Kendall's notation

Kendall's notation

In queueing theory, Kendall's notation (or sometimes Kendall notation) is the standard system used to describe and classify the queueing model that a queueing system corresponds to. First suggested by D. G. Kendall in 1953 as a 3 factor "A/B/C" notation system for chacterising queues, it has since been extended to include up to 6 different factors.

The notation now appears in most standard reference work about queueing theory. e.g. Tijms, H.C, "Algorithmic Analysis of Queues", Chapter 9 in A First Course in Stochastic Models, Wiley, Chichester, 2003.]

Notation

: A queue is described in shorthand notation by "A/B/C/K/N/D" or the more concise "A/B/C". In this concise version, it is assumed "K" = ∞, "N" = ∞ and "D" = FIFO.

A: The arrival process

A code describing the arrival process. The codes used are:

:Note: An alternative notation practice is to record the queue discipline before the population and system capacity, with or without enclosing parenthesis. This does not normally cause confusion because the notation is different.

References

External links

*http://www.doc.ic.ac.uk/~nd/surprise_97/journal/vol4/wll1/main.htm
*http://new-destiny.co.uk/andrew/past_work/queueing_theory/Andy/kendall.html
*http://www.cs.wm.edu/~riska/main/node12.html
*http://www.everything2.com/index.pl?node_id=1055043
*A [http://www.google.com/search?q=Kendall%27s+notation Google search] gives many others.


Wikimedia Foundation. 2010.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • Kendall — ist der Name mehrerer Orte in den Vereinigten Staaten: Kendall (Florida) Kendall (New York) Kendall (Washington) Kendall (Wisconsin) Town(ship) in den Vereinigten Staaten: Kendall (Lafayette County, Wisconsin) sowie Kendall County (Illinois)… …   Deutsch Wikipedia

  • Kendall-Notation — Die Kendallsche Notation erlaubt die normierte Beschreibung eines Wartesystems. Sie wurde von David George Kendall entwickelt und hat sich als Standard weitgehend durchgesetzt. Dabei werden die charakteristischen Größen des Wartesystems in einer… …   Deutsch Wikipedia

  • David George Kendall — For other people of the same name, see David Kendall (disambiguation). David George Kendall Born 15 January 1918( …   Wikipedia

  • David George Kendall — (* 15. Januar 1918 in Ripon, Yorkshire, England; † 23. Oktober 2007 in Cambridge) war eine der führenden Autoritäten auf dem Gebiet der Angewandten Wahrscheinlichkeit und der Datenanalyse. Bekannt wurde die von ihm entwickelte Kendall Notation… …   Deutsch Wikipedia

  • Queueing theory — is the mathematical study of waiting lines (or s ). The theory enables mathematical analysis of several related processes, including arriving at the (back of the) queue, waiting in the queue (essentially a storage process), and being served by… …   Wikipedia

  • List of mathematics articles (K) — NOTOC K K approximation of k hitting set K ary tree K core K edge connected graph K equivalence K factor error K finite K function K homology K means algorithm K medoids K minimum spanning tree K Poincaré algebra K Poincaré group K set (geometry) …   Wikipedia

  • Queueing model — In queueing theory, a queueing model is used to approximate a real queueing situation or system, so the queueing behaviour can be analysed mathematically. Queueing models allow a number of useful steady state performance measures to be determined …   Wikipedia

  • Birth-death process — The birth death process is a special case of Continuous time Markov process where the states represent the current size of a population and where the transitions are limited to births and deaths. Birth death processes have many application in… …   Wikipedia

  • M/M/1 model — The M/M/1 is a single server queue model, that can be used to approximate a lot of simple systems.Following Kendall s notation it indicates a system where: *Arrivals are a Poisson process; *Service time is exponentially distributed; *There is one …   Wikipedia

  • Depiction — is meaning conveyed through pictures. Basically, a picture maps an object to a two dimensional scheme or picture plane. Pictures are made with various materials and techniques, such as painting, drawing, or prints (including photography and… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”