c. What is the probability that there will be three or more patients on the premises? Note: Do not round intermediate calculations. Round your answer to 1 decimal place. Probability % d. What is the utilization of the nurse? Note: Do not round intermediate calculations. Round your answer to 1 decimal place. Utilization of the nurse % e. Assume three nurses are available. Each takes an average of 3.40 minutes to prepare the patients' serum and administer the injection. What is the average total time of a patient in the system? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Average total time minutes L. Winston Martin (an allergist) has an excellent system for handling his regular patients who come in just for allergy injections. Patients arrive for an injection and fill out a name slip, which is then placed in an open slot that passes into another room staffed by up to three nurses. The specific injections for a patient are prepared, and the patient is called through a speaker system into the room to receive the injection. At certain times during the day, patient load drops and only one nurse is needed to administer the injections. Let's focus on the simpler case of the two-namely, when there is one nurse. Also, assume that patients arrive in a Poisson fashion and the service rate of the nurse is exponentially distributed. During this slower period, patients arrive with an interarrival time of approximately 4 minutes. It takes the nurse an average of 3.40 minutes to prepare the patients' serum and administer the injection. (Use the Excel spreadsheet Queue Models.) a. What is the average number of patients you would expect to see in Dr. Martin's facilities? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Average number of patients b. How long would it take for a patient to arrive, get an injection, and leave? Note: Round your answer to 2 decimal places. Average total time minutes
c. What is the probability that there will be three or more patients on the premises? Note: Do not round intermediate calculations. Round your answer to 1 decimal place. Probability % d. What is the utilization of the nurse? Note: Do not round intermediate calculations. Round your answer to 1 decimal place. Utilization of the nurse % e. Assume three nurses are available. Each takes an average of 3.40 minutes to prepare the patients' serum and administer the injection. What is the average total time of a patient in the system? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Average total time minutes L. Winston Martin (an allergist) has an excellent system for handling his regular patients who come in just for allergy injections. Patients arrive for an injection and fill out a name slip, which is then placed in an open slot that passes into another room staffed by up to three nurses. The specific injections for a patient are prepared, and the patient is called through a speaker system into the room to receive the injection. At certain times during the day, patient load drops and only one nurse is needed to administer the injections. Let's focus on the simpler case of the two-namely, when there is one nurse. Also, assume that patients arrive in a Poisson fashion and the service rate of the nurse is exponentially distributed. During this slower period, patients arrive with an interarrival time of approximately 4 minutes. It takes the nurse an average of 3.40 minutes to prepare the patients' serum and administer the injection. (Use the Excel spreadsheet Queue Models.) a. What is the average number of patients you would expect to see in Dr. Martin's facilities? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Average number of patients b. How long would it take for a patient to arrive, get an injection, and leave? Note: Round your answer to 2 decimal places. Average total time minutes
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Transcribed Image Text:c. What is the probability that there will be three or more patients on the premises?
Note: Do not round intermediate calculations. Round your answer to 1 decimal place.
Probability
%
d. What is the utilization of the nurse?
Note: Do not round intermediate calculations. Round your answer to 1 decimal place.
Utilization of the nurse
%
e. Assume three nurses are available. Each takes an average of 3.40 minutes to prepare the patients' serum and administer the
injection. What is the average total time of a patient in the system?
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
Average total time
minutes
Transcribed Image Text:L. Winston Martin (an allergist) has an excellent system for handling his regular patients who come in just for allergy injections. Patients
arrive for an injection and fill out a name slip, which is then placed in an open slot that passes into another room staffed by up to three
nurses. The specific injections for a patient are prepared, and the patient is called through a speaker system into the room to receive
the injection. At certain times during the day, patient load drops and only one nurse is needed to administer the injections.
Let's focus on the simpler case of the two-namely, when there is one nurse. Also, assume that patients arrive in a Poisson fashion and
the service rate of the nurse is exponentially distributed. During this slower period, patients arrive with an interarrival time of
approximately 4 minutes. It takes the nurse an average of 3.40 minutes to prepare the patients' serum and administer the injection.
(Use the Excel spreadsheet Queue Models.)
a. What is the average number of patients you would expect to see in Dr. Martin's facilities?
Note: Do not round intermediate calculations. Round your answer to 2 decimal places.
Average number of patients
b. How long would it take for a patient to arrive, get an injection, and leave?
Note: Round your answer to 2 decimal places.
Average total time
minutes
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