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

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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 1 (37.64 KiB) Viewed 94 times

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.