QueueTheoryExample

QueueTheoryExample - 32 0.000002% 0.0488% 33 0.000001%...

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 DocumentRight 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 () Utilization (U) (also ) Mean Service Rate () Mean Length of Queue (L q ) Total Population in System L = + 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 () Mean Service Rate () Utilization (U or ) Idle Time = P = (1- ) = (1-U) Queue L q = ( 2 ) / ( * ( - )) Server (U or ) Total L = L q + Queue W q = L q / Server (1/ ) Total W = W q + (1/ )...
View Full Document

Page1 / 2

QueueTheoryExample - 32 0.000002% 0.0488% 33 0.000001%...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online