Customers arrive at a single-server queueing system according to a Poisson process at a mean rate of 30 per hour. If the server works continuously, the number of customers that can be served in an hour has a Poisson distribution with a mean of 50. Determine the proportion of time during which no one is waiting to be served.
Customers arrive at a single-server queueing system according to a Poisson process at a mean rate of 30 per hour. If the server works continuously, the number of customers that can be served in an hour has a Poisson distribution with a mean of 50. Determine the proportion of time during which no one is waiting to be served.
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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![1. Customers arrive at a single-server queueing system according to a Poisson process at a mean rate of 30 per
hour. If the server works continuously, the number of customers that can be served in an hour has a Poisson
distribution with a mean of 50. Determine the proportion of time during which no one is waiting to be served.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd83c3ce1-cd72-4e3b-8702-f62923bac270%2F86f9eb51-c87b-4788-a6c0-b8611fdec689%2Flo37jkg_processed.png&w=3840&q=75)
Transcribed Image Text:1. Customers arrive at a single-server queueing system according to a Poisson process at a mean rate of 30 per
hour. If the server works continuously, the number of customers that can be served in an hour has a Poisson
distribution with a mean of 50. Determine the proportion of time during which no one is waiting to be served.
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