MMPO-001 OPERATIONS RESEARCH Solved Question Paper June 2023

MMPO-001 OPERATIONS RESEARCH Solved Question Paper June 2023

OPERATIONS RESEARCH
Course Code: MMPO-001

1. What are the essential characteristics of
Operations Research ? Discuss the significance
and scope of operations research in modern
management.
2. A firm manufactures two types of products, A
and B and sells them at a profit of ` 2 on type A
and ` 3 on type B. Each product is processed on
two machines, G and H. Type A requires one
minute of processing time on G and two
minutes on H; type B requires one minute on G
and one minute on H. Machine G is available
[ 2 ] MMPO-001
for not more than 6 hours 40 minutes, while
machine H is available for 10 hours during any
working day. Formulate the problem as a linear
programming problem.
3. The assignment cost of assigning any one
operator to any one machine is given below :
Operators
I II II IV
Machine
A 10 5 13 15
B 3 9 18 3
C 10 7 3 2
D 5 11 9 7
Find the optimal assignment.
4. What is integer programming ? Discuss the
importance of integer programming models in
supporting decisions.
5. What do you mean by the Monte-Carlo
simulation method ? Discuss the steps involved
in the Monte-Carlo simulation procedure.
6. At a certain petrol pump, customers arrive
according to a Poisson process with an average
time of 5 minutes between arrivals. The service
time is exponentially distributed with mean
[ 3 ]
time = 2 minutes. On the basis of this
information, find out :
(a) What would be the average queue length ?
(b) What would be the average number of
customers in the queuing system ?
7. Write short notes on any four of the following :
(i) Applications of Operations Research
(ii) Steps in Stepping–Stone Method
(iii) Big M Method
(iv) Applications of Dynamic Programming
(v) Goal Programming