Optimizing Oracle Performance
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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 ) | |
| Average queueing delay | |
| Average response time | |
| Cumulative distribution function of response time | |
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