WaitingLinesFormula_3Models

WaitingLinesFormula_3Models - Basic waiting line models...

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1 Basic waiting line models Model 1 . This is a M/M/1 queue. σ = 1/ μ and using the Pollaczek-Khintchine formula, we get Model 2 . This is a M/D/1 queue. σ = 0 and the corresponding formula are: Model 3. M/M/s queue. Note: The following is an important model, though it is not required in this course, you may encounter it in a lot of situations, in study or in work. It is a more general model than that of Model 1 and Model 2. (In other words, Model 1 and Model 2 are special cases of this model: The M/G/1 queue. G stands for general distribution.) For M/G/1 queue, when ρ = λ / μ < 1, we have the Pollaczek-Khintchine formula: where σ 2 is the variance of the service time. ,... 2 , 1 , 0 , 1 . 1 ) ( ) (
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