Theory and applications of an integrated model for capacitated-flow network reliability analysis

2021 ◽  
pp. 107877
Author(s):  
Ping-Chen Chang
Author(s):  
Bernard Igbafen Izevbekhai ◽  
Norma Farah ◽  
Glenn M. Engstrom

Minnesota Department of Transportation (MnDOT) has studied pavement performance associated with various interventions in the road network. In this study, unbonded overlay, a major concrete pavement intervention known for its long service life, was examined. Curve fitting was performed, including a comparison of the current decay curves with previous patterns toward a default performance curve, stepwise regression to identify performance variables associated with and predictive of remaining service life (RSL), and reliability (Weibull) analysis to examine the reliability and other performance characteristics of unbonded overlay in the Minnesota network. Reliability analysis resulted in a RSL (scale parameter) of 36 years, which was reasonably consistent with the 35.5 year RSL derived from the MnDOT Highway Pavement Management Analysis (HPMA). It also provided evidence that the unbonded overlay displays an end-of-life failure pattern as well as a 7-year threshold time to failure (location parameter). MnDOT’s sigmoidal decay model predicted the same expected service life (35.5 years) as did the Weibull analysis process (35.8 years). Stepwise linear regression showed a positive correlation between the time from the most recent rehabilitation (TTR_MR) and RSL. The other explanatory variables including RQI_Spike and time from original construction to intervention (TTR) were found to be non-significant in the prediction of RSL.


Author(s):  
Shin-Guang Chen

A stochastic-flow network (SFN) is a network whose flow has stochastic behavior or probabilistic multi-states. A timed stochastic-flow network (TSFN) is a SFN whose flow spends time to go through the network. Traditionally, the evaluation of network reliability does not consider time consumption for the flow to get through the network. However, there are lots of daily-life networks which can be regarded as TSFNs, such as the transportation network, the production network, etc. Their flow spends time to get through the network, and they are not yet explored in the literature. This paper proposes approaches to evaluate the reliability of such networks. Some numerical examples are discussed to illustrate the proposed method.


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