MODELING & SIMULATION

MODELING & SIMULATION
SEM V, 2012-13
B.TECH
UTTARAKHAND TECHNICAL UNIVERSITY
(UTU)

Time : 3 Hours 

Total marks : 100

UNIT-1

Attempt any four of the following:

5*4=20

1. Define simulation. What are the advantages and disadvantages of simulation?
2. What do you mean by system modeling? What is the need for system modeling?
3. Discuss the concepts in discrete event simulation.
4. Discuss various time event mechanisms.
5. Monte Carlo Simulation as a special case of stochastic simulation? Comment.
6. Discuss the concepts in continuous simulation.

UNIT-2

Attempt any two of the following:

10*2=20

1. (i)Discuss any five blocks in GPSS. (ii)Discuss process oriented programming.
2. The sequence of numbers 0.54, 0.73, 0.98, 0.11 and 0.68 has been generated. Use the Kolomogorov- Smirnov test with  α = 0.05 to determine if the hypothesis that the numbers are uniformly distributed on the interval [0, 1] can be rejected
3. Explain the linearity congruential method. Using the linear congruential method, generated a sequence of random numbers with  x ₀ = 27, a=17, c= 43  and m=100.

UNIT-3 

Attempt any two of the following: 

10*2=20

1. Suggest a step by step procedure to generate random variates using inverse transform technique for exponential distribution. Enlist the steps involved in development of a useful model of input data.
2. Explain Chi-square goodness of fit test. Apply it to Poisson assumption with  α = 3.64. Data size= 100 and observed frequency  O_i= 12, 10, 19, 17, 10, 8, 7, 5, 5, 3, 3, 1.
3. Explain Chi-square goodness- of- fit test for exponential distribution, with an example.

UNIT-4

Attempt any two of the following:

10*2=20

1. Explain the characteristic of queuing models. List different queuing notations.
2. Explain any two long-run measures of performance of queuing models.
3. Discuss Little's theorem. Discuss the analytical results  for M/M/1, M/M/1/N, M/M/C, and M/G/1 Queuing Models.

UNIT-5

Attempt any two of the following:

10*2=20

1. What is the method of testing random number generation of non uniformly distributed random numbers?
2. Explain uniformly and independent testing.
3. Explain the acceptance- rejection technique. Generate 5 Poisson's variates with mean =0.25.

........................................