Why is patient expected wait time different

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Reference no: EM132290723

1-5. A dentist works from 9am to noon, offering 1 hour appointments on the hour for routine cleanings. The dentist’s schedule is always full so she does not allow walk-ins. If she is free, the dentist begins the appointment when the patient arrives. The dentist finishes with each patient within 50 minutes, and patients arrive at the beginning of their appointment.

1. How long on average do patients wait (in minutes)?

2. The dentist hires an operations management specialist to analyze her appointment system. This analyst identifies that the time it takes the dentist to complete a cleaning has an exponential distribution with an average service time of 50 min. How long on average do patients wait (in minutes)?

3. Why is a patient’s expected wait time different in the first versus the second scenario?

It isn't.

Because the dentist cannot fully balance the wait time caused by longer-than-average appointments with shorter-than-average service times.

Because variability in arrival times causes earlier-than-average arrivals to wait.

Because uncertainty in service times causes the dentist’s utilization to increase.

None of the above

4. An operations management analyst has found that that the time it takes the dentist to complete a cleaning has an exponential distribution with an average service time of 50 min. The operations management analyst also considers the possibility of removing appointments and having walk-ins only. The analyst estimates the arrival process would be distributed normally with an average inter-arrival time of 60 minutes and a standard deviation of 20 minutes. How long would patients expect to wait in this new system (minutes)?

5. How many people should the receptionist expect to find in the waiting room in the scenario described in Q4?

6. Why is customer waiting lower when queues are pooled relative to when queues are dedicated?

a. Working together causes service providers service rates to increase b. The pooled queue is longer than the dedicated queues, causing some customers not to seek service, decreasing the arrival rate c. Pooled queues have less variable service times d. In pooled queues, servers have higher utilization e. In pooled queues, servers have lower utilization f. None of the above

Reference no: EM132290723

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