Customers arrive at a two-server system according to a Poisson process having rate ? = 5. An
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Customers arrive at a two-server system according to a Poisson process having rate ? = 5. An arrival finding server 1 free will begin service with that server. An arrival finding server 1 busy and server 2 free will enter service with server 2. An arrival finding both busy will go away. Once a customer is served by either server, they depart the system. The service times for servers 1 and 2 are exponential with rates µ = 4 and 2 respectively.
A) What is the average time an entering customer spends in the system?
B) What proportion of time is server 2 busy?
C) What fraction of entering customers receive service from server 1?
Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
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