Decision Analysis & Modeling June 2018 Assignment

31 Mar

Decision Analysis & Modeling

1. There is a relationship between the Primal and the Dual problem in Linear Programing Problems. In this context explain the Primal and the Dual Problem and establish the relationship between the two.

2. In Assignment Problems, often we face some additional constraints in the form of prohibited assignments. What do you understand by these prohibited assignments?

3. The owner of Fancy Goods Shop is interested to determine how many advertisements to release in the selected three magazines – A, B, and C. His main purpose is to advertise in such a way that total exposure to principal, buyers of his goods is maximised. Percentage of readers for each magazine is known. Exposure in any particular magazine is the number of advertisements released multiplied by the number of principal buyers. The following date is available:

  Magazines
Particulars A B C
Readers 1.0 lakh 0.6 lakh 0.4 lakh
Principal Buyers 20% 15% 8%
Cost per Advertisement 8,000 6,000 5,000

The budgeted amount is at the most Rs.1.0 lakh for the advertisements. The owner has already decided that magazine A should have no more than 15 advertisements and that B and C each at least 8 advertisements.

a. Identify the decision variables.

b. Formulate the problem as a Linear Programming Problem.

Determine the critical path for the project. What is the probability of completing the project in less than 25 hours

05 Oct

Decision Analysis & Modeling

1. Even though there are many auto rickshaw manufactures, two companies Bajaj and M&M, control the market in Maharashtra. If both the companies make similar design changes in their auto rickshaws in a year, their market shares will remain unchanged. Similarly if neither of them goes for any changes, then also their market shares will remain constant. But if incase one company goes for a design change and other doesn’t then the market shares are going to change, the payoff matrix for increase or decrease in market share under different possible scenarios is given below:

Bajaj
M&M No changes Small changes Major Changes
No changes 0 -4 -10
Small changes 3 0 5
Major Changes 8 1 0

 

Find the value of the game. What changes should M&M consider if this information is only available to it?

2. Using suitable examples discuss the difference between simple linear regression and logistic regression.

3. To assemble a “Drone”, Mukesh has laid out the seven major activities involved. The activities are labeled as A through G in the following table, which also shows their various completion times (in Hrs) and immediate predecessor of each activity.

Activity Most optimistic

time

Most likely time Most pessimistic time immediate

predecessor

A 1 2 3
B 2 3 4
C 4 5 6 A
D 8 9 10 B
E 2 5 8 C,D
F 4 5 6 D
G 1 2 3 E

a. Determine the expected time and variance for each activity.

b. Determine the critical path for the project. What is the probability of completing the project in less than 25 hours?

Determine the expected time and variance for each activity

05 Oct

Decision Analysis & Modeling

1. Even though there are many auto rickshaw manufactures, two companies Bajaj and M&M, control the market in Maharashtra. If both the companies make similar design changes in their auto rickshaws in a year, their market shares will remain unchanged. Similarly if neither of them goes for any changes, then also their market shares will remain constant. But if incase one company goes for a design change and other doesn’t then the market shares are going to change, the payoff matrix for increase or decrease in market share under different possible scenarios is given below:

Bajaj
M&M No changes Small changes Major Changes
No changes 0 -4 -10
Small changes 3 0 5
Major Changes 8 1 0

 

Find the value of the game. What changes should M&M consider if this information is only available to it?

2. Using suitable examples discuss the difference between simple linear regression and logistic regression.

3. To assemble a “Drone”, Mukesh has laid out the seven major activities involved. The activities are labeled as A through G in the following table, which also shows their various completion times (in Hrs) and immediate predecessor of each activity.

Activity Most optimistic

time

Most likely time Most pessimistic time immediate

predecessor

A 1 2 3
B 2 3 4
C 4 5 6 A
D 8 9 10 B
E 2 5 8 C,D
F 4 5 6 D
G 1 2 3 E

a. Determine the expected time and variance for each activity.

b. Determine the critical path for the project. What is the probability of completing the project in less than 25 hours?

To assemble a “Drone”, Mukesh has laid out the seven major activities involved

05 Oct

Decision Analysis & Modeling

1. Even though there are many auto rickshaw manufactures, two companies Bajaj and M&M, control the market in Maharashtra. If both the companies make similar design changes in their auto rickshaws in a year, their market shares will remain unchanged. Similarly if neither of them goes for any changes, then also their market shares will remain constant. But if incase one company goes for a design change and other doesn’t then the market shares are going to change, the payoff matrix for increase or decrease in market share under different possible scenarios is given below:

Bajaj
M&M No changes Small changes Major Changes
No changes 0 -4 -10
Small changes 3 0 5
Major Changes 8 1 0

 

Find the value of the game. What changes should M&M consider if this information is only available to it?

2. Using suitable examples discuss the difference between simple linear regression and logistic regression.

3. To assemble a “Drone”, Mukesh has laid out the seven major activities involved. The activities are labeled as A through G in the following table, which also shows their various completion times (in Hrs) and immediate predecessor of each activity.

Activity Most optimistic

time

Most likely time Most pessimistic time immediate

predecessor

A 1 2 3
B 2 3 4
C 4 5 6 A
D 8 9 10 B
E 2 5 8 C,D
F 4 5 6 D
G 1 2 3 E

a. Determine the expected time and variance for each activity.

b. Determine the critical path for the project. What is the probability of completing the project in less than 25 hours?

