What is the average time needed to register (includes waiting and registering), in minutes (round to two decimals)?

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 I Love Operations Management (ILOM) Conference, a major international conference, is staffed by student volunteers. One of the tasks of the student volunteers is to register conference attendees. The registration process involves confirming that fees have been paid, retrieving a conference package specific to that person (filed under their last name), and passing on relevant information about the conference.

 

In 2023, conference registration will be handled by a group of 10 student volunteers who work in five pairs to register the attendees (i.e., each pair will together register one attendee at a time). Attendees line up in a common line to be served by the next available pair of volunteers. Attendees arrive at an average rate of 139 per hour (assume Poisson arrival distribution) and the service time is, on average, two minutes (following a negative exponential distribution).

 

What is the average time needed to register (includes waiting and registering), in minutes (round to two decimals)?

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