## Computer Simulation & Modelling - Dec 2012

### Information Technology (Semester 8)

TOTAL MARKS: 100

TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.

(2) Attempt any **four** from the remaining questions.

(3) Assume data wherever required.

(4) Figures to the right indicate full marks.
**1(a)** Briefly explain the steps in simulation study(10 marks)
**1(b)** Give an example of each type of model and state the one that leads to simulation.(10 marks)
**2(a)** Describe queuing system. What is the condition that leads to stability? (10 marks)
**2(b)** Write event scheduling algorithm. Give the system snapshot at time t.(10 marks)
**3(a)** Discuss various costs that are involved in inventory system. Explain the policy and goal of inventory system.(10 marks)
**3(b)** State the desirable features of simulation software(10 marks)
**4(a)** Compare simulation language with programming language.(10 marks)
**4(b)** What is the use of probability distribution in system simulation? Give an example of discrete distribution and continuous distribution?(10 marks)
**5(a)** State the quenching notation, Queue discipline and Poisson process.(10 marks)
**5(b)** State the steady parameters of M/M/1. What would change it service time is not Markovian.(10 marks)
**6(a)** Why it is necessary to test the properties of random numbers? How would you generate random numbers?(10 marks)
**6(b)** Using Inverse Transform Method derive random variates for exponential distribution. (10 marks)

### Write short notes on any two of the following:-

**7(a)** Cobweb Model(10 marks)
**7(b)** Manufacturing and material handling system.(10 marks)
**7(c )** Supermarket model.(10 marks)
**7(d)** Reliability system.(10 marks)