SIMULATION AND MODELING (SM) DECEMBER 2013 INFORMATION TECHNOLOGY SEMESTER 7

SIMULATION AND MODELING (SM) DECEMBER 2013 INFORMATION TECHNOLOGY SEMESTER 7

Con. 9085-13                                 (REVISED COURSE)                             LJ-14132

                                                                (3 Hours)                                    [Total Marks: 100]

N.B.: (1) Questions No.1 is compulsory.
         (2) Out of remaining questions solve any four
         (3) Assume suitable data wherever required.

1. (a) Discuss types of simulation models. [5 Marks]
    (b) Compare random numbers and random variate. [5 Marks]
    (c) How is pokers test used for testing independence? [5 Marks]
    (d) Event scheduling algorithm. [5 Marks]

2. (a) Explain the steps in simulation study in detail. [10 Marks]
    (b) An industrial chemical that will retard the spread of fire has been developed. The local
          sales representatives have determined from past experience 48% of sales call will result in
          an order.
          (i) What is probability that the first order will call on 4th sales call of the day?
          (ii) If 8 sales call are made on a day, what is the probability of receiving exactly 6 orders?
          (iii) If 4 sales call are made before lunch, what is the probability that one or less result in an
                order?

3. (a) Consider the following sequence of 5 numbers: 0.15, 0.94, 0.05 and 0.29
          Use the Kolmogorov-smirnov test determine whether the Hypothesis of uniformity can be
          rejected, given  and the critical value of D=0.565. [10 Marks]
    (b) Explain Naylor and Finger validation approach. [10 Marks]

4. (a) Explain data collection and analysis for input modeling. [10 Marks]
    (b) What are long run measures of performance of Queuing system. Assume : Ro=10, d=2 and
          So2 = 25.30. Estimate the long run mean queue length, LQ, within £=2 customers with
          90% confidence (a=10%). From the table the value of Zo.os=1.645. How many additional
          replications required? [10 Marks]

5. (a) Explain the cobweb model in detail. [10 Marks]
    (b) Explain data collection and analysis for input modeling. [10 Marks]

6. (a) What is time series input model? Explain AR(1) and EAR(1) model? [10 Marks]
    (b) A CNG station has two filling machines. The service times follows the exponential distribution
         with mean of 5 minutes and taxis arrives for service in poisson fashion at rate of 15 per hour.
         Compare the steady state parameter of this M/M/C system. [10 Marks]

7. (a) Write a short notes on : -[20 Marks]
          i) Cost of inventory system.
         ii) Poisson Process and distribution.
        iii) Terminating and non terminating simulation.
        iv) Issues in simulation of Manufacturing System.

Also see Simulation and modeling question papers for December 2010