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Jobs arrive at processing station A according to a Poisson process with rate 1 per minute. If the single server is busy, they wait for the single server to become available. After service, with probability 1/2 the job departs the system; otherwise it moves on to station B, which operates like station A except that after service all jobs depart the system. The service times are independent and exponentially distributed with mean 1/2 minute at each of the stations. What is the average number of jobs at station B (waiting or in service)?

Jobs arrive at processing station A according to a Poisson process with rate 1 per minute. If the single server is busy, they wait for the single server to become available. After service, with probability 1/2 the job departs the system; otherwise it moves on to station B, which operates like station A except that after service all jobs depart the system. The service times are independent and exponentially distributed with mean 1/2 minute at each of the stations. What is the average number of jobs at station B (waiting or in service)?

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Jobs arrive at processing station A according to a Poisson process with rate 1 per minute. If the single server is busy, they wait for the single server to become available. After service, with probability 1/2 the job departs the system; otherwise it moves on to station B, which operates like station A except that after service all jobs depart the system. The service times are independent and exponentially distributed with mean 1/2 minute at each of the stations. What is the average number of jobs at station B (waiting or in service)? Type your answer.
Transcribed Image Text:Jobs arrive at processing station A according to a Poisson process with rate 1 per minute. If the single server is busy, they wait for the single server to become available. After service, with probability 1/2 the job departs the system; otherwise it moves on to station B, which operates like station A except that after service all jobs depart the system. The service times are independent and exponentially distributed with mean 1/2 minute at each of the stations. What is the average number of jobs at station B (waiting or in service)? Type your answer.
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