Probability of n units in system (v3), s = 1

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on

Jul 24, 2020, 6:28:07 PM

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Dec 15, 2013, 5:24:57 AM

P_{n} = P_{0} ρ^{n}

$P_n = P_0 rho ^ "n"$

Service Utilization factor

$"Service Utilization factor"$

Number of Units

$"Number of Units"$

Probability of No Units

$"Probability of No Units"$

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3cb4ce68-6549-11e3-84d9-bc764e202424

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

$P_{n}$ $P_n$ =( 1 - $ρ$ $rho$ )/ $ρ^{n}$ $rho^n$ = $P_{0}$ $P_0$ $ρ^{n}$ $rho^n$ , where

$ρ$ $rho$ = service utilization factor
$P_{0}$ $P_0$ is the Probability there are no units in the system

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Probability of n units in system (v3), s = 1

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