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A Band and Bound Technique for Simple Random Algorithms

Published online by Cambridge University Press:  27 July 2009

Vernon Rego
Vernon Rego
Affiliation:
Department of Computer SciencesPurdue University West Lafayette, Indiana 47907
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Abstract

A simple random algorithm (SRA) is an algorithm whose behavior is governed by a first-order Markov chain. The expected time complexity of an SRA, given its initial state, is essentially the time to absorption of the underlying chain. The standard approach in computing the expected runtime is numerical. Under certain conditions on the probability transition matrix of an SRA, bounds on its expected runtime can be obtained using simple probabilistic arguments. In particular, one can obtain upper and lower (average time) logarithmic bounds for certain algorithms based on SRAs.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 4 , Issue 3 , July 1990 , pp. 333 - 344
Copyright
Copyright © Cambridge University Press 1990

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References

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