4. Vacation Inns is a chain of hotels operating in the southwestern part of the United States. The company uses a toll-free telephone number to make reservations for any of its hotels. The average time to handle each call is 3 minutes, and an average of 12 calls are received per hour. The probability distribution that describes the arrivals is unknown. Over a period of time it is determined that the average caller spends 6 minutes either on hold or receiving service. Find the average time in the queue, the average time in the system, the average number in the queue, and the average number in the system.

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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4. Vacation Inns is a chain of hotels operating in the southwestern part of the United States. The company
uses a toll-free telephone number to make reservations for any of its hotels. The average time to
handle each call is 3 minutes, and an average of 12 calls are received per hour. The probability
distribution that describes the arrivals is unknown. Over a period of time it is determined that the
average caller spends 6 minutes either on hold or receiving service. Find the average time in the
queue, the average time in the system, the average number in the queue, and the average number in
the system.
Transcribed Image Text:4. Vacation Inns is a chain of hotels operating in the southwestern part of the United States. The company uses a toll-free telephone number to make reservations for any of its hotels. The average time to handle each call is 3 minutes, and an average of 12 calls are received per hour. The probability distribution that describes the arrivals is unknown. Over a period of time it is determined that the average caller spends 6 minutes either on hold or receiving service. Find the average time in the queue, the average time in the system, the average number in the queue, and the average number in the system.
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