6 30 36 30 36
4-5 10 36 46 36 46

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DETERMINATION OF FLOAT/SLACK
1
0 0
20
10
1012
6
2
20 20
3
5 5
4
36 36
5
46 46
25

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DETERMINATION OF FLOAT/SLACK
Activity Duration
tij
Total Float
TFij = LSij - ESij
Head Slack
Sj = Lj - Ej
Free Float =
Total Float –
Head Slack
Tail Slack
Si = Li - Ei
Independent
Float=
Free Float –
Tail Slack
1-2 20 0 – 0 = 0 20 – 20 = 0 0 – 0 = 0 0 – 0 = 0 0 – 0 = 0
1-3 25 5 – 0 = 5 30 – 30 = 0 5 – 0 = 5 0 – 0 = 0 5 – 0 = 5
2-3 10 20 – 20 = 0 30 – 30 = 0 0 – 0 = 0 20 – 20 = 0 0 – 0 = 0
2-4 12 24 – 20 = 4 36 – 36 = 0 4 – 0 = 0 20 – 20 = 0 4 – 0 = 4
3-4 6 0 0 0 0 0
4-5 10 0 0 0 0 0

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EXERCISE
 Solve the Case 1: Determination of Float/Slack in
Critical Path Method with Network Calculations.

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For More Details Contact
Dr. V M Tidake
tidkevishal@gmail.com
tidkevishalmba@sanjivani.org.in

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Thank You