6.15. Consider an M/M/s queue with arrival rate 1 and service rate u. Suppose it costs $r per hour to hire a server, an
Posted: Thu Apr 28, 2022 7:48 am
6.15. Consider an M/M/s queue with arrival rate 1 and service rate u. Suppose it costs $r per hour to hire a server, an additional $b per hour if the server is busy, and $h per hour to keep a customer in the system. Show that the long-run cost per hour is given by rs + b(a/u) +hL, where L is the expected number in the queue.