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Choosing restart strategy at partial knowledge of process statistics

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arXiv:2309.05877v3 Announce Type: replace
Abstract: Optimization of a 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: when should we restart a process whose detailed statistics are unknown to ensure that our intervention will improve performance? Addressing this query here we propose several constructive criteria for the effectiveness of various protocols of non-instantaneous 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, these criteria allow informed restart decision based on partial information.

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