Jawaharlal Nehru Technological University Hyderabad 2005 B.E Computer Science Jawaharlal Nehru Technological University mathematical modelling and stimulation(MMS) - Question Paper

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) provide an algorithm to solve an “Assignment” problem? [8]
(b) What is an unbalanced assignment problem? discuss it with at lowest one
example. [8]
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. In the production shop of a company, the breakdown of the machines is obtained
to be poisson with an avg. rate of three machines per hour. Breakdown time at
one machine costs Rs.40/- per hour to the company. There are 2 options before
the company for hiring the repairmen, 1 of the repairmen is slow but cheap, the
other fast but expensive. The slow-cheap repairman demands Rs.20/- per hour and
will repair the broken down machines exponentially at the rate of Rs.4/- per hour.
The fast-expensive repairman demands Rs.30/- per hour and will repair machines
exponentially at an avg. rate of Rs.6/- per hour which repairman should be
hired. [16]
1 of 2
Code No: RR410508 Set No. 2
6. (a) describe the terms: [8]
i. Normal cost
ii. Crash cost

Earning:   Approval pending.