Using suitable examples discuss the difference between simple linear regression and logistic regression

05 Oct

Decision Analysis & Modeling

1. Even though there are many auto rickshaw manufactures, two companies Bajaj and M&M, control the market in Maharashtra. If both the companies make similar design changes in their auto rickshaws in a year, their market shares will remain unchanged. Similarly if neither of them goes for any changes, then also their market shares will remain constant. But if incase one company goes for a design change and other doesn’t then the market shares are going to change, the payoff matrix for increase or decrease in market share under different possible scenarios is given below:

Bajaj
M&M No changes Small changes Major Changes
No changes 0 -4 -10
Small changes 3 0 5
Major Changes 8 1 0

 

Find the value of the game. What changes should M&M consider if this information is only available to it?

2. Using suitable examples discuss the difference between simple linear regression and logistic regression.

3. To assemble a “Drone”, Mukesh has laid out the seven major activities involved. The activities are labeled as A through G in the following table, which also shows their various completion times (in Hrs) and immediate predecessor of each activity.

Activity Most optimistic

time

Most likely time Most pessimistic time immediate

predecessor

A 1 2 3
B 2 3 4
C 4 5 6 A
D 8 9 10 B
E 2 5 8 C,D
F 4 5 6 D
G 1 2 3 E

a. Determine the expected time and variance for each activity.

b. Determine the critical path for the project. What is the probability of completing the project in less than 25 hours?

Find the value of the game. What changes should M&M consider if this information is only available to it

05 Oct

Decision Analysis & Modeling

1. Even though there are many auto rickshaw manufactures, two companies Bajaj and M&M, control the market in Maharashtra. If both the companies make similar design changes in their auto rickshaws in a year, their market shares will remain unchanged. Similarly if neither of them goes for any changes, then also their market shares will remain constant. But if incase one company goes for a design change and other doesn’t then the market shares are going to change, the payoff matrix for increase or decrease in market share under different possible scenarios is given below:

Bajaj
M&M No changes Small changes Major Changes
No changes 0 -4 -10
Small changes 3 0 5
Major Changes 8 1 0

 

Find the value of the game. What changes should M&M consider if this information is only available to it?

2. Using suitable examples discuss the difference between simple linear regression and logistic regression.

3. To assemble a “Drone”, Mukesh has laid out the seven major activities involved. The activities are labeled as A through G in the following table, which also shows their various completion times (in Hrs) and immediate predecessor of each activity.

Activity Most optimistic

time

Most likely time Most pessimistic time immediate

predecessor

A 1 2 3
B 2 3 4
C 4 5 6 A
D 8 9 10 B
E 2 5 8 C,D
F 4 5 6 D
G 1 2 3 E

a. Determine the expected time and variance for each activity.

b. Determine the critical path for the project. What is the probability of completing the project in less than 25 hours?

Even though there are many auto rickshaw manufactures, two companies Bajaj and M&M, control the market in Maharashtra

05 Oct

Decision Analysis & Modeling

1. Even though there are many auto rickshaw manufactures, two companies Bajaj and M&M, control the market in Maharashtra. If both the companies make similar design changes in their auto rickshaws in a year, their market shares will remain unchanged. Similarly if neither of them goes for any changes, then also their market shares will remain constant. But if incase one company goes for a design change and other doesn’t then the market shares are going to change, the payoff matrix for increase or decrease in market share under different possible scenarios is given below:

Bajaj
M&M No changes Small changes Major Changes
No changes 0 -4 -10
Small changes 3 0 5
Major Changes 8 1 0

 

Find the value of the game. What changes should M&M consider if this information is only available to it?

2. Using suitable examples discuss the difference between simple linear regression and logistic regression.

3. To assemble a “Drone”, Mukesh has laid out the seven major activities involved. The activities are labeled as A through G in the following table, which also shows their various completion times (in Hrs) and immediate predecessor of each activity.

Activity Most optimistic

time

Most likely time Most pessimistic time immediate

predecessor

A 1 2 3
B 2 3 4
C 4 5 6 A
D 8 9 10 B
E 2 5 8 C,D
F 4 5 6 D
G 1 2 3 E

a. Determine the expected time and variance for each activity.

b. Determine the critical path for the project. What is the probability of completing the project in less than 25 hours?

Decision Analysis & Modeling

05 Oct

Decision Analysis & Modeling

1. Even though there are many auto rickshaw manufactures, two companies Bajaj and M&M, control the market in Maharashtra. If both the companies make similar design changes in their auto rickshaws in a year, their market shares will remain unchanged. Similarly if neither of them goes for any changes, then also their market shares will remain constant. But if incase one company goes for a design change and other doesn’t then the market shares are going to change, the payoff matrix for increase or decrease in market share under different possible scenarios is given below:

Bajaj
M&M No changes Small changes Major Changes
No changes 0 -4 -10
Small changes 3 0 5
Major Changes 8 1 0

 

Find the value of the game. What changes should M&M consider if this information is only available to it?

2. Using suitable examples discuss the difference between simple linear regression and logistic regression.

3. To assemble a “Drone”, Mukesh has laid out the seven major activities involved. The activities are labeled as A through G in the following table, which also shows their various completion times (in Hrs) and immediate predecessor of each activity.

Activity Most optimistic

time

Most likely time Most pessimistic time immediate

predecessor

A 1 2 3
B 2 3 4
C 4 5 6 A
D 8 9 10 B
E 2 5 8 C,D
F 4 5 6 D
G 1 2 3 E

a. Determine the expected time and variance for each activity.

b. Determine the critical path for the project. What is the probability of completing the project in less than 25 hours?