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Consider an M/M/1 queueing system with hourly arrival rate = 10, hourly service rate = 15, and first-come, first-served (FCFS) service discipline. Suppose that the
Consider an M/M/1 queueing system with hourly arrival rate= 10, hourly service rate= 15, and first-come, first-served (FCFS) service discipline. Suppose that the server earns a (fixed) hourly salary $8, plus a $2 bonus for each customer who spends no more than 10 minutes in the system (including both the customer's time in queue and in service). Determine the long-run average server compensation per hour (including both the salary and the bonus). Explain (note that you may use results derived in class for the M/M/1 queue).
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