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Random breakage of a rod into unit lengths

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Gani, Joseph; Swift, R.J.

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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.

dc.contributor.authorGani, Joseph
dc.contributor.authorSwift, R.J.
dc.date.accessioned2015-12-10T22:26:03Z
dc.identifier.issn1931-1346
dc.identifier.urihttp://hdl.handle.net/1885/53745
dc.description.abstractIn 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.
dc.publisherMathematical Association of America
dc.sourceCollege Mathematics Journal
dc.titleRandom breakage of a rod into unit lengths
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume42
dc.date.issued2011
local.identifier.absfor010299 - Applied Mathematics not elsewhere classified
local.identifier.ariespublicationf5625xPUB282
local.type.statusPublished Version
local.contributor.affiliationGani, Joseph, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationSwift, R.J., California State Polytechnic University
local.description.embargo2037-12-31
local.bibliographicCitation.issue2
local.bibliographicCitation.startpage201
local.bibliographicCitation.lastpage205
local.identifier.doi10.4169/college.math.j.42.3.201
dc.date.updated2015-12-09T09:29:21Z
local.identifier.scopusID2-s2.0-84857514160
CollectionsANU Research Publications

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