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Simulation and Modelling                                        Sandeep Kumar, Lovely Professional University



                      Notes                      Unit 5: Discrete System Simulation (II)



                                       CONTENTS
                                       Objectives
                                       Introduction
                                       5.1  Simulating  Randomness

                                       5.2  Random-number  Generators
                                       5.3  Generation of Random Numbers
                                       5.4  Summary
                                       5.5  Keywords
                                       5.6  Self Assessment
                                       5.7  Review Questions
                                       5.8  Further Readings



                                    Objectives

                                    After studying this unit, you will be able to:

                                        Describe Simulating Randomness
                                        Explain Generation of Random Numbers

                                    Introduction

                                    To  generate  truly  random  numbers  requires  precise,  accurate,  and  repeatable  system
                                    measurements of absolutely non-deterministic processes. In comparison with PRNGs, TRNGs
                                    extract randomness from physical phenomena and introduce it into a computer. You can imagine
                                    this as a die connected to a computer, but typically people use a physical phenomenon that is
                                    easier to connect to a computer than a die.

                                    5.1 Simulating Randomness

                                    1.   Stochastic Systems: Systems with intrinsic randomness or changeability in their behaviour.

                                         (a)  These systems with chance can be normal or man-made.
                                         (b)  Instances of systems where randomness is simulated are:
                                              (i)  Inventory System
                                              (ii)  Water Reservoir

                                              (iii)  Advent of customers in a store
                                              (iv)  Demand for telephone line at exchange
                                              (v)  Births and deaths in a population
                                              (vi)  Particle collision in a reactor

                                              (vii) Appearance of an elevator on a given floor



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