Simulation Techniques Sept/Oct 1999

Part A
1    a)   What is simulation?                                         2
	b)	Define with example:								18	
                 i ) System            iv ) Activities
                ii ) Entities           v ) Events
               iii ) Attributes        vi ) State variables

2    a) Differentiate between:                                      12
     i)   Closed system and Open system.     
     ii)  Endogenous and Exogenous activities.
     iii) Static and Dynamic simulation model.
     iv) Stochastic and Deterministic simulation model.
     b) Discuss corporate model.                                    8 

3    a) Explain distributed log models. Draw a cobweb model for a market
     defined by:    12
			S= 1 +0.9 P-1
			D= 12.4 - 1.2 P
			S - Supply 
                        D - Demand     Assume market is always cleared.
			P - Price
     b) Explain the steps in a simulation study.                                             8

4    a) Discuss different useful statistical models.                          9
     b) What is multiplicative and mixed congenital method for generating
     random numbers.6
     c) What are the desired characteristics of the methods used to generate
     random number?5
5    a) Explain Poission distribution.                                   4 
     b) Explain how to generate random numbers following Poission
     distribution.	  	6
     c) The number of customer arriving at a facility for service between
     10 a.m. and 11 a.m. is a random variable (say x1) with mean 2.
     Similarly the number of customers arriving between 11 a.m. and 12 noon
     is (say x2) with mean 6. x1 and x2 are independent. Find the probabilty
     that:
       i)   Exactly  5 customers will come between 10 - 12 noon.
      ii) More than 5 customers will come between 10 a.m. and 12 noon. 

                                  Part B                   

6    a) Explain with algorithm simulation of single queue single server.
     10
     b) Write GPSS program for single server queue.                   10

7    a) Discuss model building, verification and validation of simulation
     models.        9
     b) Explain chi-square test.                                                             6
     c) Mention five different tests for random numbers.              5

8    Write short notes on:                                 (5 x 4) = 20
     a) Uniform distribution.
     b) Identifying the distribution, with data given.
     c) Reneging.
     d) Analog /digital simulation.
