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Expected Units in the System (v3), s = 1

Last modified by
on
Jul 24, 2020, 6:28:07 PM
Created by
on
Dec 15, 2013, 6:29:08 AM
L=ρ[λ,s,μ]1-ρ[λ,s,μ]L=ρ[λ,s,μ]1−ρ[λ,s,μ]
Mean Arrival RateMean Arrival Rate
Number of ServersNumber of Servers
MeanService RateMeanService Rate
Tags
Industrial Engineering Queuing Model
UUID
3422960e-6552-11e3-84d9-bc764e202424

This equation computes the expected number of units in the system, L,  for the case of a single server model (s = 1) with exponential service time, M = ∞∞

L = ρρ /( 1 - ρρ)  = λλ/ (μ-λμ−λ) , where

  • ρρ = server utilization factor
  • μμ = mean service rate
  • λλ = mean arrival rate
This equation, Expected Units in the System (v3), s = 1, references 1 page
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