In general, for infinite queues, the expected number of people in the system is equal to:
A) the average arrival rate minus the average service rate.
B) the expected number in the queue plus the expected number in service.
C) the expected arrival rate times the expected waiting time.
D) alternatives (a) and (b) above.

Question

Quizplus · Accepted Answer

The expected number of people in the system is the sum of the expected number in the queue and the expected number in service. This is because even if all servers are busy, the customers in service are still part of the system. Option A is incorrect because it only considers the difference between arrival and service rates, without taking into account the number of customers already present in the system. Option C is incorrect because it only considers the expected waiting time, not the expected number of customers in the system. Option D is incorrect because option A is incomplete and option B includes all the components of the expected number of people in the system.

In General, for Infinite Queues, the Expected Number of People