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Bsor Record Riddhi Jain

The document describes two problems involving network analysis techniques. The first uses regression analysis to find the regression equations relating age and blood pressure for a dataset of 8 people. It then uses the equations to estimate the blood pressure of a 49 year old. The second constructs a network chart for a project with 8 activities and calculates the earliest start, earliest finish, latest start, latest finish, total float and free float for each activity to determine the critical path and project duration. The third similarly constructs a network for a project but uses the PERT technique, calculating the expected duration and variance of the project length based on optimistic, most likely and pessimistic estimates provided for each activity.

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Riddhi Jain
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26 views8 pages

Bsor Record Riddhi Jain

The document describes two problems involving network analysis techniques. The first uses regression analysis to find the regression equations relating age and blood pressure for a dataset of 8 people. It then uses the equations to estimate the blood pressure of a 49 year old. The second constructs a network chart for a project with 8 activities and calculates the earliest start, earliest finish, latest start, latest finish, total float and free float for each activity to determine the critical path and project duration. The third similarly constructs a network for a project but uses the PERT technique, calculating the expected duration and variance of the project length based on optimistic, most likely and pessimistic estimates provided for each activity.

Uploaded by

Riddhi Jain
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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2313721096130 RIDDHI JAIN

9. REGRESSION
The following table shows the age (X) and blood pressure (Y) of 8 persons:
X 52 63 45 36 72 65 47 25
Y 62 53 51 25 79 43 60 33
Obtain the regression equations and find the expected blood pressure of a
person who is 49 years old.
CODING:
x=c(52,63,45,36,72,65,47,25)
y=c(62,53,51,25,79,43,60,33)
R1=lm(x~y)
R1
R2=lm(y~x)
R2

OUTPUT:
Reg=(0.7684*49)=11.8515
Reg x=0.6488y+17.6999 y=0.7684x+11.8515
2313721096130 RIDDHI JAIN

10. CRITICAL PATH METHOD:


Construct the network for the project whose activities are given below and compute the ES, EF, LS,
LF, Total float and Free float of each activity and hence determine the critical path and the project
duration.

Activity 1-2 2-3 3-4 3-7 4-5 4-7 5-6 6-7


Duration 3 4 4 4 2 2 3 2
AIM:
To Calculate the ES, EF, LS, LF, Critical Path, Project Duration, Total Float (TF) & Free Float (FF) for the
given problem.
ALGORITHM:

• Click on Start – All programs – TORA

• Click on “Click Here” on the first page

• In the main menu click – “Project Planning” – Critical Path Method and then click “Go to Input
Screen”

• Enter the problem title as CPM and press Enter

• Enter all the values in the input grid

• Click on “Solve Menu” and press “No” in the save dialogue box

• Click on “Go to Output Screen”

• In the output screen, select “CPM Bar Chart”

• The output is displayed.

PROJECT NETWORK:
2313721096130 RIDDHI JAIN

OUTPUT: CPM BAR CHARTS


2313721096130 RIDDHI JAIN

OUTPUT:
ACTIVITY DURATION EARLIEST LATEST EARLIEST LATEST TOTAL FREE
(WEEKS) START FINISH FINISH START FLOAT FLOAT
1-2 3 0 0 3 0 0 0
2-3 4 3 3 7 3 0 0
3-4 4 7 7 11 7 0 0
3-7 4 7 7 11 14 7 7
4-5 2 11 11 13 11 0 0
4-7 2 11 11 13 16 5 5
5-6 3 13 13 16 13 0 0
6-7 2 16 16 18 16 0 0

RESULTS:
CRITICAL PATH: 1-2-3-4-5-6-7

PROJECT DURATION: 18 WEEKS


2313721096130 RIDDHI JAIN

11 PROGRAMME EVALUATION REVIEW TECHNIQUE [PERT]:


Construct the network for the project whose activities and the three estimates (in weeks) are given
below.

Compute

i. Expected duration
ii. Expected variance of project length
Activity 1-2 1-3 1-4 2-4 2-5 3-5 4-5
To 2 3 4 8 6 2 2
Tm 4 4 5 9 8 3 5
Tp 5 6 6 11 12 4 7
AIM:
To calculate the Expected Project Duration and Variance of the project length for the given data.

ALGORITHM:

• Click on Start – All Programs – TORA

• Click on “Click Here” on the first page

• In the main menu click – “Project Planning” – Critical Path Method and then click “Go to Input
Screen”

• Enter the problem title as PERT and press Enter

• Enter all the values in the input grid

• Click on “Solve Menu” and press “No” in the save dialogue box

• Click on “Go to Output Screen”

• In the output screen, select “PERT Calculations”

• The output is displayed.

PROJECT NETWORK:
2313721096130 RIDDHI JAIN

INPUT:

OUTPUT: PERT CALCULATIONS


2313721096130 RIDDHI JAIN

RESULTS:
CRITICAL PATH: 1-2-4-5

EXPECTED PROJECT DURATION: 17.83

EXPECTED VARIANCE OF PROJECT LENGTH: 1.1881(1.09)2


2313721096130 RIDDHI JAIN

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