BCMP network

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.[1]

The paper is well known, and the theorem was described in 1990 as "one of the seminal achievements in queueing theory in the last 20 years" by J. Michael Harrison and Ruth J. Williams.[2]

  1. ^ Baskett, F.; Chandy, K. Mani; Muntz, R.R.; Palacios, F.G. (1975). "Open, closed and mixed networks of queues with different classes of customers". Journal of the ACM. 22 (2): 248–260. doi:10.1145/321879.321887. S2CID 15204199.
  2. ^ Harrison, J.M.; Williams, R.J. (1990). "On the Quasireversibility of a Multiclass Brownian Service Station". The Annals of Probability. 18 (3). Institute of Mathematical Statistics: 1249–1268. doi:10.1214/aop/1176990745. JSTOR 2244425.