Random breakage of a rod into unit lengths

Joe Gani; Randall Swift

doi:10.4169/college.math.j.42.3.201

Random breakage of a rod into unit lengths

Joe Gani^*, Randall Swift

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this article we consider the random breakage of a rod into L unit elements and present a Markov chain based method that tracks intermediate breakage configurations. The probability of the time to final breakage for L = 3, 4, 5 is obtained and the method is shown to extend in principle, beyond L = 5.

Original language	English
Pages (from-to)	201-205
Number of pages	5
Journal	College Mathematics Journal
Volume	42
Issue number	2
DOIs	https://doi.org/10.4169/college.math.j.42.3.201
Publication status	Published - Mar 2011

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10.4169/college.math.j.42.3.201

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title = "Random breakage of a rod into unit lengths",

abstract = "In this article we consider the random breakage of a rod into L unit elements and present a Markov chain based method that tracks intermediate breakage configurations. The probability of the time to final breakage for L = 3, 4, 5 is obtained and the method is shown to extend in principle, beyond L = 5.",

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year = "2011",

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AB - In this article we consider the random breakage of a rod into L unit elements and present a Markov chain based method that tracks intermediate breakage configurations. The probability of the time to final breakage for L = 3, 4, 5 is obtained and the method is shown to extend in principle, beyond L = 5.

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U2 - 10.4169/college.math.j.42.3.201

DO - 10.4169/college.math.j.42.3.201

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JO - College Mathematics Journal

JF - College Mathematics Journal

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Random breakage of a rod into unit lengths

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