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DRIVE
Winter
2017
PROGRAM
MBA
SEMESTER
II
SUBJECT
CODE & NAME
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
Answer: In
organisations, managers are required to make judicious use of scarce resources,
such as men, materials, machines and capital, to minimise costs and maximise
profits. A technique that is used to select the best alternative from a set of
feasible ones in situations where the
Q2.
a. Discuss the concept of
unbalanced transportation problem
b. Find the optimum
transportation cost in following table
|
D1
|
D2
|
D3
|
D4
|
SUPPLY
|
S1
|
3
|
1
|
7
|
4
|
300
|
S2
|
2
|
6
|
5
|
9
|
400
|
S3
|
8
|
3
|
3
|
2
|
500
|
DEMAND
|
250
|
350
|
400
|
200
|
|
·
Unbalanced
transportation problem
·
Optimum
allocation.
·
Optimum
transportation cost
Answer:
Unbalanced transportation
problem:
When the total supply of all the
sources is not equal to the total demand of all destinations, the problem is
an unbalanced transportation problem.
Total
3 a. Elaborate the meaning of
Simulation.
b. What are different
Practical applications of simulation
A Meaning of Simulation.
Practical applications of simulation
Answer: a) Simulation is
a representation of real-life situations. It is a method in which a replica of
a real-world process or system is developed over a period of time. The
simulated model acts in the same
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
Answer: a) An assignment
problem is a special type of transportation problem. In an assignment problem,
the
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
Answer: a) Optimism
(maximax or minimin) criterion: Here, the decision maker tries to achieve
the largest possible profit (Maximax) or minimum possible cost (minimin). If
the entries in the payoff matrix are the one which the decision maker wants as
large as possible, for example, profits or sales revenue, he/she selects the
alternative that represents the maximum of the maximum payoff. In
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
Answer: a) In an
organisation, replacement problems arise when fixed assets, such as machines,
equipment, and other tools, need to be replaced due to reduced efficiency,
failure or breakdown. Sometimes, replacement takes place when more efficient
equipment is available in the market or the maintenance of the existing
equipment is incurring a huge cost on an organisation. However, an
Dear students get fully solved assignments
Send your semester & Specialization name to our mail id :
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or
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