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ASSIGNMENT
DRIVE

SPRING
2014

PROGRAM

MBADS/
MBAFLEX/ MBAHCSN3/ MBAN2/ PGDBAN2

SUBJECT
CODE & NAME

MB0048 OPERATIONS RESEARCH

SEMESTER

2

BK
ID

B1631

CREDITS

4

MARKS

60

Note:
Answer all questions. Kindly note that answers for 10 marks questions should be
approximately of 400 words. Each question is followed by evaluation scheme.
1 Discuss the various stages involved
in the methodology of Operations Research. Briefly explain the techniques and
tools of Operations Research.
Answer
: The basic dominant characteristic feature of operations research is that it
employs mathematical representations or models to analyse problems. This
distinct approach represents an adaptation of the scientific methodology used
by the physical sciences. The scientific method translates a given problem into
a mathematical representation which is solved and retransformed into the
2a. Explain the graphical method of solving Linear Programming
Problem.
Answer
: The procedure for mathematical formulation of a linear programming problem
consists of the following major steps:
A problem
consists of a linear function of variable called objective function subject to
set of linear equation or inequalities called constraints, are known as linear
programming problem.
In LP model the
various parameters namely the objective function coefficients, R.H.S,
coefficients of the constraints and resource values are certainly known and
their value do not change with time. Thus the profit or cost per unit of
product, availability of labour and material, market demand is known with
certainty
b. A paper mill produces two grades of paper viz., X and Y.
Because of raw material restrictions, it cannot produce more than 400 tons of grade
X paper and 300 tons of grade Y paper in a week. There are 160 production hours
in awake. It requires 0.20 and 0.40 hours to produce a ton of grade X and Y
papers. The mill earns a profit of Rs. 200 and Rs. 500 per ton of grade X and Y
paper
respectively. Formulate this as a Linear Programming Problem.
Answer :
Objective function is to maximize the profit
Thus Max. Z=200X_{1}+500X_{2}
Constraints 1.Raw
3 a. Explain how to solve the degeneracy in transportation
problems.
Answer
: A basic solution to an morigin, n
destination transportation problem can have at the most m+n1 positive basic
variables (nonzero), otherwise the basic solution degenerates. It follows that
whenever the number of basic cells is less than m + n – 1, the transportation
problem is a degenerate one.
The degeneracy can develop in two
ways:
Case 1 
The degeneracy develops while
b. Explain the procedure of
MODI method of finding solution through optimality test.
Answer : Transportation Algorithm for Minimization
Problem (MODI Method)
After evaluating an initial basic feasible
solution to a transportation problem, the next question is how to get the
optimum solution. The basic techniques are illustrated as follows:
1. Determine the net evaluations for the
non–basic variables (empty cells)
2. Determine the entering variable
4 a. Explain the steps involved in
Hungarian method of solving Assignment problems.
Answer : Steps in Hungarian method
Hungarian
method algorithm is based on the concept of opportunity cost and is more
efficient in solving assignment problems. The following steps are adopted to
solve an AP using the Hungarian method algorithm.
Step
1: Prepare row ruled matrix by selecting the minimum values for each row and
subtract it from the other elements of the row.
b. Find the optimal assignment of four
jobs and four machines when the cost of assignment is given by the following
table:
Answer
:
Computation/Solution to the problem:
Applying Hungarian method
Q5.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 finance,
project management, energy, manufacturing, engineering, research and
development, insurance, oil & gas, transportation, and the environment.
Monte Carlo
simulation furnishes the decisionmaker with a range of possible outcomes and
the probabilities they will occur for
b. A Company produces 150 cars. But the production rate varies
with the distribution.
Production Rate

Probability

147

0.05

148

0.10

149

0.15

150

0.20

151

0.30

152

0.15

153

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:
Production Rate

Probability

Cum. Probability

Random Numbers

147

0.05

0.05

0004

148

0.10

0.15

0514

6 a. Explain the dominance principle in game theory.
Answer : In game
theory, strategic dominance (commonly called simply dominance) occurs when one
strategy is better than another strategy for one player, no matter how that
player's opponents may play. Many simple games can be solved using dominance.
The opposite, intransitivity, occurs in games where one strategy may be better
or worse than another strategy for one player, depending on how the player's
opponents may play.
Terminology
b. Describe the Constituents of a Queuing System.
Answer
: Characteristics of a queuing system that impact its performance, for example,
queuing requirements of a restaurant will depend upon factors like:
·
How do customers arrive in the
restaurant? Are customer arrivals more during lunch and dinnertime (a regular
restaurant)? Or is the customer traffic more uniformly distributed (a cafe)?
·
How much time do customers spend in
the restaurant? Do customers typically leave the restaurant in a fixed amount
of time? Does the customer service time vary with the type of customer?
·
c. Differentiate
between PERT and CPM
Answer : 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.
As all projects
consume resources such as materials, time, people, and money; starting one
would entail an effective project management team and the right techniques to
accomplish them, especially those projects that are very
Dear
students get fully solved assignments
Send
your semester & Specialization name to our mail id :
“ help.mbaassignments@gmail.com ”
or
Call
us at : 08263069601
(Prefer
mailing. Call in emergency )
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