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Spring 2013
Master of Business
Administration- MBA Semester 1
MB0048 –Operations
Research- 4 Credits
(Book ID: B1631)
Assignment Set - 1
(60 Marks)
Note: Assignment Set -1 must be written within 6-8 pages. Answer all
questions.
Q1.Explain the scope of Operations Research. What are the features of
Operations Research?10 marks(300 - 350 words each)
Answer : Role
And Scope of Operations Research
The term operations research
originated during second world war when U.S.A and Great Britain’s Armed Forces
sought hesitance of scientists to solve complex and very difficult
strategically and tactical problems of warfare, like making mines harmless or
increasing the efficiency of antisubmarine aerial wafer etc.
Q2.Six Operators are to be assigned to five jobs with the cost of
assignment in Rs. given in the matrix below. Determine the optimal assignment.
Which operator will have no assignment?
10 marks
Operators Jobs
1 2 3 4 5
|
1
2
3
4
5
6
|
6
|
2
|
5
|
2
|
6
|
|
2
|
5
|
8
|
7
|
7
|
|
|
7
|
8
|
6
|
9
|
8
|
|
|
6
|
2
|
3
|
4
|
5
|
|
|
9
|
3
|
8
|
9
|
7
|
|
|
4
|
7
|
4
|
6
|
8
|
Q3.a. Explain the Monte Carlo Simulation.
Answer : Monte Carlo simulation is a computerized mathematical technique
that allows people to account for risk in quantitative analysis and decision
making. The technique is used by professionals in such widely disparate fields
as
b. A Company produces 150 cars. But the production rate varies with the
distribution.
|
Production Rate
|
147
|
148
|
149
|
150
|
151
|
152
|
153
|
|
Probability
|
0.05
|
0.10
|
0.15
|
0.20
|
0.30
|
0.15
|
0.05
|
At present the track will hold 150 cars. Using the following random
numbers determine the average number of cars waiting for shipment in the
company and average number of empty space in the truck. Random Numbers 82, 54,
50, 96, 85, 34, 30, 02, 64, 47.
5 +5 = 10 marks(200 - 250 words each)
Answer :
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call us at :- 08263069601
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Q4.Explain the Characteristics and Constituents of a Queuing System.10
marks(300 - 350 words each)Spring 2013
Answer : The figure shows the
basic components of a queuing system. Potential and actual customers are
represented by the small circles and may be persons, parts, machines or almost
any other quantity. The servers are represented by the numbered rectangles and
may be any resource, such as a person, machine or
Q5.a. What do you mean by dominance? State the dominance rules for rows
and columns.
Answer : a) For rows :
(I) In the payoff matrix if all the entries ·in a row i1 are
greater than or equal to the corresponding entries of another row i2, then row
i2 is said to be dominated by row I 1. In this situation row i2 of the payoff
matrix can be deleted.
b. Find the saddle point of the following game and state the optimum
strategies for players A and
A
1 2 3
4 5
|
9
|
3
|
1
|
8
|
0
|
|
6
|
5
|
4
|
6
|
7
|
|
2
|
4
|
4
|
3
|
8
|
|
5
|
6
|
2
|
2
|
1
|
1
B 2
3
4
5 +5 = 10 marks(200 - 250 words each)
Answer :
Q6.a What are the differences between PERT and CPM?
Answer : CPM vs. PERT
Project management is an
important part of every business enterprise. Whenever a new product or service
is launched; when embarking on a marketing campaign; or when organizing any new
projects; project management is needed to make everything organized and
successful.
b. A project has eleven activities whose duration is given in the following
table:
|
Activity
|
0-1
|
1-2
|
1-3
|
2-4
|
2-5
|
3-4
|
3-6
|
4-7
|
5-7
|
6-7
|
7-8
|
|
Duration
(days)
|
2
|
8
|
10
|
6
|
3
|
3
|
7
|
5
|
2
|
8
|
3
|
I. Draw the network
ii. Identify the critical activities and critical path. 5 +5 = 10 marks
(200 - 250 words each)
Answer : 1. Critical path 1-3-6-9
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