MSU CMPS 4223 - Simulation Statistics (21 pages)

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Simulation Statistics

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Simulation Statistics

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Pages:
21
School:
Midwestern State University
Course:
Cmps 4223 - Intro To Simulation
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Simulation Statistics Numerous standard statistics of interest Some results calculated from parameters Used to verify the simulation Most calculated by program 1 Some Statistics Average Wait time for a customer total time customers wait in queue total number of customers Average wait time of those who wait total time of customers who wait in queue number of customers who wait 2 More Statistics Proportion of server busy time number of time units server busy total time units of simulation Average service Time total service time number of customers serviced 3 More Statistics Average time customer spends in system total time customers spend in system total number of customers Probability a customer has to wait in queue number of customers who wait total number of customers 4 Traffic Intensity A measure of the ability of the server to keep up with the number of the arrivals TI service mean inter arrival mean If TI 1 then system is unstable queue grows without bound 5 Server Utilization of time the server is busy serving customers If there is 1 server SU TI service mean interarrival mean If there are N servers SU 1 N service mean interarrival mean 6 Statistical Models Probability a quantitive measure of the chance or likelihood of an event occurring Random unable to be predicted exactly In an experiment where events randomly occur but in which we have assigned to each possible outcome a probability we have determined a probability or stochastic model 7 Terms Event Space Event Complement of an Event Intersection Union Mutually Exclusive 8 Examples Event Space The set of all possible events that can occur Event E Any single occurrence ex 1 2 3 4 5 6 ex E 4 5 Complement of E Set of all events except E Ex Complement of E 1 2 3 6 9 Examples Union Combination of any 2 event sets A 1 2 3 B 3 4 A U B 1 2 3 4 10 Examples Intersection Overlap of common occurrence of 2 event sets A 1 2 3 A B 3 B 3 4 Mutually Exclusive 2 event sets that have no events in common A 1 2 A B B 3 4 11

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