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.
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) |
| |
Average queueing delay |
| |
Average response time |
| |
Cumulative distribution function of response time ... |
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