The expected length of a random line segment in a rectangle. (Q1417584)
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scientific article; zbMATH DE number 2021236
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The expected length of a random line segment in a rectangle. |
scientific article; zbMATH DE number 2021236 |
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The expected length of a random line segment in a rectangle. (English)
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5 January 2004
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The author investigates the expected length of a random line segment in a rectangle with sides of given length \(a\) and \(b\). This problem arises in telecommunication network design, when customer locations are not known a priori. Depending on a definition of randomness, the problem has different answers. The results are therefore compared with results obtained by a different procedure for defining a random line segment in a rectangle. Relations to the so called Bertrand's paradox are shortly discussed.
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stochastic model applications
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graphs
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network models
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