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

Code No: RR410508 Set No. 1
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
? ? ? ? ?
1. (a) discuss briefly the general methods for solving O. R. models. [6]
(b) Ozark Farms uses at lowest 800 lb of special feed daily. The special feed is a
mixture of corn and soybean meal with the subsequent compositions.
lb per lb of feed stu
Feed Stu Protein Fiber Cost($lb)
Corn 0.09 0.02 0.30
Soybean 0.60 0.06 0.90
The dietary requirements of the special feed stipulate atleast 30% protein and at
most 5% fiber. Ozark Farms wishes to determine the daily minimum - cost feed
-mix. Formulate it as an L. P. model [10]
2. (a) State the necessary and sucient conditions in non-linear programming prob-
lem. [4]
(b) Solve the non linear programming problem: [12]
Minimize Z = 2x
2
1 - 24x1 + 2x
2
2 - 8x2 + 2x
2
3 - 12x3 + 200
subject to the constraint
x1 + x2 + x3 = 11
and x1, x2, x3  0.
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) discuss ABC analysis. [8]
(b) elaborate its advantages and limitations, if any. [8]
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]
1 of 2
Code No: RR410508 Set No. 1
(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. A PERT network has the subsequent activities with their time estimates provided below:
[16]
Activity Optimistic (days) Most likely (days) Pessimistic (days)
0-1 two 3.5 8
0-2 three 3.75 6
0-3 one 2.5 7
1-2 three 7.5 9
1-5 four 5.5 10
2-4 two five 8
3-4 two 2.75 5
3-5 three six 9

Earning:   Approval pending.