A certain auto shop is an M/M/1 queuing process in which customer arrivals follow a Poisson process with rate λ=3 customers per hour, and service times are exponential random variables with mean μ=1/4 hours per customer. Find the proportion of the time there are at most 2 customers waiting in the queue.

Question

Quizplus · Accepted Answer

The Answer of A certain auto shop is an M/M/1 queuing process in which customer arrivals follow a Poisson process with rate λ=3 customers per hour, and service times are exponential random variables with mean μ=1/4 hours per customer. Find the proportion of the time there are at most 2 customers waiting in the queue.

A Certain Auto Shop Is an M/M/1 Queuing Process in Which