A multi-class mean-excess traffic equilibrium model with elastic demand

Journal of Advanced Transportation

Volumn 48, Issue 3, 2014, Pages 203-222

  Xu, Xiangdong ^a,b   Chen, Anthony ^b   Zhou, Zhong ^c   Cheng, Lin ^a  

^a SOUTHEAST UNIVERSITY   (China)

^b Utah State University   (United States)

^c Citilabs   (United States)

Author keywords

elastic demand; mean excess travel time; multiple user classes; travel time budget; uncertainty; user equilibrium

Indexed keywords

ALGORITHMS; ELASTICITY; MOTOR TRANSPORTATION; RISK ANALYSIS; TRAVEL TIME; VARIATIONAL TECHNIQUES;

ELASTIC DEMAND; MULTIPLE USER CLASS; TRAVEL TIME BUDGETS; UNCERTAINTY; USER EQUILIBRIUM;

TRAFFIC CONTROL;

EID: 84898547346     PISSN: 01976729     EISSN: 20423195     Source Type: Journal    
DOI: 10.1002/atr.205     Document Type: Article

References (28)

1. van Lint JWC, van Zuylen HJ, Tu H,. Travel time unreliability on freeways: why measures based on variance tell only half the story. Transportation Research Part A 2008; 42 (1): 258-277. (Pubitemid 350154466)
2. Asensio J, Matas A,. Commuters' valuation of travel time variability. Transportation Research Part E 2008; 44 (6): 1074-1085.
3. Liu H, Recker W, Chen A,. Uncovering the contribution of travel time reliability to dynamic route choice using real-time loop data. Transportation Research Part A 2004; 38 (6): 435-453. (Pubitemid 38791078)
4. Bell MGH, Cassir C,. Risk-averse user equilibrium traffic assignment: an application of game theory. Transportation Research Part B 2002; 36 (8): 671-681. (Pubitemid 34724889)
5. Mirchandani P, Soroush H,. Generalized traffic equilibrium with probabilistic travel times and perceptions. Transportation Science 1987; 21: 133-152.
6. Zhang C, Chen X, Sumalee A,. Robust Wardrop's user equilibrium assignment under stochastic demand and supply: expected residual minimization approach. Transportation Research Part B 2011; 45 (3): 534-552.
7. Xu H, Lou Y, Yin Y, Zhou J,. A prospect-based user equilibrium model with endogenous reference points and its application in congestion pricing. Transportation Research Part B 2011; 45 (2): 311-328.
8. Lo HK, Luo XW, Siu BWY,. Degradable transport network: travel time budget of travelers with heterogeneous risk aversion. Transportation Research Part B 2006; 40 (9): 792-806. (Pubitemid 43871925)
9. Shao H, Lam WHK, Meng Q, Tam ML,. Demand-driven traffic assignment problem based on travel time reliability. Transportation Research Record 2006a; 1985: 220-230. (Pubitemid 46479425)
10. Shao H, Lam WHK, Tam ML,. A reliability-based stochastic traffic assignment model for network with multiple user classes under uncertainty in demand. Networks and Spatial Economics 2006b; 6 (3-4): 173-204. (Pubitemid 44314616)
11. Sumalee A, Uchida K, Lam WHK,. Stochastic multi-modal transport network under demand uncertainties and adverse weather condition. Transportation Research Part C 2011; 19: 338-350.
12. Szeto WY, Solayappan M, Jiang Y,. Reliability-based transit assignment for congested stochastic transit networks. Computer-Aided Civil and Infrastructure Engineering 2011b; 26 (4): 311-326.
13. Zhang Y, Lam WHK, Sumalee A, Lo HK, Tong CO,. The multi-class schedule-based transit assignment model under network uncertainties. Public Transport 2010; 2 (1-2): 69-86.
14. Szeto WY, Jiang Y, Sumalee A,. A cell-based model for multi-class doubly stochastic dynamic traffic assignment. Computer-Aided Civil and Infrastructure Engineering 2011a; 26 (8): 595-611.
15. Watling D,. User equilibrium traffic network assignment with stochastic travel times and late arrival penalty. European Journal of Operational Research 2006; 175 (3): 1539-1556. (Pubitemid 44436740)
16. Chen A, Zhou Z,. The α-reliable mean-excess traffic equilibrium model with stochastic travel times. Transportation Research Part B 2010; 44 (4): 493-513.
17. Zhou Z, Chen A,. Comparative analysis of three user equilibrium models under stochastic demand. Journal of Advanced Transportation 2008; 42 (3): 239-263.
18. Han DR,. A modified alternating direction method for variational inequality problems. Applied Mathematics and Optimization 2002; 45 (1): 63-74.
19. Leblanc LJ,. Mathematical programming algorithms for large-scale network equilibrium and network design problems. PhD Thesis, Northwestern University, 1973.
20. Bekhor S, Toledo T, Prashker JN,. Effects of choice set size and route choice models on path-based traffic assignment. Transportmetrica 2008; 4 (2): 117-133.
21. Chen BY, Lam WHK, Sumalee A, Shao H,. An efficient solution algorithm for solving multi-class reliability-based traffic assignment problem. Mathematical and Computer Modelling 2011a; 54 (5-6): 1428-1439.
22. Facchinei F, Pang JS,. Finite-Dimensional Variational Inequalities and Complementarity Problems. Springer: New York, 2003.
23. Gass SI,. Linear Programming: Methods and Applications. McGraw-Hill: New York, 1985.
24. Siu BWY, Lo HK,. Doubly uncertain transport network: degradable link capacity and perception variations in traffic conditions. Transportation Research Record 2006; 1964: 56-69.
25. Lam WHK, Shao H, Sumalee A,. Modeling impacts of adverse weather conditions on a road network with uncertainties in demand and supply. Transportation Research Part B 2008; 42 (10): 890-910.
26. Shao H, Lam WHK, Tam ML, Yuan XM,. Modeling rain effects on risk-taking behaviors of multi-user classes in road network with uncertainty. Journal of Advanced Transportation 2008; 42 (3): 265-290.
27. Siu BWY, Lo HK,. Doubly uncertain transportation network: degradable capacity and stochastic demand. European Journal of Operational Research 2008; 191 (1): 166-181.
28. Chen A, Zhou Z, Lam WHK,. Modeling stochastic perception error in the mean-excess traffic equilibrium model with stochastic travel times. Transportation Research Part B 2011b; 45 (10): 1619-1640.