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Posted By: Sri Member Level: Gold Posted Date: 18 Nov 2007
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2006 Jawaharlal Nehru Technological University B.E Computer Science IV / I CSE SET2 REG[ MATHEMATICAL MODELLING AND SIMULATION ] Question paper
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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: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
******
1. (a) What is simplex? Write the steps used in the simplex method. [Marks4]
(b) Express the following L. P. problem 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 following transportation: [Marks 16]
1 2 3 4 Supply
1 2 3 1 1 7 6
2 1 0 6 1 1
3 5 8 15 9 10
Requirement 7 5 3 2
3. (a) What are the types of inventory? Why they are maintained? [Marks 6]
(b) A particular item has a demand of 9,000 units/year. The cost of one 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 between orders
iv. total cost per year if the cost of one unit is Re. 1.
4. Make an ABC analysis for the following items in a store and construct the ABC analysis chart
[Marks16]
5. (a) Define Queue. Explain briefly the main characteristics of queuing system. [Marks 8]
(b) What is queuing problem? Explain the transient and steady states of queuing system.
[Marks 8]
6. (a) Define 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) Explain the role of state descriptor in discrete system simulation [Marks 6]
(b) Define the terms [Marks 6]
i. Discrete event
ii. Simulation time
iii. Clock time
(c) Explain the representation of time in discrete system simulation. [Marks 4]
8. Discuss the steps in the development of a useful model of input data with suitable example. [Marks 16]
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