One mechanic services 6 drilling machines for a steel plate manufacturer. Machines break down on an average of once every 3 working​ days, and breakdowns tend to follow a Poisson distribution. The mechanic can handle an average of one repair job per day. Repairs follow a negative exponential distribution.   ​a) On the​ average, how many machines are waiting for​ service?   The average number of machines waiting for service is

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 52P
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One mechanic services 6 drilling machines for a steel plate manufacturer. Machines break down on an average of once every 3 working​ days, and breakdowns tend to follow a Poisson distribution. The mechanic can handle an average of one repair job per day. Repairs follow a negative exponential distribution.
 
​a) On the​ average, how many machines are waiting for​ service?
 
The average number of machines waiting for service is
 
 
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,