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A bi-objective user equilibrium model of travel time reliability in a road network
Institution:1. School of Civil Engineering & Institute for Transport Studies, University of Leeds, Woodhouse Lane, Leeds LS2 9JT, United Kingdom;2. Department of Management Science, Lancaster University, Bailrigg, Lancaster LA1 4YX, United Kingdom;3. Department of Engineering Science, The University of Auckland, Private Bag 92019, Auckland 1142, New Zealand;4. Department of Civil and Environmental Engineering, Utah State University, Logan, UT 84322-4110, USA;1. School of Environmental Design, Kanazawa University, Japan;2. Institute for Transport Studies, University of Leeds, United Kingdom;1. Network Modeling Center, The University of Texas at Austin, 1616 Guadalupe St., Suite 4.202, Austin, TX 78701, United States;2. Department of Civil, Architectural, and Environmental Engineering, The University of Texas at Austin, Ernest Cockrell, Jr. Hall (ECJ) 6.204, 301 E. Dean Keeton St., Stop C1761, Austin, TX 78712, United States;1. School of Civil Engineering & Institute for Transport Studies, University of Leeds, Woodhouse Lane, Leeds LS2 9JT, United Kingdom;2. Department of Management Science, Lancaster University, Bailrigg, Lancaster LA1 4YX, United Kingdom;3. School of Population Health, The University of Auckland, Private Bag 92019, Auckland 1142, New Zealand;4. Department of Engineering Science, The University of Auckland, Private Bag 92019, Auckland 1142, New Zealand;1. School of Traffic and Transportation Engineering, Central South University, Changsha, Hunan 410075, China;2. School of Computer Science and Engineering, University of New South Wales, Sydney, NSW 2052, Australia;3. Research Centre for Integrated Transport Innovation, School of Civil and Environmental Engineering, University of New South Wales, Sydney, NSW 2052, Australia;4. Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China;1. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, China;2. Department of Civil, Architectural and Environmental Engineering, University of Texas at Austin, United States;3. Department of Business and Economics, Pennsylvania State University—Hazleton, United States;1. School of Management, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan, PR China;2. Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, PR China;3. College of Computer Science, Inner Mongolia University, Hohhot 010021, PR China
Abstract:Travel time, travel time reliability and monetary cost have been empirically identified as the most important criteria influencing route choice behaviour. We concentrate on travel time and travel time reliability and review two prominent user equilibrium models incorporating these two factors. We discuss some shortcomings of these models and propose alternative bi-objective user equilibrium models that overcome the shortcomings. Finally, based on the observation that both models use standard deviation of travel time within their measure of travel time reliability, we propose a general travel time reliability bi-objective user equilibrium model. We prove that this model encompasses those discussed previously and hence forms a general framework for the study of reliability related user equilibrium. We demonstrate and validate our concepts on a small three-link example.
Keywords:Route choice  User equilibrium  Travel time reliability  Bi-objective user equilibrium  Late arrival penalty  Travel time budget
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