Transcription of Introduction to Discrete-Event Simulation
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Introduction to discrete -EventSimulationReference book: " Simulation , Modeling & Analysis (3/e) by Law and Kelton, 2000"OutlineSystem, Model, and Simulation System: discrete and Continuous Ways to Study a System Why Model Model Taxonomy Why SimulationDiscrete-Event Simulation What is Discrete-Event Simulation (DES) Example: A Single Server System Advancement of Simulation Time Components and Organization of Discrete-Event Simulation Model Design of Event ListExample: A Single Server System Sample Design for Event-Scheduling Sample Design for Arrival and Departure EThe Stages of a Simulation ProjectSystem: discrete and Continuous System:- a collection of entities that act and interact together towardthe accomplishment of some logical end. discrete system:- state variables change instantaneously at separated point intime, , a bank, since state variables - number ofcustomers, change only when a customer arrives or when acustomer finishes being served and departs Continuous system:- state variable change continuously with respect to time, ,airplane moving through the air, since state variables -position and velocity change continuously with respect totimeWays To Study a SystemSystemExperimentwith actualsystemExperimentwith a model ofactual system- A At-v\^,<1<<WL>Why Model?
What is Discrete-Event Simulation (DES) Discrete-event simulation is stochastic, dynamic, and discrete Stochastic = Probabilistic - Inter-arrival times and service times are random variables - Have cumulative distribution functions Discrete = Instantaneous events are separated by intervals of time
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Discrete, Discrete, Binomial & Geometric Random Variables, Discrete Random, Random, Probability Theory, Probability, Discrete Representation, Joint, RANDOM VARIABLES AND PROBABILITY DISTRIBUTIONS, 1 Discrete-time Markov chains, Columbia University, Continuous Random, Discrete uniform distribution from, Discrete uniform distribution, Random variable