Magic, Inc. has four units of equipment that are automatic but occasionally become inoperative because of the need for supplies, maintenance, or repair. Each unit runs an average of 30 minutes before needing service. Service times vary; however, the average service time is five minutes. a. What is the average number of units in line? b. What is the average number of units still in operation? c. What is the average number of units being serviced?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 9P
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Magic, Inc. has four units of equipment that are automatic but occasionally become inoperative
because of the need for supplies, maintenance, or repair. Each unit runs an average of 30 minutes
before needing service. Service times vary; however, the average service time is five minutes.
a. What is the average number of units in line?
b. What is the average number of units still in operation?
c. What is the average number of units being serviced?
Transcribed Image Text:Magic, Inc. has four units of equipment that are automatic but occasionally become inoperative because of the need for supplies, maintenance, or repair. Each unit runs an average of 30 minutes before needing service. Service times vary; however, the average service time is five minutes. a. What is the average number of units in line? b. What is the average number of units still in operation? c. What is the average number of units being serviced?
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