Talk:Kendall's notation

Latest comment: 6 years ago by NeilOnWiki in topic What's K in A/S/c/K/N/D?

M for memoryless

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The letter M in Kendall's notation stands for Memoryless, not Markov. The memoryless property of exponential and geometric distributions leads to a Markov process for the number of clients in the system. Markov arrivals are called MAP -Markov Arrival Process-.Marcanho (talk) 14:20, 1 February 2014 (UTC)Reply

Kendall's original paper doesn't explain what the M stands for, he just writes that M is for ("random" or Poissonian) processes. These sources agree with M being for memoryless
  • Harchol-Balter, M. (2012). "M/M/1 and PASTA". Performance Modeling and Design of Computer Systems. p. 236. doi:10.1017/CBO9781139226424.018. ISBN 9781139226424.
  • Bolch, G.; Greiner, S.; de Meer, H.; Trivedi, K. S. (1998). "Single Station Queueing Systems". Queueing Networks and Markov Chains. pp. 209–262. doi:10.1002/0471200581.ch6. ISBN 0471193666.
while these describe M as being for Markov or memoryless
so I think the article should list both and will edit it accordingly. Gareth Jones (talk) 11:53, 2 February 2014 (UTC)Reply

What's K in A/S/c/K/N/D?

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The introduction states that 'K is the capacity of the queue', but this contradicts Kendall's notation#K: The number of places in the system in the main body (except coincidentally for infinite queues, which is the default). I suspect the introduction is inaccurate, but I don't have any consistent references to back that up. Or do different authors use different conventions? NeilOnWiki (talk) 10:43, 6 February 2018 (UTC)Reply