What do you understand by static mathematical model? Explain with example. Differentiate between stochastic and deterministic activities. [10]

Discuss the merits and demerits of system simulation. [5]

What do you mean by replication of runs. Why it is necessary? [5]

Write short notes on (any two): a. System and its environment b. Simulation run statistics [5]

Explain Markov's chain with a suitable example. [5]

Define queuing system. Explain different queuing disciplines. Also explain different performance measures for evaluation of queuing system. [10]

Difference between chi-square test and KS test for uniformity. Use KS test to check for the uniformity for the input set of random numbers given below. 0.54, 0.73, 0.98, 0.11, 0.68, 0.45. Assume level of significance to be $D_{a=0.05} => 0.565$ [10]

Use Mixed congruential method to generate a sequence of random numbers with $X_{0}$ = 27, n = 17, m = 100 and c = 43. [5]

Explain generation of non uniform random number generation using inverse method. [5]

Define arrival pattern. Explain non-stationary Poisson process. [5]

Parts are being made at the rate of one every 10 minutes. They are of two types, A and B. And are mixed randomly with about 10% being type B. A separate inspector is assigned to examine each part. Inspection of part A takes 6 ± 2 minutes. Both inspector rejects 10% of parts they inspect. Draw GPSS block diagram to simulate the above problem for 100 parts. [5]

Differentiate between validation and calibration. How can we perform validation of a model? [5]