Definition of A BCMP Network
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:
- FCFS discipline where all customers have the same negative exponential service time distribution. The service rate can be state dependent, so write for the service rate when the queue length is j.
- Processor sharing queues
- Infinite server queues
- LCFS with pre-emptive resume (work is not lost)
In the final three cases, service time distributions must have rational Laplace transforms. This means the Laplace transform must be of the form
Also, the following conditions must be met.
- external arrivals to node i (if any) form a Poisson process,
- a customer completing service at queue i will either move to some new queue j with (fixed) probability or leave the system with probability, which is non-zero for some subset of the queues.
Read more about this topic: BCMP Network
Famous quotes containing the words definition of a, definition of, definition and/or network:
“Definition of a classic: a book everyone is assumed to have read and often thinks they have.”
—Alan Bennett (b. 1934)
“Beauty, like all other qualities presented to human experience, is relative; and the definition of it becomes unmeaning and useless in proportion to its abstractness. To define beauty not in the most abstract, but in the most concrete terms possible, not to find a universal formula for it, but the formula which expresses most adequately this or that special manifestation of it, is the aim of the true student of aesthetics.”
—Walter Pater (1839–1894)
“It’s a rare parent who can see his or her child clearly and objectively. At a school board meeting I attended . . . the only definition of a gifted child on which everyone in the audience could agree was “mine.””
—Jane Adams (20th century)
“Parents need all the help they can get. The strongest as well as the most fragile family requires a vital network of social supports.”
—Bernice Weissbourd (20th century)