simulation_1

# simulation_1 - Simulation Simulation Simulation is a...

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Simulation

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Simulation is a technique of manipulating a model of a system through a process of imitation. In simulation, the performance of the system is simulated by artificially generating a large number of sampling experiments on the model of the system without observing the real system. The times of the occurrence of the events of the system are artificially generated following the conditions of the system and the performance of the system is approximated. Simulation
Simulation (cont’d) Thus in simulation a computation device is used or computations are done on paper. The processes which are being simulated involve an element of chance they are referred to as Monte Carlo method . The use of Monte Carlo simulation eliminates the cost of building and operating expensive equipments; it is used, for instance, in the study of collision of photons with electrons, the scattering of neutrons and similar complicated phenomena.

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Simulation (cont’d) Monte Carlo methods are also useful in situations where direct experimentation is impossible, for example, in study of the spread of cholera epidemics which are not induced experimentally on human populations. Monte Carlo techniques are sometimes applied to the solution of mathematical problems which actually cannot be solved by direct means or where a direct solution is too costly or requires too much time.
Simulation (cont’d) Although Monte Carlo methods are sometimes based on actual gambling devices, it is usually expedient to use tables of random digits or random numbers . Tables of random numbers consist of many pages on which the digits of 0, 1, 2. … , and 9 are set down in a “random” fashion, much as they would appear if they were generated one at a time by a gambling device giving each digit an equal probability of being selected.

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Tables of random numbers are constructed so that the digits can be regarded as values of a random variable having the discrete uniform distribution f ( x ) = 1/10 for x = 0, 1, 2, …, or 9. They can be used to simulate values of any discrete
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## This note was uploaded on 02/23/2011 for the course MATH 112 taught by Professor Ritadubey during the Spring '11 term at Amity University.

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simulation_1 - Simulation Simulation Simulation is a...

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