BCMP network

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In queueing theory, a BCMP network is a system of queues for which the steady state occupancy of the queues has a very simple joint probability distribution, known as a product form. They are generalizations of Jackson networks. The name comes from the initials of the authors of the original paper on the topic[1].

[edit] Definition

A BCMP network contains queues of four types:

  1. single-server queues with exponential service times (like M/M/1 queues, although the arrival process will not be Poisson)
  2. Infinite server queues
  3. Processor sharing queues
  4. single-server queues with LCFS with pre-emptive resume

The next queue a customer enters after leaving a given queue can be random.

[edit] Steady state distribution

[edit] References

  1. ^ F. Baskett, K. M. Chandy, R. R. Muntz and F.G. Palacios (1975). "Open, closed and mixed networks of queues with different classes of customers". Journal of the ACM 22: 248–260. doi:10.1145/321879.321887. 
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