The computer laboratory at a State University has a help desk to assist students working on computer spreadsheet assignments.  The students patiently form a single line in front of the desk to wait for help.  Students are served based on a first-come, first-served priority rule.  On the average, 15 students per hour arrive at the help desk.  Student arrivals are best described using a Poisson distribution.  The help desk server can help an average of 20 students per hour, with the service rate being described by a constant distribution.  Calculate the following characteristics of the system: The average utilization of the help desk server. The average number of students waiting in line. The average number of students waiting in the system. The average time a student spends in the system

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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The computer laboratory at a State University has a help desk to assist students working on computer spreadsheet assignments.  The students patiently form a single line in front of the desk to wait for help.  Students are served based on a first-come, first-served priority rule.  On the average, 15 students per hour arrive at the help desk.  Student arrivals are best described using a Poisson distribution.  The help desk server can help an average of 20 students per hour, with the service rate being described by a constant distribution.  Calculate the following characteristics of the system:

  1. The average utilization of the help desk server.
  2. The average number of students waiting in line.
  3. The average number of students waiting in the system.
  4. The average time a student spends in the system
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