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...


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

Extracted 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.

Jun 03, 2022
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