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Consider a Clinic

Consider a clinic that has 4 doctors at any time. Currently, the arrival rate for each doctor is 18 patients per hour and the service rate of each doctor is 22 patients per hour. Both inter-arrival time and service time are exponentially distributed. Initially, each doctor serves his or her own patients.


a. What is the average waiting time in minutes before seeing a doctor?

Average waiting time before seeing a doctor is  minutes

b. What is the average number of patients waiting in line to see a doctor?

Average number of patients waiting in line to see a doctor is 

The clinic decides to divide its pool of clinicians into teams, each of which consists of four doctors. A patient’s information is shared within the team, so a clinician can serve a patient who comes to any clinician on the same team.

 

c. After the formation of teams, what is the average waiting time in minutes before seeing a doctor?

Average waiting time before seeing a doctor is  minutes

d. After the formation of teams, what is the average number of patients waiting in line to see a doctor?

Average number of patients waiting in line to see a doctor is 



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