theory of probability, Burke's theorem (sometimes the Burke's output theorem) is a theorem (stated and demonstrated by Paul J. Burke while working at Bell...
6 KB (657 words) - 06:32, 14 April 2025
Little's law (redirect from Little's theorem)
mathematical queueing theory, Little's law (also result, theorem, lemma, or formula) is a theorem by John Little which states that the long-term average...
16 KB (1,827 words) - 06:18, 2 June 2025
Single queueing nodes D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix...
8 KB (975 words) - 04:19, 19 May 2025
Single queueing nodes D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix...
7 KB (939 words) - 09:10, 16 May 2025
Single queueing nodes D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix...
14 KB (1,841 words) - 18:43, 26 February 2025
John Burke Burke's Landed Gentry, an account of families of the land-holding class, first published in 1833 by John Burke Burke's theorem or Burke's Output...
6 KB (823 words) - 23:23, 26 January 2025
(harmonic analysis) Bayes' theorem (probability) Bertrand's ballot theorem (probability theory, combinatorics) Burke's theorem (probability theory, queueing...
78 KB (6,289 words) - 12:34, 6 June 2025
represents a single arrival of the particular class of customer to state x. Burke's theorem shows that an M/M/m queueing system is quasireversible. Kelly showed...
6 KB (703 words) - 19:58, 29 April 2024
Single queueing nodes D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix...
8 KB (924 words) - 05:31, 12 January 2025
Single queueing nodes D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix...
4 KB (424 words) - 14:34, 2 May 2024
also have a product–form stationary distribution by the Gordon–Newell theorem. This result was extended to the BCMP network, where a network with very...
39 KB (4,807 words) - 14:34, 12 January 2025
Single queueing nodes D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix...
4 KB (454 words) - 00:22, 9 May 2025
Single queueing nodes D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix...
12 KB (1,314 words) - 21:56, 19 February 2025
Single queueing nodes D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix...
9 KB (645 words) - 00:10, 12 November 2024
M/G/1 queue (section Arrival theorem)
function. As the arrivals are determined by a Poisson process, the arrival theorem holds. Many metrics for the M/G/k queue with k servers remain an open problem...
14 KB (1,787 words) - 08:05, 21 November 2024
Single queueing nodes D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix...
3 KB (298 words) - 19:57, 3 November 2024
Single queueing nodes D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix...
15 KB (2,183 words) - 14:59, 20 December 2023
discipline within the mathematical theory of probability, the arrival theorem (also referred to as the random observer property, ROP or job observer...
7 KB (866 words) - 06:31, 14 April 2025
BCMP network (redirect from BCMP theorem)
network was first described: Baskett, Chandy, Muntz, and Palacios. The theorem is a significant extension to a Jackson network allowing virtually arbitrary...
4 KB (567 words) - 13:57, 13 August 2023
Single queueing nodes D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix...
3 KB (423 words) - 20:50, 25 February 2025
Single queueing nodes D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix...
2 KB (285 words) - 23:36, 7 April 2024
2. Chen 2004, Definition 0.1(4). Norris 1997, Theorem 2.8.4 and Theorem 2.8.2(b). Anderson 1991, Theorem 2.2.2(1), page 70. Anderson 1991, Definition on...
23 KB (4,240 words) - 18:35, 6 May 2025
mathematical theory of probability, the Gordon–Newell theorem is an extension of Jackson's theorem from open queueing networks to closed queueing networks...
4 KB (598 words) - 06:33, 14 April 2025
Single queueing nodes D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix...
10 KB (1,522 words) - 14:59, 20 December 2023
Single queueing nodes D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix...
1 KB (123 words) - 03:22, 13 March 2024
Single queueing nodes D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix...
7 KB (1,008 words) - 01:20, 19 May 2025
Brownian excursion Brownian motion Brownian tree Bruck–Ryser–Chowla theorem Burke's theorem Burr distribution Business statistics Bühlmann model Buzen's algorithm...
87 KB (8,280 words) - 23:04, 12 March 2025
Single queueing nodes D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix...
2 KB (189 words) - 03:40, 13 March 2024
Single queueing nodes D/M/1 queue M/D/1 queue M/D/c queue M/M/1 queue Burke's theorem M/M/c queue M/M/∞ queue M/G/1 queue Pollaczek–Khinchine formula Matrix...
6 KB (622 words) - 07:20, 8 December 2024
by Lavenberg and Reiser published in 1980. It is based on the arrival theorem, which states that when one customer in an M-customer closed system arrives...
12 KB (1,587 words) - 08:12, 5 March 2024