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

Average interarrival rate

Average system throughput

Average service time

Average service rate

Average total utilization

Average server utilization or load (m servers)

Probability that arriving request will be enqueued (ErlangC)

image with no caption

Average queueing delay

Average response time

Cumulative distribution function of response time ...

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