Appendix C. MMm Queueing Theory Formulas

   

Appendix C. M/M/m Queueing Theory Formulas

Table D-1 provides a convenient summary of the M/M/ m queueing theory formulas described in Chapter 9.

Table C-1. M/M/m queueing theory formulas

Definition

Formula

Average number of arrivals

A

Average number of completed requests

C

Measurement period

T

Average busy time

B

Number of parallel service channels

m

Average arrival rate

figs/eq_ad06.gif

Average interarrival rate

figs/eq_ad07.gif

Average system throughput

figs/eq_ad08.gif

Average service time

figs/eq_ad09.gif

Average service rate

figs/eq_ad10.gif

Average total utilization

figs/eq_ad11.gif

Average server utilization or load ( m servers)

figs/eq_ad12.gif

Probability that arriving request will be enqueued ( ErlangC )

figs/eq_ad13.gif

Average queueing delay

figs/eq_ad14.gif

Average response time

figs/eq_ad15.gif

Cumulative distribution function of response time

figs/eq_ad16.gif


   
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Optimizing Oracle Performance
Optimizing Oracle Performance
ISBN: 059600527X
EAN: 2147483647
Year: 2002
Pages: 102

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