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DRIVE- Summer 2015
PROGRAM-MBADS / MBAN2 / MBAHCSN3
/ PGDBAN2 / MBAFLEX
SEMESTER- II
SUBJECT CODE & NAME- MB0048
OPERATIONS RESEARCH
Q1.
What are the features of operations research? What are the limitations of
operations research?
(List
and explain any five features of operations research, List and explain the five
limitations of operations research) 5, 5
Answer:
List
and explain any five features of operations research:
·
OR
is system-oriented. OR scrutinises the problem from an organisation’s
perspective. The results can be optimal for one part of the system, while the
same can be unfavourable for another part of the system.
·
OR
imbibes an inter–disciplinary team approach. Since no single individual can
have a thorough knowledge
Q2.
a. Explain the graphical method of solving Linear Programming Problem.
b.
A furniture manufacturing company plans to make two products: chairs and
tables- from its available resources, which consists of 400 board feet of
mahogany timber and 450 man-hours of labour. It knows that to make a chair
requires 5 board feet and 10 man-hours and yields a profit of Rs.45 while each
table uses 20 board feet and 15 man-hours and has a profit of Rs.80.
Formulate
the LPP to maximise the profit.
Answer:
a)
Graphical Methods to Solve LPP
While obtaining the optimal
solution to an LPP by the graphical method, the
statement of the following
theorems of linear programming is used:
·
The collection of all feasible solutions to an LPP
constitutes a convex set whose extreme points correspond
Q3. a. List the steps of the Vogel’s
Approximation Method(VAM) to find the initial feasible solution.
b. The XYZ
manufacturing company has a current transportation schedule which is being
questioned by the top management as to whether or not it is optimal. The firm
has 3 factories and 5 warehouses. The unit transportation costs (in Rs.),
factory capacities, and ware house requirements are given below. Find the
initial feasible solution using Vogel’s Approximation Method (VAM).
Answer:
a)
Vogel’s
approximation method
The
Vogel’s approximation method (VAM) takes into account not only the least cost
cij, but also the cost that just exceeds cij. The steps of the method
are given as follows:
Step 1 - For each row of the
transportation table, identify the smallest and the next to smallest costs.
Determine the difference between them for each row. Display them alongside the
transportation table by enclosing
Q4.
a.
What is Integer Programming Problem (IPP) ?
b.
Explain Gomory’s all integer algorithm of an IPP.
(Define
Integer Programming Problem(IPP)
List
the types of Integer Programming Problem(IPP)
List and briefly explain the steps of
Gomory’s all integer algorithm of an IPP) 1, 1, 8
Answer:
Define Integer
Programming Problem:
The IPP is a special case of Linear Programming
Problem (LPP), where all or some variables are constrained to assume
non-negative integer values. In LPP, the decision variables as well as slack or
surplus variables were allowed to take any real or fractional value. However,
there are certain real life problems in which the fractional value of the
decision variables has no significance. For example, it does not make sense
saying 1.5 men working on a project or 1.6 machines in a workshop. The integer
solution
Q5. A) Explain Monte Carlo Simulations.
Answer: Monte Carlo simulations, a
statistical technique used to model probabilistic (or “stochastic”) systems and
establish the odds for a variety of outcomes. The concept was first popularized
right after World War II, to study nuclear fission; mathematician Stanislaw
Ulam coined the term in reference to an uncle who loved playing the odds at the
Monte Carlo casino (then a world symbol of gambling, like Las Vegas today).
Today there are multiple types of Monte Carlo simulations, used in fields from
particle physics to engineering, finance and more.
To get a handle on a Monte Carlo simulation, first consider a scenario where we do not need one: to predict events in a simple, linear system. If you know the precise direction and velocity at which a shot put leaves an Olympic athlete’s hand, you can use a linear equation to accurately forecast how far it will fly.
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.
Answer.
Production rate and
probability
|
Production
rate
|
Probability
|
Comulative
probability
|
Random
number assigned
|
|
147
|
0.05
|
0.05
|
00-04
|
|
148
|
0.10
|
0.15
|
05-14
|
Q6.
a. Explain the dominance principle in game theory.
b. Describe the Constituents of a Queuing System.
c. Differentiate between PERT and
CPM
a.
Dominance
In a rectangular game, the
pay-off matrix of player A is pay-off in one specific row ( r row ) th exceeding the
corresponding pay-off in another specific row( s row ) th . This means that whatever course of
action is adopted by player B, for A, the course of action Ar yields greater gains than the
course of action As .
Get fully solved assignment. Buy online from website
online store
or
plz drop a mail with your sub code
we will revert you within 2-3 hour or immediate
Charges rs
125/subject and rs 700/semester only.
if urgent then call us on 08791490301, 08273413412
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