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Master
of Business Administration - MBA Semester 2
MBA205-Operations Research
Set - 1
Q1. Explain Various Assumptions of
linear programming.
Linearity
Continuity
Independence
and additivity
Proportionality
Answer. Assumptions of linear
programming
Assumptions
are the conditions that need to be present for conducting an experiment or
applying a formula. For using the linear programming tool to solve a problem,
it is necessary for the problem to fulfil all the conditions (or assumptions)
of linear programming.
Q2. Write short note on
a. Concept of Duality in Linear
Programming problem. 2.5
b. North-West Corner Method in
Transportation problem 2.5
c. Benefits of holding inventory 2.5
d. Economic Order Quantity (EOQ)
model 2.5
Answer. Duality in Linear Programming
For
every Linear programming Problem, there is a corresponding unique problem
involving the same data and it also describes the original problem. The
original problem is called primal programme and the corresponding unique
problem is called Dual programme. The two programmes are very closely related
and optimal solution of dual gives complete information about
Q3. a. What is degeneracy in
transportation problem?
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 of basic cells is less than m + n – 1, the transportation
problem is a
Set - 2
Q1. The processing time of four jobs
and five machines (in hours, when passing is not allowed) is given in following
table:-
a. Find an optimal sequence for the
above sequencing problem.
b. Calculate minimum elapsed time &
idle time for machines A, B, C, D & E.
Answer.
Q2. a. Elaborate the meaning of
Simulation.
b. What are different Practical
applications of simulation?
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 manner
as the selected physical or abstract process or system behaves in reality. For
example
Q3. 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 organisation
needs to decide when the replacement of new equipment would
FALL-2018
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solved assignments at nominal price of Rs.125 each.
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