# 10 - times. 6 Notation A : Number of time units between...

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Chapter 10 Queuing Theory and Analysis

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2 Queuing Theory and Analysis Queuing system Monte Carlo analysis of queuing Single-channel queuing models
3 Queuing system Arrivals Waiting line Server(s)

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4 The Monte Carlo analysis A discrete-event simulation of the queue. Arrivals are randomly generated from a known distribution. Service times are also randomly generated from a known distribution. Can use software to analyze a made- up system.
5 Results from the analysis Idle time of the server(s), Average/maximum number of units waiting in line, Average/maximum waiting time, Minimum/average/maximum time in system, etc… Let us consider a single server system with Poisson arrivals and exponential service

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Unformatted text preview: times. 6 Notation A : Number of time units between arrivals S : Number of time units to complete a service of a single customer arrival rate service rate A 1 = S 1 = 7 Probability of n units in the system n - 1 8 Average number of units in the system -9 Average length of the queue ( 29 -2 10 Probability of a non-empty queue 2 11 Average length of the non-empty queue -12 Average waiting time in line ( 29 -13 Average time spent in the system -1...
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## 10 - times. 6 Notation A : Number of time units between...

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