Jawaharlal Nehru Technological University Hyderabad 2005 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 2005
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. Illustrate graphically the subsequent special cases of L. P. P. [6+5+5=16]
(a) Multiple optimal solutions
(b) Feasible solutions
(c) Unrestricted variable.
2. Solve the subsequent transportation: [16]
1 two three four Supply
1 two three 11 seven 6
2 one 0 six one 1
3 five eight 15 nine 10
Requirement seven five three 2
3. (a) elaborate the kinds of inventory? Why they are maintained? [6]
(b) A particular item has a demand of 9,000 units/year. The cost of 1 pro-
curement is Rs. 100 and the holding cost per unit is Rs. 2.40 per year. The
replacement is instaneous and no shortages are allowed determine. [10]
i. the economic lot size
ii. the number of orders per year
iii. the time ranging from orders
iv. total cost per year if the cost of 1 unit is Rs. 1.
4. (a) State different kinds of items in inventory control techniques. [6]
(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]
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. With respect to queuing theory, discuss the subsequent [8+8=16]
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Code No: RR410508 Set No. 1
(a) Cost models in queuing theory
(b) Non-poisson queues.
6. A project has the subsequent characteristics [16]
Activity Optimistic time pessimistic time Most likely time
(days) (days) (days)
1-2 one five 1.5
2-3 one three 2
2-4 one five 3
3-5 three five 4
4-5 two four 3
4-6 three seven 5
5-7 four six 5
6-7 six eight 7
7-8 two six 4
7-9 five eight 6
8-10 one three 2
9-10 three seven 5
Construct a PERT Network. obtain the critical path and variance for every event.
obtain the project duration at 95% probability.
7. (a) What is a pseudo-random number generator? How to construct it? [6]
(b) What is an inverse transformation method? Where do you use it? [4]
(c) provide any random number generation algorithm [6]
8. (a) Distinguish model verification and validation [4]
(b) discuss conceptual and operational model-building process. [12]
. . . . .
2 of 2
Code No: RR410508 Set No. 2
IV B.Tech I Semester Regular Examinations, November 2005

Earning:   Approval pending.