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A duality based framework for integrating reliability and precision for sensor network design

DSpace at IIT Bombay

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Title A duality based framework for integrating reliability and precision for sensor network design
 
Creator KOTECHA, PRAKASH R
BHUSHAN, MANI
GUDI, RD
KESHARI, MK
 
Subject linear programming
reliability analysis
problem solving
optimization
machine design
 
Description In sensor network design literature, requirements such as maximization of the network reliability [Y. Ali, S. Narasimhan, Sensor network design for maximizing reliability of linear processes, AIChE J. 39 (1993) 820–828; Y. Ali, S. Narasimhan, Redundant sensor network design for linear processes, AIChE J. 41 (1995) 2237–2249] and minimization of cost subject to precision constraints [M. Bagajewicz, Design and retrofit of sensor networks in process plants, AIChE J. 43 (1997) 2300–2306; M. Bagajewicz, E. Cabrera, New MILP formulation for instrumentation network design and upgrade, AIChE J. 48 (2002) 2271–2282] have been proposed as a criteria for optimally locating sensors. In this article, we show that the problems of maximizing reliability and maximizing precision (or minimizing variance) for linear processes are dual of each other. To achieve this duality, we propose transformations which can be used to convert sensor failure probabilities into equivalent sensor variances and vice versa. Thus, the duality enables working in a single framework with specified criteria on reliability as well as precision. As an application of this duality, we propose two formulations for the sensor network design problem viz., maximization of the network reliability subject to precision constraints and minimization of the network variance subject to reliability constraints. We also show the utility of these formulations to determine the pareto-front for the combinatorial sensor network design problem. Hydrodealkylation and steam-metering case studies are used to illustrate the proposed ideas.
 
Publisher Elsevier
 
Date 2009-03-05T08:23:22Z
2011-11-25T18:33:39Z
2011-12-26T13:06:57Z
2011-12-27T05:54:55Z
2009-03-05T08:23:22Z
2011-11-25T18:33:39Z
2011-12-26T13:06:57Z
2011-12-27T05:54:55Z
2008
 
Type Article
 
Identifier Journal of Process Control 18(2), 189-201
0959-1524
http://dx.doi.org/10.1016/j.jprocont.2007.06.005
http://hdl.handle.net/10054/870
http://dspace.library.iitb.ac.in/xmlui/handle/10054/870
 
Language en