Optimal search for moving objects in a discrete domain
type: Item
instance of: scholarly article
zbMATH Open document ID: 1249.90002
author: L. N. Shlepakov
author: N. G. Vovkodav
publication date: 2012-04-04T00:00:00Z
Mathematics Subject Classification ID: 90-02
Mathematics Subject Classification ID: 94A13
Mathematics Subject Classification ID: 90B40
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65-02
Mathematics Subject Classification ID: 90C40
Mathematics Subject Classification ID: 65D32
zbMATH DE Number: 6021803
zbMATH Keywords: signal
zbMATH Keywords: optimal searching
zbMATH Keywords: multi-channel communication system
zbMATH Keywords: Markov process
zbMATH Keywords: semi-Markov process
MaRDI profile type: Publication
title: Optimal search for moving objects in a discrete domain
review text: The authors deal with the problem of optimal searching for signals in a multi-channel communication system with the help of methods of the Markov and semi-Markov process theory. Problems solved by this approach have been collected in the first part of the book \textit{L. N. Shlepakov} and \textit{N. G. Vovkodav} [Pratsi Instytutu Matematyky Natsional'noï\ Akademiï\ Nauk Ukraïny. Matematyka ta ïï\ Zastosuvannya 49. Kyïv: Instytut Matematyky NAN Ukraïny. 214~p. (2003; Zbl 1099.94013)]. The present book contains review of results from the mentioned monograph and proposes a new optimal search solved by the so-called ``phase enlargement method'' (see the book by \textit{V. S. Koroliuk} and \textit{N. Limnios} [Hackensack, NJ: World Scientific. xv, 331~p. (2005; Zbl 1101.60003)] for more results) which makes it possible to simplify the corresponding analytic calculations. There are eight of optimal search for signals in multi-channel communication systems united by a common approach to solving them.NEWLINENEWLINE The book is intended for mathematicians, engineers and students who are interested in applications of probability theory and theory of stochastic processes.
reviewed by: M. P. Moklyachuk
description: scientific article; zbMATH DE number 6021803