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MBA205 & OPERATIONS RESEARCH
SET-I
1
Define the Linear programming problem in operation Research. Also, explain
various assumptions, advantages and limitations of linear programming problem.
A Linear programming
problem in operation Research
Assumptions of linear
programming problem
Advantages of linear
programming problem
Limitations of linear
programming problem
2
a. Discuss the concept of Degeneracy in transportation problem
b.
The ABC Tool Company has a sales force of 25 men who work out from Regional
offices. The company produces four basic products lines of hand tools. Mr.
Jain, the sales manager, feels that 6 salesmen are needed to distribute product
line 1, 10 salesmen are needed to distribute product line 2, 4 salesmen to
product line 3 and 5 salesmen to product line 4. The cost per day of assigning
salesmen from each of the offices for selling each of the product lines are as
follows;
|
Regional office
|
Product
Lines
|
|||
|
𝑷𝟏
|
𝑷𝟐
|
𝑷𝟑
|
𝑷𝟒
|
|
|
R1
|
20
|
21
|
16
|
18
|
|
R2
|
17
|
28
|
14
|
16
|
|
R3
|
29
|
23
|
19
|
20
|
Now,
10 salesmen are allowed to office , 9
salesmen to office 𝑹𝟐,
and 7 salesmen to office 𝑹𝟑.
How
many salesmen should be assigned from each office to selling each product line
in order to minimize costs?
Degeneracy in
transportation problem
Optimum allocation.
Optimum transportation cost
3
a. Elaborate the meaning of Simulation.
b.
What are different Practical applications of simulation
A Meaning of Simulation.
Practical applications of
simulation
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SET-II
1
a. Define the meaning of assignment problem in operation Research.
b.
A Departmental head has four subordinates and four task to be performed. The
subordinates differ in efficiency and the tasks differ in their intrinsic
difficulty. His estimate of the times each man would take to perform each task
is given in the following matrix-
|
Tasks
|
Subordinates
|
|||
|
I
|
II
|
III
|
IV
|
|
|
A
|
8
|
26
|
17
|
11
|
|
B
|
13
|
28
|
4
|
26
|
|
C
|
38
|
19
|
18
|
15
|
|
D
|
19
|
26
|
24
|
10
|
How
should the tasks be allocated to subordinates to minimize the total man-hours?
A Description of assignment
problem
Optimum allocation through
Hungarian method
2 Define following criteria’s used for decision
making under Uncertainty
a. Optimism (maximax or
minimin) criterion
b. Pessimism (maximin or
minimax) criterion
c. Equal probabilities
(Laplace) criterion
d. Coefficient of optimism
(Hurwicz) criterion
e. Regret (salvage)
criterion
3
a. Explain the importance and utility of the replacement model in business
organizations.
b.
The maintenance cost and re-sale value per year of a machine whose purchase
price is Rs. 7000 is given below-
|
Year
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
|
Maintenance cost (Rs.)
|
900
|
1200
|
1600
|
2100
|
2800
|
3700
|
4700
|
5900
|
|
Resale value (Rs.)
|
4000
|
2000
|
1200
|
600
|
500
|
400
|
400
|
400
|
Importance and utility of
the replacement model Replacement Year
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