Jawaharlal Nehru Technological University Hyderabad 2006 B.E Computer Science mathematical modelling and simulation(MMS) ch- - Question Paper

(b) The subsequent thirty numbers represent the annual value in thousand of ru-
pees of a few thirty items of materials opted at random. Carry out an ABC
analysis and list out the values of ‘A’ items only: [10]
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Code No: RR410508 Set No. 2
1 two four nine 75 four 25
3 six 13 two four 12 30
100 two seven 40 15 55 1
11 15 eight 19 one 20 1
3 5
5. Consider a self service store with 1 cashier. presume poisson arrivals and ex-
ponential service times. Suppose that a customer arrive on the avg. every 5
minutes and the cashier can serve 10 in five minutes. obtain [16]
(a) The avg. number of customers queuing for service
(b) The probability of having more than 10 customers in the system
(c) The probability that a customer has to queue for more than two minutes
If the service can be speeded upto 12 in five minutes by using a dierent cash register,
what will be the eect on the volumes (a), (b) and (c)
6. discuss the rules of net work construction and Fulkerson’s rule for numbering the
events. [16]
7. (a) elaborate the advantages and disadvantages of simulation. [8]
(b) explain any 4 application areas of simulation. [8]
8. discuss the iterative process of calibrating a model with a schematic diagram. [16]
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Code No: RR410508 Set No. 3
IV B.Tech I Semester Supplementary Examinations, March 2006
MATHEMATICAL MODELLING & SIMULATION
( Common to Computer Science & Engineering and Electronics &
Computer Engineering)
Time: three hours Max Marks: 80
ans any 5 ques.
All ques. carry equal marks
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1. (a) describe slack and surplus variables as involved in the L. P. P. How are these
variables useful in solving a L. P. P. [4]
(b) Solve the subsequent L. P. P. by simplex method : [12]
Maximize z = 4x1 + x2 + 4x3 + 5x4
subject to the constraints
4x1 + 6x2 - 5x3 + 4x4  -20
3x1 - 2x2 + 4x3 + x4  10
8x1 - 3x2 - 3x3 + 2x4  20
and x1, x2, x3, x4  0.
2. (a) What is an assignment problem? discuss. [6]
(b) A departmental head has 4 subordinates, and 4 tasks to be performed.
The subordinates dier in eciency, and tasks dier in their intrinsic diculty.
His estimate, of the time every man would take to perform every task, is provided
in the matrix below: [10]
Tasks Men
E F G H
A 18 26 17 11

Earning:   Approval pending.