Compute system utilization and average time in system


Problem:

Consider a single-stage, single-server system with a Poisson arrival rate of 50 customers per hour, and an exponential service rate of 75 customers per hour. a) Compute system utilization, average time in system and average number in system. b) Compute the same system characteristics (utilization, average time in system and average number in system) for: i) an arrival rate of 20 customers per hour and ii) an arrival rate of 70 customers per hour assuming an exponential service rate of 75 customers per hour for both cases. c) From part (b), what is a good value for utilization of the system? (Hint: This is a qualitative question.)

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