The magnetic resonance imaging (MRI) unit of St Francis hospital has 2 MRI machines and sees two kinds of patients, “regular” patients and “contrast” patients. The regular patients don’t need any special preparation before imaging but the contrast patients receive an injection of “dye” that enables the physicians to see the images more clearly. Regular patients require 15 minutes in an MRI machine whereas contrast patients take on average 25 minutes in an MRI machine. Over an 8-hour day, the MRI unit receives an average of 25 regular patients and 5 contrast patients.   Convert the demand and capacity into "hours of work per day" to answer the following questions:   (a) What is the implied utilization (as a %) of the MRI unit?  % (Round your answer to whole number)     Hint: First calculate the demand in hours of work per day:   If there are 5 Contrast patients per day and each Contrast patient takes 25 minutes to 'process', how many 'minutes of work' are demanded every day from Contrast patients?   If there are 25 Regular patients per day and each Regular patient takes 15 minutes to 'process', how many 'minutes of work' are demanded every day from Regular patients?    If you add the demand (in hours per day) for both Regular and Contrast patients, you will get the total demand (in hours per day)   Next, calculate the capacity (in hours per day):   If each workday has 8 hours and there are two MRI machines, how much is the total capacity (in hours per day)?   You can calculate implied utilization by dividing total demand (in hours per day) against total capacity (in hours per day).     (b) What are the actual and maximum flow rates through the MRI (patients per day)?   Regular Contrast Max flow rates:  Regular patients per day  Contrast patients per day Actual flow rates:   Regular patients per day   Contrast patients per day         (Round your answer to 1 decimal place)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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The magnetic resonance imaging (MRI) unit of St Francis hospital has 2 MRI machines and sees two kinds of patients, “regular” patients and “contrast” patients. The regular patients don’t need any special preparation before imaging but the contrast patients receive an injection of “dye” that enables the physicians to see the images more clearly. Regular patients require 15 minutes in an MRI machine whereas contrast patients take on average 25 minutes in an MRI machine. Over an 8-hour day, the MRI unit receives an average of 25 regular patients and 5 contrast patients.

 

Convert the demand and capacity into "hours of work per day" to answer the following questions:

 

(a) What is the implied utilization (as a %) of the MRI unit?

 %

(Round your answer to whole number)

 

 

Hint: First calculate the demand in hours of work per day:

 

If there are 5 Contrast patients per day and each Contrast patient takes 25 minutes to 'process', how many 'minutes of work' are demanded every day from Contrast patients?

 

If there are 25 Regular patients per day and each Regular patient takes 15 minutes to 'process', how many 'minutes of work' are demanded every day from Regular patients? 

 

If you add the demand (in hours per day) for both Regular and Contrast patients, you will get the total demand (in hours per day)

 

Next, calculate the capacity (in hours per day):

 

If each workday has 8 hours and there are two MRI machines, how much is the total capacity (in hours per day)?

 

You can calculate implied utilization by dividing total demand (in hours per day) against total capacity (in hours per day).

 

 

(b) What are the actual and maximum flow rates through the MRI (patients per day)?

  Regular Contrast
Max flow rates:  Regular patients per day

 Contrast patients per day

Actual flow rates:   Regular patients per day

  Contrast patients per day

 

 

 

 

(Round your answer to 1 decimal place)

 

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