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

4-5 two five 8
(a) Construct a network and obtain the expected completion time of the project.
(b) obtain the probability of completing the project three days ahead of the expected
schedule.
7. (a) elaborate the important techniques used in simulation ? [4]
(b) elaborate the dierent kinds of system simulation? discuss every. [8]
(c) provide the dierent ranging from simulation and analytical methods. [4]
8. Distinguish Independent sampling and correlated sampling in simulating option
system design. [16]
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Code No: RR410508 Set No. 2
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) discuss the term ’Artificial variable’ and its use in Linear programming. [4]
(b) Solve the subsequent L. P. issue by 2 - phase method: [12]
Maximize z =5x1 - 2x2 + 3x3
subject to the constraints
2x1 + 2x2 - 3x  2
3x1 - 4x2  3
2x + 3x3  5
and x1, x2, x2  0.
2. (a) How the issue of degeneracy arises in a transportation? discuss how does
one over come it? [4]
(b) Consider the subsequent unbalanced transportation problem?
1 two three Supply
1 five one seven 10
2 six four six 80
3 three two five 15
Demand 75 20 50
Since there is not enough supply, a few of the demands at these destinations
may not be satisfied. Suppose there are penalty costs for every unsatisfied de-
mand unit which are provided by 5, six and two for destination 1, two and three respectively.
obtain the optimal solution. [12]
3. (a) Derive the E. O. Q. formula for the manufacturing model with shortages [6]
(b) A manufacturing firm has to supply 3,000 units annually to a customer who
does not have enough space for storing the material. There is a contract that
if the supplier fails to supply the material, a penalty of Rs. 40 per unit per
month will be levied. The inventory holding cost amounts to Rs. 20 per unit
per month and the setup cost is Rs. 400 per run. obtain the expected number
of shortages at the end of every scheduling period. [10]
4. (a) State different kinds of items in inventory control techniques. [6]

Earning:   Approval pending.