Little’s Law & My Sandwich

Posted in me, queuing theory by Francisco Marco-Serrano @ Mar 26, 2009

This morning, while having breakfast (nice cup of coffee and a sandwich), it came to my mind the queueing theory (probably because yesterday, while driving to Valencia, I remembered one of the first chapters of Numb3rs, when Charlie uses this theory to explain a car accident).

Summarising, Little’s Law JUST (like if it was small talk) says is the average number of units in an stable system (when in the long-term), equals the long-term rate of arrival (gamma) times the long-term average time this unit spends on the system.

 

L = [gamma] x W

 

So, where else does my sandwich fits on this?.  Don’t you know?: my mouth can taste on average that many units related to the speed and pace of bitting, drinking, swallowing… but only if eating a sandwich could be considered as a long-term activity…

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No matter…

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Posted in computing, queuing theory by Francisco Marco-Serrano @ Apr 16, 2008

…why my system gets too fast!!! NO VISITS!!!!!!!!!!!!!!!!!!

 

Let’s take a look to an interesting application of "queueing theory" explaining the basic model and its use on calculating the slope of tardiness for a website (is yours crashing?).

 

Why Application Servers Crash and How to Avoid It

 

Enjoy it!

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More on Queues

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Posted in queuing theory by Francisco Marco-Serrano @ Nov 13, 2006

nPlenty of sorrow for failling to my word. I should’ve written this post yesterday, but “all my troubles seem so far away” that I slept on Sunday.

Brazilian queue, let’s see. The good thing there is they respect pregnants and senior citizens. I’m not saying they don’t do in Great Britain, though, just saying here in Brazil they give way!. The British queue I most remember is that one for checking in (everywhere): one queue leading to several desks, so no one felt angry when your queue tends to be the slowest one (usually mine!).
We queue here and there, our life is a queue, a long one, from birth to death. However, there’s this amazing set of tools, smartly named “queuing theory”, that helps us to manage our life, our supermarkets, banks, airports, supply chains, and so on. Thanks again OR!.

Fancy a Poisson distribution?.

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