2013
DOI: 10.1016/j.trc.2013.09.006
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Routing hazardous materials on time-dependent networks using conditional value-at-risk

Abstract: We propose a new method for mitigating risk in routing hazardous materials (hazmat), based on the conditional value-at-risk (CVaR) measure on time-dependent vehicular networks. The CVaR models are shown to be flexible and suitable for hazmat transportation that can be solved efficiently. This paper extends the previous research by considering CVaR for hazmat transportation in the case where accident probabilities and accident consequences are time-dependent. We provide a numerical method to determine an optima… Show more

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Cited by 90 publications
(49 citation statements)
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“…This is likely due to the greater importance and effectiveness of route selection on risk mitigation of supply chain networks. They are typically formulated as optimization problem where the minimization of cost, risk, or both objectives and risk equity constraints in hazmat transportation networks (Carotenuto et al 2007;Toumazis and Kwon 2013;Kang et al 2014b) are considered. Sometimes, intermodal routes are taken into consideration in the optimization model in order to satisfy customer delivery times (Verma and Verter 2010;Verma et al 2012).…”
Section: Literature Reviewmentioning
confidence: 99%
See 1 more Smart Citation
“…This is likely due to the greater importance and effectiveness of route selection on risk mitigation of supply chain networks. They are typically formulated as optimization problem where the minimization of cost, risk, or both objectives and risk equity constraints in hazmat transportation networks (Carotenuto et al 2007;Toumazis and Kwon 2013;Kang et al 2014b) are considered. Sometimes, intermodal routes are taken into consideration in the optimization model in order to satisfy customer delivery times (Verma and Verter 2010;Verma et al 2012).…”
Section: Literature Reviewmentioning
confidence: 99%
“…If the number of hazmat accidents on link (i, j) ∈ A l is assumed to follow a Poisson distribution with parameter μ i j , then the expected accident probability is estimated based on 1 μ i j . In this numerical analysis, the formulation given by Toumazis and Kwon (2013) is used for the estimation of μ i j :…”
Section: Network Informationmentioning
confidence: 99%
“…CVaR was first used in the financial sector to optimize portfolio [5]. Based on the good nature of CVaR used in a financial portfolio, Kwon et al [6] mainly studied the application of VaR and CVaR in hazmat transport, assume the probability of risk occurrence and consequences as a function of time. The above literatures laid a solid foundation to the study of CVaR optimization in hazmat transport.…”
Section: Reviewsmentioning
confidence: 99%
“…For a certain origin-destination (OD)pair, there are many connecting paths l L  , each path l consists of many segments l j A  , the consequences of risk occurrence is ij C and the corresponding probability of risk-happening is p ij ; The conditional value at risk can be expressed as (6). ij x indicates whether choose a path for transport.…”
Section: Model Of Single Transportation Mode Of Hazmat Based On Cvarmentioning
confidence: 99%
“…In addition, Artzner et al (1999) introduced positive homogeneity and Kusuoka (2001) formally addressed the property of law invariance, which together naturally lead to the use of a measure known as conditional value at risk (CVaR) (see Artzner et al 1999, Rockafellar andUryasev 2000). Although the CVaR measure is now being used in a wide range of applications such as healthcare (see Chan et al 2014), supply chain (see Carneiro et al 2010), network design (see Babazadeh et al 2011), vehicle routing (see Toumazis and Kwon 2013), energy (see Jabr 2005), etc., there is still some resistance toward adopting such a measure as a gold standard. Perhaps one of the most important issues is that the class of CVaR measures can only capture a limited spectrum of risk attitudes and thus might not be able to accurately represent the risk aversion of some coherent decision or policy makers.…”
Section: Introductionmentioning
confidence: 99%