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Queuing Theory Articles

Queueing Theory is is the mathematical study of waiting lines, or queues. Queueing Theory enables mathematical analysis of several related processes, including the following:

  • On average, how many will arrive at the (back of the line) queue?
  • On average, how long will one wait in the queue?
  • On average, how long will one wait until being served at the front of the queue?

Below are several posts on Queueing Theory. I’ll be adding to this page periodically — applications, best practices, and general items:

Software Development is Queue Management

by Pete Abilla on June 1, 2010

Little’s Law is an incredibly helpful principle for business. Unfortunately, it is not used enough, or it is poorly understood. As review, Little’s Law: For a Queueing (Queuing) System in steady state, the average length L of the queue equals the average arrival rate λ times the average waiting time W. Or, L = λW [...]

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A Fulfillment Center is a Queueing System

by Pete Abilla on May 30, 2010

A Queueing (Queuing) System is a structure where things arrive (anything, including people), they join a line, wait for service.  After being served, they exit the system. One result of Queueing Theory is Little’s Law: Little’s Law: For a Queueing (Queuing) System in steady state, the average length L of the queue equals the average [...]

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Queue Shapes, Culturally Influenced

by Pete Abilla on May 20, 2010

Does the shape of the queue matter?  What determines how waiting lines are organized? A provocative young artist recently published a set of infographics that compare the differences between the West and the East.  In one of those, she portrays the differences in waiting between the West and the East. In that infographic, you get [...]

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Child Adoption, Queueing, and Waste (Muda)

by Pete Abilla on April 8, 2010

We’ve adopted four beautiful kids; in addition to our biological kids, that makes for a big family.  Yeah, I know. Crazy.  But, we’re happy. Aside from the obscene amount of money we’ve spent on adopting four kids – none of which I regret – we’ve also spent a lot of time.  In fact, all of [...]

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A Bracket is a Queue

by Pete Abilla on March 31, 2010

We’re accustomed to viewing queues as serial lines, or people waiting to be served.  But, not much thought is given to the shapes of queues. Well, a Bracket is a type of Queue. In general, a queue is a line of people or things waiting to be handled, sometimes in sequential order starting at the [...]

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Staring at Acoustic Ceiling Tiles

by Pete Abilla on January 25, 2010

There is a Design Thinking opportunity to Emergency Room care.  In my previous post, I discussed the time involved in waiting to receive care -queueing properties of ER care.  What I didn’t discuss is the feeling and experience of the patient during care.  That’s the topic for this post today. We know that ER Wait [...]

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On Queueing, Oil Change, and Customer Experience

by Pete Abilla on April 2, 2009

Earlier this week, I went to Jiffy Lube to get my oil change. I once worked for a person responsible for the redesign of many waiting rooms in various industries, so I went with an observant eye, looking for the items that he taught me about in his ethnographic work.   It was a very [...]

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Attitude and the Pyschology of Queueing

by Pete Abilla on February 2, 2008

I took the kids to see a movie at a nearby dollar theater many weeks ago.  We saw Mr. Magorium’s Wonder Emporium and some parts of that movie has stayed with me.  I thought that the movie was actually very good: it was an overall very good feel-good movie, with a very good message.  One [...]

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