Abstract:The computation of the reliability of weighted voting systems is an important problem in reliability theory due to its potential application in security, target identification, safety and monitoring areas. Voting systems are used in a wide variety of applications where an acceptance or rejection decision has to be made about a binary proposition presented to the system. For these systems, it is of interest to obtain the probability so that based on the vote of decision-making units, the system aggregates these… Show more
“…A vast literature focused on reliability concepts and estimation (KAPUR; LAMBERSON, 1977;O'CONNOR, 1985;CHING et al, 2005;ELSAYED, 2006;VIERTL, 2008;NEIL et al, 2008), optimization, allocation and redundancy SMITH, 1995;MAJETY et al, 1999;KUO, 2000;ELEGBEDE;CHU, 2003;RAMIREZ -MARQUEZ et al, 2004aBIER, 2007;LIANG et al, 2008) has emerged in recent years. Intense effort has also been devoted to the multistate problem (LISNIANSKI; LEVITIN, 2003;MUSELLI, 2005;RAMIREZ-MARQUEZ;COIT, 2004bCOIT, , 2005RAMIREZ-MARQUEZ et al, 2006a, 2006bTIAN et al, 2008;RAMIREZ-MARQUEZ;.…”
Section: Introductionmentioning
confidence: 99%
“…Major efforts performed in this field seem to be focused on (i) the development of methods to evaluate the reliability of systems composed of identical and non-identical components, and (ii) on the optimization of a system reliability subjected to structural constraints (LEVITIN; LISNIANSKI, 2001;RAMIREZ-MARQUEZ;.…”
Section: Introductionmentioning
confidence: 99%
“…Also using GA techniques, Levitin (2002a) has suggested an algorithm to identify the optimal structure of systems composed of different open and short failure probability devices; the approach followed a series-parallel configuration. In addition, an optimization heuristic for maximizing the reliability of multi-state weighted voting systems based on a defined number of components with known reliability properties was suggested in Ramirez-Marquez (2008).…”
“…A vast literature focused on reliability concepts and estimation (KAPUR; LAMBERSON, 1977;O'CONNOR, 1985;CHING et al, 2005;ELSAYED, 2006;VIERTL, 2008;NEIL et al, 2008), optimization, allocation and redundancy SMITH, 1995;MAJETY et al, 1999;KUO, 2000;ELEGBEDE;CHU, 2003;RAMIREZ -MARQUEZ et al, 2004aBIER, 2007;LIANG et al, 2008) has emerged in recent years. Intense effort has also been devoted to the multistate problem (LISNIANSKI; LEVITIN, 2003;MUSELLI, 2005;RAMIREZ-MARQUEZ;COIT, 2004bCOIT, , 2005RAMIREZ-MARQUEZ et al, 2006a, 2006bTIAN et al, 2008;RAMIREZ-MARQUEZ;.…”
Section: Introductionmentioning
confidence: 99%
“…Major efforts performed in this field seem to be focused on (i) the development of methods to evaluate the reliability of systems composed of identical and non-identical components, and (ii) on the optimization of a system reliability subjected to structural constraints (LEVITIN; LISNIANSKI, 2001;RAMIREZ-MARQUEZ;.…”
Section: Introductionmentioning
confidence: 99%
“…Also using GA techniques, Levitin (2002a) has suggested an algorithm to identify the optimal structure of systems composed of different open and short failure probability devices; the approach followed a series-parallel configuration. In addition, an optimization heuristic for maximizing the reliability of multi-state weighted voting systems based on a defined number of components with known reliability properties was suggested in Ramirez-Marquez (2008).…”
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.