Optimal routing of hazardous materials considering risk of spill

Value-at-Risk and Conditional Value-at-Risk Minimization for Hazardous Materials Routing

“…In hazmat transportation there are two main research areas: risk assessment (e.g. Abkowitz et al, 1984;Patel and Horowitz, 1994) and hazmat shipments planning (e.g. List et al, 1991;Erkut et al, 2007).…”

Methodological Advances and New Formulations for Bilevel Network Design Problems

“…The literature introduces different methods for calculating the influence of an accident on an arc: Batta and Chiu (1988) use a fixed bandwidth around the route segment, Erkut and Verter (1998) define a danger circle and Patel and Horowitz (1994) use a Gaussian plume model to define the impact of airborne hazmat accidents. We assume that these influence factors are given.…”

“…All these models assume that the impact of an accident is the same for every person within the danger area without depending on the distance to the origin of the accident. Since the impact of an airborne hazmat is significantly different from all others, Patel and Horowitz (1994) used the Gaussian plume model to express the consequence of such an incident. …”

Generalized route planning model for hazardous material transportation with VaR and equity considerations

“…Much work has been done in risk modeling with a focus on probabilistic distribution of the risk over given areas: considering the risk related to the types of hazmat [2], using Geographic Information Systems [42], measuring the impact area of hazmat accidents [5], studying various transport modes [2], and assuming the accident probabilities known [33] or unknown [6].…”