AdvancedNumeric answer
A busy matching engine · Part 3 of 3
Model a matching-engine request queue as M/M/1: Poisson arrivals at rate and exponential service at rate , with . Mean time in the system is , including service.
Arrivals rise to 90 per second, and service capacity is upgraded to 120 per second. What is the new mean time in the system in seconds? Give four decimals.
Answer with a number. Fractions, powers and expressions like 23/6 or C(52,5) are read correctly in practice.
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