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[30] Queueing Network

Consider the following open network of M/M/1 queues in equilibrium with and and find:

  1. the throughputs for each queue, , ,
  2. the average number of customers waiting or being served for each queue, , , and
  3. the necessary and sufficient condition for the system to be in equilibrium; give a geometric interpretation of it.
Note: A customer leaving server 1 enters queue 2 with probability p.

George Polyzos
Wed Mar 13 15:53:29 PST 1996