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DRIVE
SPRING 2016
PROGRAM
MBA
SEMESTER
II
SUBJECT
CODE &
NAME
MB0048
OPERATIONS
RESEARCH
1
Discuss the various stages involved in the methodology of Operations Research.
Briefly explain the techniques and tools of Operations Research.
[Operations Research Methodology-5
Techniques and tools of
Operations Research-5]
Answer: Operations Research Methodology
Definition:
The
first and the most important step in the OR approach of problem solving is to
define the problem. One needs to ensure that the problem is identified properly
because this problem statement will indicate the following three major aspects:
·
Description
of the goal or the objective of the study
·
Identification
of the decision alternative to the system
·
Recognition
of the limitations, restrictions, and requirements of the system
Construction:
2 a.
Explain the steps involved in linear programming problem formulation. Discuss
in brief the advantages of linear programming.
b. Alpha
Limited produces & sells two different products under the brand names black
& white. The profit per unit on these products in Rs. 50 & Rs. 40
respectively. Both the products employ the same manufacturing process which has
a fixed total capacity of 50,000 man-hours. As per the estimates of the
marketing research department of Alpha Limited, there is a market demand for
maximum 8,000 units of Black & 10,000 units of white. Subject to the
overall demand, the products can be sold in any possible combination. If it
takes 3 hours to produce one unit of black & 2 hours to produce one unit of
white, formulate the model of linear programming.
[Steps involved in LPP-4
Advantages of LPP-3
Formulation of LPP-3]
Answer: a) The procedure for
mathematical formulation of a linear programming problem consists of the
following major steps:
1.
Study
the given situation to find the key decisions to be made
2.
Identify
the variables involved and designate them by symbols xj(j=1,2….)
3.
State
3. a.
What is degeneracy in transportation problem? How it can be resolved?
b. Solve
the following transportation problem using Vogel’s approximation method.
|
Factories
|
Distribution
Centres
|
Supply
|
|||
|
C1
|
C2
|
C3
|
C4
|
||
|
F1
|
3
|
2
|
7
|
6
|
50
|
|
F2
|
7
|
5
|
2
|
3
|
60
|
|
F3
|
2
|
5
|
4
|
5
|
25
|
|
Requirements
|
60
|
40
|
20
|
15
|
|
[Degeneracy in transportation
problem and resolving it-5
Computation/Solution to the
problem-5]
Answer: a) Degeneracy in transportation problem
A basic solution to an m-origin,
n destination transportation problem can have at the most m+n-1 positive basic
variables (non-zero), otherwise the basic solution degenerates. It follows that
whenever the number
4. a.
Explain the steps in Hungarian method. Differentiate between Transportation and
Assignment problem.
|
|
J1
|
J2
|
J3
|
J4
|
|
M1
|
10
|
9
|
8
|
7
|
|
M2
|
3
|
4
|
5
|
6
|
|
M3
|
2
|
1
|
1
|
2
|
|
M4
|
4
|
3
|
5
|
6
|
[Steps in Hungarian method-3
Differences between
Transportation and Assignment problem-3
Computation/Solution to the
problem-4]
Answer: a) 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
5.
Define Simulation. Explain the Simulation procedure. Discuss the use of
Simulation with an example.
[Meaning of Simulation-2
Simulation procedure-4
Use of simulation with an example-4]
Answer: Simulation is the
process of defining a model of a real system and conducting experiments with
this model for the purpose of understanding the behaviour (within the limits
imposed by a criterion or a set of criteria) for the operation of a system
Simulation
6.
Explain the following:
a. Economic
Order Quantity( EOQ)
b. PERT
and CPM
c.
Operating Characteristics of a Queuing System
[Explanation of Integer programming
model-4
Explanation of PERT and CPM-3
Explanation of Operating
Characteristics of a Queuing System-3]
Answer: a) Economic Order Quantity( EOQ)
The Economic Order Quantity (EOQ)
is the number of units that a company should add to inventory with each order
to minimize the total costs of inventory—such as holding costs, order costs,
and shortage costs. The EOQ is used as part of a continuous review inventory
system in which the level of inventory
Get fully solved assignment. Buy online from website
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we will revert you within 2-3 hour or immediate
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125/subject and rs 700/semester only.
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call us on 08791490301, 08273413412
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