Connectivity reliability in uncertain networks with stability analysis

Hosseini, S A; Wadbro, Eddie

doi:10.1016/j.eswa.2016.03.040

Cited by 27 publications

(7 citation statements)

References 27 publications

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“…Hosseini and Wadbro [23] studied the essential problems of reliability and stability analysis in uncertain networks. They used uncertainty theory to make sure the arrival of relief materials and rescue vehicles to the disaster areas is in time.…”

Section: Reliabilitymentioning

confidence: 99%

Cooperative Strategies for Maximum-Flow Problem in Uncertain Decentralized Systems Using Reliability Analysis

gharehbolagh

Hafezalkotob

Makui

et al. 2016

Mathematical Problems in Engineering

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This study investigates a multiowner maximum-flow network problem, which suffers from risky events. Uncertain conditions effect on proper estimation and ignoring them may mislead decision makers by overestimation. A key question is how self-governing owners in the network can cooperate with each other to maintain a reliable flow. Hence, the question is answered by providing a mathematical programming model based on applying the triangular reliability function in the decentralized networks. The proposed method concentrates on multiowner networks which suffer from risky time, cost, and capacity parameters for each network’s arcs. Some cooperative game methods such asτ-value, Shapley, and core center are presented to fairly distribute extra profit of cooperation. A numerical example including sensitivity analysis and the results of comparisons are presented. Indeed, the proposed method provides more reality in decision-making for risky systems, hence leading to significant profits in terms of real cost estimation when compared with unforeseen effects.

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Section: Reliabilitymentioning

confidence: 99%

Cooperative Strategies for Maximum-Flow Problem in Uncertain Decentralized Systems Using Reliability Analysis

gharehbolagh

Hafezalkotob

Makui

et al. 2016

Mathematical Problems in Engineering

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“…Researchers have proposed various effectiveness measures for analyzing transportation reliability. Connectivity reliability [4], travel time reliability [5] and capacity reliability [6] have been widely used to measure the reliability of transportation networks. Connectivity reliability is a measure of the number of connected nodes in a transportation network.…”

Section: Introductionmentioning

confidence: 99%

Connectivity Reliability on an Urban Rail Transit Network from the Perspective of Passenger Travel

et al. 2019

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Under the background of urbanization and the rapid development of urban rail transit (URT), serious attention has been focused on URT network reliability in recent years. In this work, in order to measure network reliability, three indicators are constructed based on passengers' tolerable travel paths, passenger travel efficiency and passenger travel realization on a URT network. The passenger tolerability coefficient, which is the ratio of passengers' tolerable travel time to the shortest possible travel time, is proposed and added to the indicators. It reflects passengers' behavior with respect to choice of travel paths. The ratio of affected passenger volume (RAPV) is proposed to identify important stations. Finally, the connectivity reliability of Wuhan's subway network is analyzed by simulating attacks on stations. The results show that the degree centrality, betweenness centrality and RAPV indicators of stations can effectively identify the important stations that have a significant impact on the connectivity reliability of the network. In particular, the RAPV indicator effectively identifies stations that have the greatest influence on passenger travel realization. The connectivity reliability of Wuhan's subway network is sensitive to passenger tolerability coefficient, and reliability is greater during non-peak hours than during peak hours. In addition, the stations that are important to the connectivity reliability of the Wuhan subway have two features, i.e., they are located at the center of the city, and they are important for connecting subgraphs of the network.

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“…Yang and Ralescu [23] propose a new Adams method for solving uncertain differential equations. Hosseini and Wadbro [24] have conducted an analysis of reliability and stability in uncertain networks. Some scholars have carried out research on uncertain programming problems.…”

Section: Introductionmentioning

confidence: 99%

Uncertain random assignment problem

Ding

Zeng

2018

Applied Mathematical Modelling

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This paper proposes an uncertain random assignment problem in which random variables coexist with uncertain variables. Critical values of uncertain random variables are used to rank uncertain random variables. An uncertain random simulation algorithm is developed in order to obtain chance distributions and critical values of uncertain random variables. An α-optimistic model is presented. A combined optimization approach is designed to solve the α-optimistic model. This approach incorporates uncertain random simulation into branch and bound algorithm. Finally, an example application of the approach is presented.

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Connectivity reliability in uncertain networks with stability analysis

Cited by 27 publications

References 27 publications

Cooperative Strategies for Maximum-Flow Problem in Uncertain Decentralized Systems Using Reliability Analysis

Cooperative Strategies for Maximum-Flow Problem in Uncertain Decentralized Systems Using Reliability Analysis

Connectivity Reliability on an Urban Rail Transit Network from the Perspective of Passenger Travel

Uncertain random assignment problem

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