Jawaharlal Nehru Technological University Hyderabad 2006 B.E Computer Science IV / I CSE SET2 REG[ MATHEMATICAL MODELLING AND SIMULATION ] - Question Paper

Code No: RR410508 Set No. 2
IV B.Tech I Semester Regular Examinations, November 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) What is simplex? Write the steps used in the simplex method. [Marks4]
(b) Express the subsequent L. P. issue in standard from: [Marks12]
Minimize z = x1 - 2x2 + x1
subject to the constraints:
2x1 + 3x2 + 4x3 = -4
3x1 + 5x2 + 2x3 = -7
x1 = 0, x2 = 0 and x3 is unrestricted in sign.
2. Solve the subsequent transportation: [Marks 16]
1 2 3 four Supply
1 2 3 1 1 7 6
2 1 0 6 1 1
3 5 8 15 9 10
Requirement seven 5 3 2
3. (a) elaborate the kinds of inventory? Why they are maintained? [Marks 6]
(b) A particular item has a demand of 9,000 units/year. The cost of 1 procurement 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. [Marks10]
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 Re. 1.
4. Make an ABC analysis for the subsequent items in a store and construct the ABC analysis chart
[Marks16]
5. (a) describe Queue. discuss briefly the main characteristics of queuing system. [Marks 8]
(b) What is queuing problem? discuss the transient and steady states of queuing system.
[Marks 8]
6. (a) describe the term direct cost and indirect cost as applicable to cost of a project.
[Marks 4]
(b) What do you understand by optimum cost and optimum duration? Draw a typical cost-duration, curve as applicable to PERT AND CPM. [Marks 12]
7. (a) discuss the role of state descriptor in discrete system simulation [Marks 6]
(b) describe the terms [Marks 6]
i. Discrete event
ii. Simulation time
iii. Clock time
(c) discuss the representation of time in discrete system simulation. [Marks 4]
8. explain the steps in the development of a useful model of input data with suitable example. [Marks 16]

Earning:   Approval pending.