## MCA-203 System Simulation !

1).Define Simulation .Give advantages and disadvantages of simulation.

2).Identify any three problems of your choice in which you think should be solved using digital simulation than analytical.

3).Develop algorithms to simulate the following systems:

a) Pure Pursuit Problems

b) Construction of Dam across a river.

4).How simulation differs from modeling? Enumerate the steps involved in solving the problem by modeling and simulation.

b) Explain the different type of Models

5.Define and describe following terms by assuming an example system: Entity, Attribute, system and its type, Activity and its type.

6.Justify the use of simulation technique in quenching systems. Also,describe the simulation study of a single-server queue system.

7.Differentiate between the followings:

a) Numerical integration and continuous system simulation.

b) Next-event and fixed –time step discrete system simulation.

8.Develop an algorithm to generate a series if pseudorandom values t1, t2, t3,………., tn which follows exponential distribution by using Inverse transformation method.

9.Explain the difference between continuous and discrete simulation languages. Also discuss how you will simulate Host-Parasite system using a Block Oriented Simulation Language.

10.List the salient features of SIMULA and GPSS.

11.Write a computer program to simulate an inventory system with large no. of inventory policies to determine optimal policy which yields maximum service level for a specific average stock. Choose appropriate boundary conditions.

12.Derive an algorithm to simulate Two-Server Queuing System with a common queue ,specified inter-arrival services patterns/distribution and FIFO queue discipline. Also explain that how this simulator can be extended for M-Server queuing system.

13.Distinguish verification and validation. List out guidelines for validating first –time model.

b) Discuss any three tools that are used for reducing the variance of simulation experiments.

14.Write short note on the following:

a) Simulation of a Hypothetical Computer and PERT.

b) Hybrid Simulation.

15.Differentiate between the followings:

a) Modeling and Simulation.

b) Stochastic vs. Monte Carlo Simulation.

16.Write short note on Box-Muller Transformation for generating a sample from standardized normal distribution.

17.Write a computer program to determine the optimal inventory policy after simulating a wide range of policies on the system characterized by the following:

a) The number of units demanded is Poisson distributed with an average demand of 4 units per day.

b) Procurement lead time is Erlong distributed and the average lead time is 15 day i.e B=5 and m=3).

c) Every demand that can not be fulfilled is backordered and satisfied when a shipment is received.

d) At any given time there may be at most two (2) orders outstanding.

e) Period of simulation in 500 days.

f) The cost associated are: the reorder cost Rs 150 per order ,carrying cost 30 paisa per day per unit and backorder cost is 4/- per day per unit for carrying backorders.

18.Determine the run length of Static and Dynamic stochastic simulation experiments.

19.Discuss the features of :

a) Block-Structured Simulation languages.

b) Discrete System Simulation languages.

20.What is stochastic convergence? Discuss the following variance reduction techniques.

a) Antithetic Sampling

b) Correlated Sampling

c) Stratified Sampling