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A county referral hospital has a single Cuban doctor to take care of patients arriving for specialized medical services across the ten sub counties. it has been established that the situation faced here is a single server situation with poison arrival and exponential service. from the records it has been established that patients arrive randomly at the rate of 0.25 patients per minute. Patients require different amount of time for treatment, the Doctor reckons that he treats his patients at an average rate of 0.3 patients/minute. Determine; a) The average number of patients in the queuing system b) Patients waiting in the queue c) Average amount of time a patient spends in the queuing system. d) The average amount of time a patient spends in the queue e) the proportion of the time the doctor is giving the service

A county referral hospital has a single Cuban doctor to take care of patients arriving for specialized medical services across the ten sub counties. it has been established that the situation faced here is a single server situation with poison arrival and exponential service. from the records it has been established that patients arrive randomly at the rate of 0.25 patients per minute. Patients require different amount of time for treatment, the Doctor reckons that he treats his patients at an average rate of 0.3 patients/minute. Determine; a) The average number of patients in the queuing system b) Patients waiting in the queue c) Average amount of time a patient spends in the queuing system. d) The average amount of time a patient spends in the queue e) the proportion of the time the doctor is giving the service

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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A county referral hospital has a single Cuban doctor to take care of patients arriving for specialized medical services across the ten sub counties. it has been established that the situation faced here is a single server situation with poison arrival and exponential service. from the records it has been established that patients arrive randomly at the rate of 0.25 patients per minute. Patients require different amount of time for treatment, the Doctor reckons that he treats his patients at an average rate of 0.3 patients/minute. Determine; a) The average number of patients in the queuing system b) Patients waiting in the queue c) Average amount of time a patient spends in the queuing system. d) The average amount of time a patient spends in the queue e) the proportion of the time the doctor is giving the service
Transcribed Image Text:A county referral hospital has a single Cuban doctor to take care of patients arriving for specialized medical services across the ten sub counties. it has been established that the situation faced here is a single server situation with poison arrival and exponential service. from the records it has been established that patients arrive randomly at the rate of 0.25 patients per minute. Patients require different amount of time for treatment, the Doctor reckons that he treats his patients at an average rate of 0.3 patients/minute. Determine; a) The average number of patients in the queuing system b) Patients waiting in the queue c) Average amount of time a patient spends in the queuing system. d) The average amount of time a patient spends in the queue e) the proportion of the time the doctor is giving the service
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