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

Code No: RR410508 Set No. 1
IV B.Tech I Semester Regular Examinations, November 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
? ? ? ? ?
1. (a) What is a model? explain different classification schemes of models. [6]
(b) obtain all basic solutions for the issue [10]
Max z = x1 + 2x2
such that
x1 + x2  10
2x1 - x2  40
and x1, x2  0.
2. (a) Distinguish ranging from pure and mixed integer programming issue. [4]
(b) obtain the optimal integer solution to the subsequent all L.P. P. [12]
Maximize z =x1 + 2x2
subject to the constraints
2x2  7
x1 + x2  7
2x1  11
x1, x2  0 and x1, x2 are integers.
3. (a) discuss the relevant costs for inventory decisions. How are these costs sought
to be controlled with the O. R. techniques? [6]
(b) A baking company sells 1 of its kinds of cake by weight. It makes a profit
of 95 paise a pound on every pound of cake sold on the day it is baked. It
disposes of all cakes not sold on the day they are baked at a loss of 15 paise
a pound. If demand is known to have probability density function:
f(R) = 0.03 - 0.0003R,
obtain the optimum amount of cake the company should bake daily. [10]
4. (a) discuss ABC analysis. [8]
(b) elaborate its advantages and limitations, if any. [8]
5. A telephone exchange has 2 long distance operators. The telephone company
obtains that, during the peak load, long distance calls arrive in a poisson fashion at a
an avg. rate of 15 per hour. The length of service on these calls is approximately
exponentially distributed with mean length of five minutes. [16]
(a) What is the probability that a subscriber will have to wait for his long distance
call during the peak hours of the day.
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Code No: RR410508 Set No. 1
(b) If the subscriber will wait and serviced in turn, what is the expected waiting
time? Establish the formula used.
6. (a) describe the terms: [8]
i. Normal cost
ii. Crash cost
iii. Normal time
iv. Crash time
(b) describe “Critical path”, “Slack time” and “Dummy activity” with reference to
PERT and CPM. How can uncertainty be incorporated in PERT models. [8]
7. Consider the multiplicative congruential generator under the subsequent circum-
stances [16]
(a) a = 11, m = 16, x0 = 7
(b) a = 11, m = 16, x0 = 8
(c) a = 7, m = 16, x0 = 7
(d) a = 7, m = 16, x0 = 8
Generate enough values in every case to complete a cycle. What inferences can be

Earning:   Approval pending.