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Probability of n units in system (v2), s = 1

Last modified by
on
Jul 24, 2020, 6:28:07 PM
Created by
on
Dec 15, 2013, 5:19:51 AM
`P_n = P_0[ lambda , mu ] rho ^ "n" `
`"Service Utilization factor"`
`"Number of Units"`
`"Mean Arrival Rate"`
`"Mean Service Rate"`
Tags
Industrial Engineering Queuing Model
UUID
867322e9-6548-11e3-84d9-bc764e202424

This equation computes the probability that there are exactly n units in the system (`P_n` ) for the case of a single server model (s = 1) with exponential service time, M = `oo`.

`P_n` =( 1 - `rho`)/`rho^n` = `P_0``rho^n` , where

  • `rho` = service utilization factor
  • `P_0` is the Probability there are no units in the system
This equation, Probability of n units in system (v2), s = 1, references 1 page
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