5 a)
b)

6

7 2)
b)

8 a)
b)

9 2)

03000ME372052005

given in the cells. Find out the optimum assignment that will maximize the profit.

Jobs /
Workers

10 | 20 | 18 |

PART 8
Answer any three full questions, each carries 10 marks.
What is meant by sequencing? List the assumptions of sequencing.
There are six jobs, which are to be processed on two machines A and B in the

order A - 8. The time for the respective operations are given in the table:

Machines Jobs

Find the optimal sequence, total elapsed time and delays if any?

Duration of the activities of a project are given in the table:

Activity : 1-2 1-4 1-7 2-3 3-6 45 48 56 69 7-8 8-9
Duration : 3 2 1 3 2 4 6 5 4 4 5

i) Draw the network.

ii) Determine the total float.

iii) Mark the critical activities and determine the project completion time.
Give the general representation of M-M-1 Queue model.

At a one man barber shop, customers arrive according to the Poisson distribution
with a mean arrival rate of 4 per hour and his hair cutting time was exponentially
distributed with an average hair — cut taking 12 minutes. There is no restriction in
queue length. Calculate a) Expected time in minutes that a customer has to spend
in the queue. b) Fluctuations of the queue length. c) Probability that there is at
least 5 customers in the system.

Describe various costs associated with inventory.

Define Economic Order Quantity? State the assumptions of the deterministic
inventory model with instantaneous supply and no shortage and, derive the
formula for EOQ for the above model.

PART C
Answer any four full questions, each carries 10 marks.
Illustrate the situations of decision making under risk and decision making under

uncertainty with examples.

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