Distributed asynchronous algorithms with stochastic delays for constrained optimization problems with conditions of time drift

A distributed asynchronous algorithm for minimizing a function with a nonstationary minimum over a constraint set is considered. The communication delays among the processors are assumed to be stochastic with Markovian character. Conditions which guarantee the mean square and almost sure convergence...

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Vydáno v:Parallel computing Ročník 21; číslo 9; s. 1431 - 1450
Hlavní autoři: Beidas, Bassem F., Papavassilopoulos, George P.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Amsterdam Elsevier B.V 01.09.1995
Elsevier
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ISSN:0167-8191, 1872-7336
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Shrnutí:A distributed asynchronous algorithm for minimizing a function with a nonstationary minimum over a constraint set is considered. The communication delays among the processors are assumed to be stochastic with Markovian character. Conditions which guarantee the mean square and almost sure convergence to the sought solution are presented. We also present an optimal routing application for a network that connects various U.S. cities. Results of the extensive simulation that we implemented assert the practical applicability of distributed asynchronous algorithms with stochastic delays. Comparison results for varying the probability distribution of these delays are provided. The impact of varying the communication delay bound and the stepsize is also assessed.
ISSN:0167-8191
1872-7336
DOI:10.1016/0167-8191(95)00005-9