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

Access to Document

10.4169/college.math.j.42.3.201

Cite this

@article{8de02fcbdac84ab38768ec487ab2a015,

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.",

author = "Joe Gani and Randall Swift",

year = "2011",

month = mar,

doi = "10.4169/college.math.j.42.3.201",

language = "English",

volume = "42",

pages = "201--205",

journal = "College Mathematics Journal",

issn = "0746-8342",

publisher = "Taylor and Francis Ltd.",

number = "2",

}

TY - JOUR

T1 - Random breakage of a rod into unit lengths

AU - Gani, Joe

AU - Swift, Randall

PY - 2011/3

Y1 - 2011/3

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=84857514160&partnerID=8YFLogxK

U2 - 10.4169/college.math.j.42.3.201

DO - 10.4169/college.math.j.42.3.201

M3 - Article

SN - 0746-8342

VL - 42

SP - 201

EP - 205

JO - College Mathematics Journal

JF - College Mathematics Journal

IS - 2

ER -

Random breakage of a rod into unit lengths

Abstract

Access to Document

Other files and links

Fingerprint

Cite this