Consider a walkup service center that is modeled by an M/M/1…
Consider a walkup service center that is modeled by an M/M/1 queuing system (Poisson arrivals and exponential service times), where the average service time is 10 minutes. Customer inter-arrival times are currently on the increase, and management will add a second server once average waiting time in the queue reaches 30 seconds. What is the average inter-arrival time (in seconds, to two decimal places to the right of the decimal point) that will result in an average waiting time in the queue of 30 seconds for this M/M/1 system, thereby creating the need for a second server? Show all work.