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

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. discuss the execution of simulation algorithm in [8+8=16]
(a) SIM SCRIPT
(b) GPSS
8. discuss the process of calibration and validation of simulation models. [16]
. . . . .
2 of 2
Code No: RR410508 Set No. 3
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. (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
andx1, x2 _ 0.
2. discuss briefly: [5+5+6]
(a) North - West corner rule
(b) Minimum matrix method
(c) Vogels approximation method,
for finding an initial basic feasible solution for a transportation issue.
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) define the norms you would use for controlling inventories classified by ABC
analysis. [6]
(b) Classify the subsequent 14 items ABC categories: [10]
1 of 3
Code No: RR410508 Set No. 3
Code
N Monthly Consumption (in Rs.)
O.
D-179-0 451
D-115-0 1.052
D-186-0 205
D-191 893
D-192 843
D-193 727
D-195 412
D-196 214
D-198-0 188
D-199 172
D-200 170
D-204 5,056
D-205 159
D-212 3,424
How the policies with regard to safety stocks order quantity, materials control
and inventory system will be di_erent for the items classified as A, B and C.

Earning:   Approval pending.