{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

QueueTheoryExample - 32 0.000002 0.0488 33 0.000001 0.0406...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Single Queue Common Case 10 0.8333333333 12 4.1666666667 5 Arrival Probability 0.4166666667 N Pr[N arrivals] Pr[N in System] Service Time 0.0833333333 0 0.004540% 16.6667% Total Time in System 0.5 1 0.045400% 13.8889% 2 0.227000% 11.5741% 3 0.756665% 9.6451% 4 1.891664% 8.0376% 5 3.783327% 6.6980% 6 6.305546% 5.5816% 7 9.007923% 4.6514% 8 11.259903% 3.8761% 9 12.511004% 3.2301% 10 12.511004% 2.6918% 11 11.373640% 2.2431% 12 9.478033% 1.8693% 13 7.290795% 1.5577% 14 5.207710% 1.2981% 15 3.471807% 1.0818% 16 2.169879% 0.9015% 17 1.276400% 0.7512% 18 0.709111% 0.6260% 19 0.373216% 0.5217% 20 0.186608% 0.4347% 21 0.088861% 0.3623% 22 0.040391% 0.3019% 23 0.017561% 0.2516% 24 0.007317% 0.2097% 25 0.002927% 0.1747% 26 0.001126% 0.1456% 27 0.000417% 0.1213% 28 0.000149% 0.1011% 29 0.000051% 0.0843% 30 0.000017% 0.0702% 31 0.000006% 0.0585%
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 32 0.000002% 0.0488% 33 0.000001% 0.0406% 34 0.000000% 0.0339% 35 0.000000% 0.0282% Mean Arrivals/Unit Time (λ) Utilization (U) (also ρ) Mean Service Rate (μ) Mean Length of Queue (L q ) Total Population in System L = ρ + Lq Waiting Time in Queue (W q ) Single Queue Common Case 210 280 0.75 0.25 Population 2.25 0.75 3 Time 0.0107142857 0.0035714286 0.0142857143 Mean Arrivals/Unit Time (λ) Mean Service Rate (μ) Utilization (U or ρ ) Idle Time = P = (1-ρ ) = (1-U) Queue L q = ( λ 2 ) / ( μ * ( μ-λ )) Server (U or ρ ) Total L = L q + ρ Queue W q = L q / λ Server (1/ μ ) Total W = W q + (1/ μ )...
View Full Document

{[ snackBarMessage ]}