In queueing theory , a discipline within the mathematical theory of probability , a BCMP network is a class of queueing network for which a product-form equilibrium distribution exists. It is named after the authors of the paper where the network was first described: Baskett , Chandy , Muntz, and Palacios. The theorem is a significant extension to a Jackson network allowing virtually arbitrary customer routing and service time distributions, subject to particular service disciplines.
4-405: BCMP may stand for A BCMP network of queues, studied by Baskett, Chandy, Muntz, Palacios The British Columbia Marijuana Party Topics referred to by the same term [REDACTED] This disambiguation page lists articles associated with the title BCMP . If an internal link led you here, you may wish to change the link to point directly to
8-438: The following conditions must be met. For a BCMP network of m queues which is open, closed or mixed in which each queue is of type 1, 2, 3 or 4, the equilibrium state probabilities are given by where C is a normalizing constant chosen to make the equilibrium state probabilities sum to 1 and π i ( ⋅ ) {\displaystyle \scriptstyle {\pi _{i}(\cdot )}} represents
12-401: The intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=BCMP&oldid=932715709 " Category : Disambiguation pages Hidden categories: Short description is different from Wikidata All article disambiguation pages All disambiguation pages BCMP network The paper is well known, and the theorem was described in 1990 as "one of
16-456: The seminal achievements in queueing theory in the last 20 years" by J. Michael Harrison and Ruth J. Williams . A network of m interconnected queues is known as a BCMP network if each of the queues is of one of the following four types: In the final three cases, service time distributions must have rational Laplace transforms . This means the Laplace transform must be of the form Also,
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