Risk Assessment of Hazardous Materials Transportation Routes Ashrafur Rahman PhD Candidate Nicholas E. Lownes, Ph.D., P.E. Associate Professor Department of Civil and Environmental Engineering University of Connecticut WTS-ITE Mini Series 2013 Introduction 2 An incident involving a vehicle carrying hazardous materials (Hazmat) cargo can produce undesirable short and long term consequences to human health and the environment, including severe illness, death, irreversible pollution, and in the worst case may require evacuation. 1 Hazmat Risk Health Safety Property (1PHMSA 2008) Hazmat Incident 3 Hazmat incident is a ‘Low Probability High Consequence’ event East Lyme, CT Plainfield, CT Hazmat Incident Maps http://hazmat.globalincidentmap.com/map.php Hazmat Shipment 4 1,400,000 1,200,000 1,202,825 Tons (thousands) 1,159,514 1,000,000 800,000 661,390 600,000 628,905 400,000 200,000 109,369 129,743 228,197 149,794 0 TRUCK RAIL WATER Mode PIPELINE 2002 2007 Objectives 5 1. To formulate an improved measure of link risk 2. To Formulate and solve a hazardous materials flow model in robust and stochastic framework 3. To obtain a prohibition strategy support system by Network Vulnerability Analysis Risk Assessment 6 = Risk on link (i,j) = Accident / Release Probability Traditional Risk measure: = Consequence / Population Risk Assessment Approach Identification of an appropriate spatial threshold for the risk associated with a hazmat release Accommodating spatial variability in risk measurement Selecting appropriate measure of risk Spatial Threshold of Risk 7 TABLE Impact Area by Hazmat Class2 Census blocks Explosives Flammable Gas Poison Gas Impact Area (mile) 1.0 0.5 5.0 Farmable/Combustible Liquid 0.5 Hazmat Class Impact area i Link FIGURE Circular impact area of a vehicle and the resulting fixed bandwidth impact area around a link. 1 =0.5 mile to 5 miles Flammable Solid; Spontaneously Combustible; Dangerous when wet Oxidizer/Organic Peroxide Poisonous, not gas Corrosive Material 0.5 0.5 5.0 0.5 (1Batta and Chiu 1988) (2US DOT 1996) Spatial Variability of Risk 8 % Risk Exposure Decay Functions 100 90 80 70 60 50 40 30 20 10 0 Where = distance of block centroid b to link = selected impact area (buffer) size 0 0.1 No decay 0.2 0.3 0.4 0.5 0.6 Distance Linear Exp (dis) Circular 0.7 Risk Measure 9 Link Risk : Where, = release accident rate on the link = travel time on the link (min) = length of each link (mile) = census blocks inside the impact area = decay value of each block, b = population in block, Census blocks Impact area Link i Application of the Risk Measure 10 Risk assessment for hazardous materials transportation routes Current Route Proposed Route Bi-Objective Hazmat Flow Model 11 Data Travel time, Decision Variable Hazmat flow on arc Bi-Objective Model and Risk, (or ) for each O-D pair: P1 Regulator P2 Carrier s.t. Preliminary Research: Static Bi-Objective Routing Problem 12 O,D: 2,18 8 3 4 6 7 35 11 9 13 23 10 31 9 25 33 12 36 15 5 26 32 34 40 6 12 16 21 48 10 29 51 49 30 14 42 71 44 72 23 13 74 39 24 46 67 69 65 68 75 21 58 61 63 62 14 12 10 A1 A2 8 18 54 B2 10 B3 B4 6 600 B5 200 300 400 500 Shortest Path Cost (min) O,D: 3,18 16 56 60 16 14 12 C1 10 C2 C3 C4 D1 14 12 10 8 D2 D3 D4 C5 6 600 O,D: 3,22 20 FIGURE Sioux-Falls Network. 12 8 200 300 400 500 Shortest Path Cost (min) Destination 8 64 14 A3 6 18 52 Destination 59 7 50 19 45 22 66 55 57 15 70 73 76 16 20 17 28 43 41 38 17 22 47 53 37 19 8 24 27 11 14 Maximum Link Risk Origin 4 B1 16 Maximum Link Risk Origin 1 5 2 16 Maximum Link Risk 2 Maximum Link Risk 3 1 O,D: 2,22 200 300 400 500 Shortest Path Cost (min) 600 D5 D6 6 200 300 400 500 Shortest Path Cost (min) 600 FIGURE Pareto-Efficient Routes. Ongoing Reseach: Stochastic, Time-Varying Bi-Objective Hazmat Flow Problem 13 1Motivation : Multi-criteria: multiple stakeholders Hazmat Transportation Time Varying: network attributes Uncertainty: network attributes are unknown (1Chang, Nozick, and Turnquist 2005) Thanks ! 14 Question? [email protected] Reference 15 Batta, Rajan, and Samuel S Chiu. 1988. Optimal obnoxious paths on a network: transportation of hazardous materials. Operations Research. INFORMS. Boyles, Stephen D, and S Travis Waller. 2010. A mean-variance model for the minimum cost flow problem with stochastic arc costs. Networks. Wiley Online Library. Carotenuto, Pasquale, Stefano Giordani, and Salvatore Ricciardelli. 2007. Finding minimum and equitable risk routes for hazmat shipments. Computers \& Operations Research. Elsevier. Chang, Tsung-Sheng, Linda K Nozick, and Mark A Turnquist. 2005. Multiobjective path finding in stochastic dynamic networks, with application to routing hazardous materials shipments. Transportation Science. INFORMS. Mavrotas, George. 2009. Effective implementation of the< i> $\varepsilon$</i>-constraint method in Multi-Objective Mathematical Programming problems. Applied Mathematics and Computation. Elsevier. Miller-Hooks, Elise D, and Hani S Mahmassani. 2000. Least expected time paths in stochastic, time-varying transportation networks. Transportation Science. INFORMS. Miller-Hooks, Elise, and Hani S Mahmassani. 1998. Optimal routing of hazardous materials in stochastic, time-varying transportation networks. Transportation Research Record: Journal of the Transportation Research Board. Trans Res Board. Rahman, Ashrafur, Nicholas E Lownes, John N Ivan, Lance Fiondella, Sanguthevar Rajasekaran, and Reda Ammar. 2012. A game theory approach to identify alternative regulatory frameworks for hazardous materials routing. In Homeland Security (HST), 2012 IEEE Conference on Technologies for, 489–494. Sharma, Sushant, Satish V Ukkusuri, and Tom V Mathew. 2009. Pareto optimal multiobjective optimization for robust transportation network design problem. Transportation Research Record: Journal of the Transportation Research Board. Trans Res Board. US Departement of Transportatoin,. 1996. “Highway Routing of Hazardous Materials Guidelines for Aplying Criteria, Publication No. FHWA-HI-97-003.”
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