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) A and B

Question

Quizplus · Accepted Answer

For infinite queues, 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 there is no limit to the number of customers that can be held in the system, so both those in the queue and in service contribute to the total expected number. Option A is incorrect because it only considers the arrival rate and service rate without taking into account the queue. Option C is incorrect as it assumes a finite waiting time, which is not necessarily the case for infinite queues. Option D is incorrect as it includes option A, which is not a correct answer.

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