Lecture 12 Notes - / ) 1 server For system to be stable,...

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Space IOE 202: lecture 12 outline ° Announcements ° Last time. .. ° Classifying di f erent types of queueing systems ° Analysis of M/M/s and M/M/s/s queueing systems in steady state IOE 202: Operations Modeling, Fall 2009 Page 1 Space Last time: ° Queue of computer jobs on a server: deterministic vs. stochastic interarrival and service times ° The basic single-server model, a.k.a. the M / M / 1 model ° Exponentially distributed random interarrival times; occur with rate λ (average time between arrivals: 1 / λ ) ° Exponentially distributed random service times; occur with rate μ (average service time: 1
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Unformatted text preview: / ) 1 server For system to be stable, need server utilization = < 1 Performance measures of a queueing system: Time averages: L Q , L Sys , L Serv , P (busy), P n , etc. Customer averages: W Q , W Sys , W Serv , etc. Relationships between performance measures, including Littles Law Formulae to evaluate performance of an M/M/1 queue in steady state See Resources Queueing Resources Q-formulas.pdf IOE 202: Operations Modeling, Fall 2009 Page 2...
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