{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T14:15:24Z","timestamp":1761488124243},"reference-count":47,"publisher":"University of Zielona G\u00f3ra, Poland","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008,9,1]]},"abstract":"<jats:title>Mobile Sensor Routing for Parameter Estimation of Distributed Systems Using the Parallel Tunneling Method<\/jats:title><jats:p>The paper deals with the problem of optimal path planning for a sensor network with mutliple mobile nodes, whose measurements are supposed to be primarily used to estimate unknown parameters of a system modelled by a partial differential equation. The adopted framework permits to consider two- or three-dimensional spatial domains and correlated observations. Since the aim is to maximize the accuracy of the estimates, a general functional defined on the relevant Fisher information matrix is used as the design criterion. Central to the approach is the parameterization of the sensor trajectories based on cubic B-splines. The resulting finite-dimensional global optimization problem is then solved using a parallel version of the tunneling algorithm. A numerical example is included to clearly demonstrate the idea presented in the paper.<\/jats:p>","DOI":"10.2478\/v10006-008-0028-5","type":"journal-article","created":{"date-parts":[[2008,10,7]],"date-time":"2008-10-07T16:00:58Z","timestamp":1223395258000},"page":"307-318","source":"Crossref","is-referenced-by-count":7,"title":["Mobile Sensor Routing for Parameter Estimation of Distributed Systems Using the Parallel Tunneling Method"],"prefix":"10.61822","volume":"18","author":[{"given":"Tomasz","family":"Zi\u0119ba","sequence":"first","affiliation":[]},{"given":"Dariusz","family":"Uci\u0144ski","sequence":"additional","affiliation":[]}],"member":"37438","reference":[{"key":"1","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780199296590.001.0001","author":"A. Atkinson","year":"2007","journal-title":"Optimum Experimental Designs, with SAS"},{"key":"2","author":"H. 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