Constructing efficient strategies for the process optimization by restart

Optimization of the mean completion time of random processes by restart is a subject of active theoretical research in statistical physics and has long found practical application in computer science. Meanwhile, one of the key issues remains largely unsolved: how to construct a restart strategy for...

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Published inPhysical review. E Vol. 109; no. 5-1; p. 054117
Main Authors Nikitin, Ilia, Belan, Sergey
Format Journal Article
LanguageEnglish
Published United States 01.05.2024
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Abstract Optimization of the mean completion time of random processes by restart is a subject of active theoretical research in statistical physics and has long found practical application in computer science. Meanwhile, one of the key issues remains largely unsolved: how to construct a restart strategy for a process whose detailed statistics are unknown to ensure that the expected completion time will reduce? Addressing this query here we propose several constructive criteria for the effectiveness of various protocols of noninstantaneous restart in the mean completion time problem and in the success probability problem. Being expressed in terms of a small number of easily estimated statistical characteristics of the original process (MAD, median completion time, low-order statistical moments of completion time), these criteria allow informed restart decision based on partial information.
AbstractList Optimization of the mean completion time of random processes by restart is a subject of active theoretical research in statistical physics and has long found practical application in computer science. Meanwhile, one of the key issues remains largely unsolved: how to construct a restart strategy for a process whose detailed statistics are unknown to ensure that the expected completion time will reduce? Addressing this query here we propose several constructive criteria for the effectiveness of various protocols of noninstantaneous restart in the mean completion time problem and in the success probability problem. Being expressed in terms of a small number of easily estimated statistical characteristics of the original process (MAD, median completion time, low-order statistical moments of completion time), these criteria allow informed restart decision based on partial information.
Author Nikitin, Ilia
Belan, Sergey
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  organization: <a href="https://ror.org/00z65ng94">Landau Institute for Theoretical Physics</a>, Russian Academy of Sciences, 1-A Akademika Semenova av., 142432 Chernogolovka, Russia and <a href="https://ror.org/055f7t516">National Research University Higher School of Economics</a>, Faculty of Physics, Myasnitskaya 20, 101000 Moscow, Russia
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  givenname: Sergey
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  organization: <a href="https://ror.org/00z65ng94">Landau Institute for Theoretical Physics</a>, Russian Academy of Sciences, 1-A Akademika Semenova av., 142432 Chernogolovka, Russia and <a href="https://ror.org/055f7t516">National Research University Higher School of Economics</a>, Faculty of Physics, Myasnitskaya 20, 101000 Moscow, Russia
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