1(a) What
are the elements of a system? Explain briefly. (6 Marks)

(b)
Explain about the environment in which the problem is formulated. (6
Marks)

(c)
Discuss the hierarchical nature of engineering problems. Explain the
“need statement”. (8 Marks)

2(a)
Explain the purpose, scope and applicability of System Development
Life Cycle. (8 Marks)

(b) What
is system documentation? Explain. (4 Marks)

(c)
Differentiate between physical and mathematical model. (4 Marks)

(d)
Briefly explain the need for modeling. (4 Marks)

3(a) What
is the necessity of mathematical formulation in system design? (6
Marks)

(b) What
is the difference between AON and AOA in network convention? (4
Marks)

(c) What
are the basic characteristics of a linear programming problem?(4
Marks)

(d) Solve
the LPP by big M method:

Min.z =
2x

_{1}+5x_{2}
Subject
to constraints

x

_{1}+x_{2}=100
x

_{1}≤40
x

_{2}≤30
x

_{1},x_{2}≥0 (6 Marks)
4(a) List
out different engineering optimization applications. (6 Marks)

(b)
Maximize the profit for the following function
20x

_{1}+36x_{2}+4x_{1}x_{2}-4x_{1}^{2}-3x_{2}^{2}
Where x

_{1}is the labour cost and x_{2}the item cost. (6 Marks)
(c) What
are the stages of evaluation? Explain with practical example. (8
Marks)

5 (a)
Discuss the steps in decision making. (6 Marks)

(b)
Explain EMV and decision theory. (6 Marks)

(c) An
investor has two independent options A and B, but he lacks the
capital to undertake both of them simultaneously. He may choose
option A first and if A is successful, then he may go for option B
and Vice versa, The probability pf success for A is 65% while for B
it is 45%. The initial investment required for both is of Rs2500, and
both return nothing if the venture is unsuccessful. Successful
completion of A will return Rs 4500 (over cost) and successful
completion of B will return Rs.6500 (over cost). Find the best
strategy and make the decision tree for the investor. (8 Marks)

6 (a)
What is reliability? Discuss various reliability models used in
practice for maintenance of equipment. (6 Marks)

(b)
Briefly discuss the sources from where reliability data can be
obtained. (4 Marks)

(c) Why
does the failure pattern of equipment not remain uniform throughout
its life? Explain. (6 Marks)

(d) A
system consists of four components connected in series with failure
rates of 0.75, 1, 0.1 and 0.1. Compute the probability of their
failure after six months. (4 Marks)

7 (a)
What are the stimulation models? Explain. (6 Marks)

(b) What
is the importance of system concepts in project planning? (6 Marks)

(c)
Customers arrived at ticket counter for the required service. Assume
that inter arrival and service times are constant and given by 1.6
and 3.8 time units respectively. Simulate the system for 14 time
units. What is the average waiting time per customer? What is the
percentage idle time of the facility? Assume that the system starts
at t = 0. (8 Marks)

8 (a)
Discuss the principle and advantages of group technology coding. (6
Marks)

(b)
Discuss the relevance of FMS from the point of view of work centre
utilization. (4 Marks)

(c) What
are the barriers to Concurrent Engineering? (4 Marks)

(d) What
are the techniques of Quality Function Deployment (QFD)? (6 Marks)

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