Just about everyone has had that experience: You're standing in line at a store and every time you look to the side you see the other lines moving faster than yours. Aargh! Why is that always the case?

It turns out that not only is the other line actually likely to be moving faster than yours, there is a good mathematical reason for this phenomenon.

Queueing Theory

The study of waiting lines is known as queueing theory. What is considered the first paper in the discipline, the Theory of Probabilities and Telephone Conversations, was written by Danish mathematician and engineer Agner Krarup Erlang and published in Nyt Tidsskrift for Matematik B, vol 20, in 1909. In the paper he examined the problem of how many phone lines it would take to adequately serve a town.

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