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21 May 2018

Credibility and the Internet: Queuing Theory

This was old news about queues back in the 1990s, yet it was written up as an (Inderscience) journal article, and received coverage as though a new finding in the June 2010 issue of ScienceDaily, an online "new discoveries!" update service owned by Reuters. See footnote #1 for even more.

M/M/1 queues, Kendall notation, and models of balking and reneging behavior are certainly useful. However, the concepts and most models have been well-established for at least forty years.

This Wiley text book, Fundamentals of Queueing Theory, was published in 1998.



An earlier edition was published in 1983, and explains in detail the theory and application of the concepts presented in the journal article summarized by ScienceDaily in 2010.

A little more about M/G/1

Over at Math StackExchange, I noticed a rare inquiry. If you're curious to learn more about queues, go read my answer to this question, Kendall notation's “General distribution”, what does that mean?

I found this comment endearing:

Oh I thought that this stuff wasn't even used in real life jobs... I thought it was merely theoretical, but seems that I'm wrong!
I'm okay with the G general theory [G as the general case when you just don't know what sort of service time distribution to expect] since I'm not required to study it for now (I'm following an academic course), I just wanted to understand what the G meant and you helped me in that. Do you have any experience with multi-class queues too?

Reference
  1. Liao et al. "Optimal staffing policy for queueing systems with cyclic demands." International Journal of Services and Operations Management, 2010; 7: 317-332.

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