Asymmetric weighted voting systems

Levitin, Gregory

doi:10.1016/s0951-8320(02)00012-1

Cited by 21 publications

(18 citation statements)

References 6 publications

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“…Decision-making systems have recently become an area of intense activity because of their potential for application to areas such as security, target identification, and safety and monitoring (Kam et al, 1991;Viswanathan and Varshney, 1997;Nordmann and Pham, 1999;Levitin, 2002aLevitin, , 2002b. Nordmann and Pham (1999) provide an example concerning target identification and pattern recognition in which an object needs to be identified based on some of its attributes.…”

Section: Introductionmentioning

confidence: 99%

“…Similarly, for safety, security and monitoring different units may be used to observe some proposition and make a decision about its criticality. In summary, Levitin (2002aLevitin ( , 2002b) notes application to areas as diverse as data handling and multi-channel signal processing.…”

Section: Introductionmentioning

confidence: 99%

“…Within this area of research, one of the systems analyzed is known as the Weighted Voting System (WVS) (Nordmann and Pham, 1999;Levitin and Lisnianski, 2001;Levitin, 2002aLevitin, , 2002bLevitin, , 2005. A WVS is comprised of a specified number of units that independently exercise a decision (vote) about a proposition presented to the system.…”

Section: Introductionmentioning

confidence: 99%

“…Based on the definition of WVS reliability, Levitin (2002b) has modeled a WVS by considering that the same binary proposition I is presented to each of the units of the system. The value of the proposition is either zero if the proposition should be rejected or one if the proposition should be accepted.…”

Section: Introductionmentioning

confidence: 99%

“…Once all units have exercised their votes, the system decision is represented by a binary function, D(I). This function aggregates the unit votes in terms of weights and as defined by Levitin (2002b) generates an outcome as follows:…”

Section: Introductionmentioning

confidence: 99%

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Holistic reliability analysis of weighted voting systems from a multi-state perspective

Ramírez-Márquez

2007

IIE Transactions

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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 votes into the right decision when presented with such a proposition. This paper presents a holistic work on weighted voting system reliability by presenting modeling, computation, estimation and optimization techniques. The modeling part takes advantage of the structure of weighted voting systems to present a model of its reliability as a multi-state system. Next, based on the multi-state view of the system, an exact computational approach based on multi-state minimal cut and path vectors is introduced. The paper then acknowledges the computational complexity of the problem and provides a Monte Carlo simulation approach that estimates system reliability accurately and in an efficient computational time. Finally, an optimization heuristic that generates quasi-optimal solutions is presented that is able to solve the problem of maximizing the reliability of a weighted voting system based on a specified number of decision-making units with known reliability characteristics.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Holistic reliability analysis of weighted voting systems from a multi-state perspective

Ramírez-Márquez

2007

IIE Transactions

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Reliability evaluation for wireless sensor networks with chain structures using the universal generating function

Liu

Yin

Yang

et al. 2017

Quality & Reliability Eng

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In different protocols, wireless sensor networks (WSNs) form different topologies. The reliability evaluation of a WSN whose topology is a chain is studied in this paper. A bidirectional data transmission tree (BDTT) model is established to describe the process of data fusion and transmission on a WSN with a chain structure. From the characteristics of the measurement errors, the number of fusions, and measurement credibility, 3 definitions for the reliability of a BDTT are presented. Based on the universal generating function technique, an algorithm is suggested for evaluating the reliability of a BDTT. In the algorithm, a BDTT model is divided into 2 branches, and 2 new composition operators are defined according to data fusion and transmission. We use the first operator to obtain the u‐function of each branch and the second one to combine the u‐functions of 2 branches and obtain the u‐function of the BDTT. The process of calculating the reliability of a BDTT is illustrated with an example, and the effects of measurement errors, the number of fusions, and measurement credibility on the system reliability are analyzed.

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Weighted Voting Systems

Zhang

2023

Springer Handbook of Engineering Statistics

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Asymmetric weighted voting systems

Cited by 21 publications

References 6 publications

Holistic reliability analysis of weighted voting systems from a multi-state perspective

Holistic reliability analysis of weighted voting systems from a multi-state perspective

Reliability evaluation for wireless sensor networks with chain structures using the universal generating function

Weighted Voting Systems

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