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Eco-system optimal time-dependent flow assignment in a congested network

Author

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  • Lu, Chung-Cheng
  • Liu, Jiangtao
  • Qu, Yunchao
  • Peeta, Srinivas
  • Rouphail, Nagui M.
  • Zhou, Xuesong

Abstract

This research addresses the eco-system optimal dynamic traffic assignment (ESODTA) problem which aims to find system optimal eco-routing or green routing flows that minimize total vehicular emission in a congested network. We propose a generic agent-based ESODTA model and a simplified queueing model (SQM) that is able to clearly distinguish vehicles’ speed in free-flow and congested conditions for multi-scale emission analysis, and facilitates analyzing the relationship between link emission and delay. Based on the SQM, an expanded space-time network is constructed to formulate the ESODTA with constant bottleneck discharge capacities. The resulting integer linear model of the ESODTA is solved by a Lagrangian relaxation-based algorithm. For the simulation-based ESODTA, we present the column-generation-based heuristic, which requires link and path marginal emissions in the embedded time-dependent least-cost path algorithm and the gradient-projection-based descent direction method. We derive a formula of marginal emission which encompasses the marginal travel time as a special case, and develop an algorithm for evaluating path marginal emissions in a congested network. Numerical experiments are conducted to demonstrate that the proposed algorithm is able to effectively obtain coordinated route flows that minimize the system-wide vehicular emission for large-scale networks.

Suggested Citation

  • Lu, Chung-Cheng & Liu, Jiangtao & Qu, Yunchao & Peeta, Srinivas & Rouphail, Nagui M. & Zhou, Xuesong, 2016. "Eco-system optimal time-dependent flow assignment in a congested network," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 217-239.
    • Handle: RePEc:eee:transb:v:94:y:2016:i:c:p:217-239
    DOI: 10.1016/j.trb.2016.09.015
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    as
    1. Malachy Carey, 1987. "Optimal Time-Varying Flows on Congested Networks," Operations Research, INFORMS, vol. 35(1), pages 58-69, February.
    2. Carey, Malachy & Subrahmanian, Eswaran, 2000. "An approach to modelling time-varying flows on congested networks," Transportation Research Part B: Methodological, Elsevier, vol. 34(3), pages 157-183, April.
    3. Athanasios K. Ziliaskopoulos, 2000. "A Linear Programming Model for the Single Destination System Optimum Dynamic Traffic Assignment Problem," Transportation Science, INFORMS, vol. 34(1), pages 37-49, February.
    4. Paul I. Richards, 1956. "Shock Waves on the Highway," Operations Research, INFORMS, vol. 4(1), pages 42-51, February.
    5. Daganzo, Carlos F., 2006. "In traffic flow, cellular automata = kinematic waves," Transportation Research Part B: Methodological, Elsevier, vol. 40(5), pages 396-403, June.
    6. Peeta, Srinivas & Zhou, Chao, 2006. "Stochastic quasi-gradient algorithm for the off-line stochastic dynamic traffic assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 40(3), pages 179-206, March.
    7. Gaker, David & Zheng, Yanding & Walker, Joan, 2010. "Experimental Economics in Transportation: A Focus on Social Influences and the Provision of Information," University of California Transportation Center, Working Papers qt7vg9m3r1, University of California Transportation Center.
    8. Shen, Wei & Zhang, H. Michael, 2009. "On the Morning Commute Problem in a Corridor Network with Multiple Bottlenecks: Its System-optimal Traffic Flow Patterns and the Realizing Tolling Scheme," Institute of Transportation Studies, Working Paper Series qt9bs815sq, Institute of Transportation Studies, UC Davis.
    9. Doan, Kien & Ukkusuri, Satish V., 2012. "On the holding-back problem in the cell transmission based dynamic traffic assignment models," Transportation Research Part B: Methodological, Elsevier, vol. 46(9), pages 1218-1238.
    10. Newell, G. F., 1993. "A simplified theory of kinematic waves in highway traffic, part II: Queueing at freeway bottlenecks," Transportation Research Part B: Methodological, Elsevier, vol. 27(4), pages 289-303, August.
    11. Daganzo, Carlos F., 1995. "The cell transmission model, part II: Network traffic," Transportation Research Part B: Methodological, Elsevier, vol. 29(2), pages 79-93, April.
    12. W. Y. Szeto & Xiaoqing Jaber & S. C. Wong, 2012. "Road Network Equilibrium Approaches to Environmental Sustainability," Transport Reviews, Taylor & Francis Journals, vol. 32(4), pages 491-518, April.
    13. Yin, Jiateng & Tang, Tao & Yang, Lixing & Gao, Ziyou & Ran, Bin, 2016. "Energy-efficient metro train rescheduling with uncertain time-variant passenger demands: An approximate dynamic programming approach," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 178-210.
    14. Lu, Chung-Cheng & Mahmassani, Hani S. & Zhou, Xuesong, 2009. "Equivalent gap function-based reformulation and solution algorithm for the dynamic user equilibrium problem," Transportation Research Part B: Methodological, Elsevier, vol. 43(3), pages 345-364, March.
    15. Newell, G. F., 1993. "A simplified theory of kinematic waves in highway traffic, part I: General theory," Transportation Research Part B: Methodological, Elsevier, vol. 27(4), pages 281-287, August.
    16. Li, Pengfei & Mirchandani, Pitu & Zhou, Xuesong, 2015. "Solving simultaneous route guidance and traffic signal optimization problem using space-phase-time hypernetwork," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 103-130.
    17. Garcia, Alfredo & Reaume, Daniel & Smith, Robert L., 2000. "Fictitious play for finding system optimal routings in dynamic traffic networks," Transportation Research Part B: Methodological, Elsevier, vol. 34(2), pages 147-156, February.
    18. Lafortune, Stéphane & Sengupta, Raja & Kaufman, David E. & Smith, Robert L., 1993. "Dynamic system-optimal traffic assignment using a state space model," Transportation Research Part B: Methodological, Elsevier, vol. 27(6), pages 451-472, December.
    19. Byung-Wook Wie & Roger L. Tobin & Terry L. Friesz, 1994. "The Augmented Lagrangian Method for Solving Dynamic Network Traffic Assignment Models in Discrete Time," Transportation Science, INFORMS, vol. 28(3), pages 204-220, August.
    20. Carey, Malachy & Watling, David, 2012. "Dynamic traffic assignment approximating the kinematic wave model: System optimum, marginal costs, externalities and tolls," Transportation Research Part B: Methodological, Elsevier, vol. 46(5), pages 634-648.
    21. Terry L. Friesz & Javier Luque & Roger L. Tobin & Byung-Wook Wie, 1989. "Dynamic Network Traffic Assignment Considered as a Continuous Time Optimal Control Problem," Operations Research, INFORMS, vol. 37(6), pages 893-901, December.
    22. Carey, Malachy, 1992. "Nonconvexity of the dynamic traffic assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 26(2), pages 127-133, April.
    23. MERCHANT, Deepak K. & NEMHAUSER, George L., 1978. "A model and an algorithm for the dynamic traffic assignment problems," LIDAM Reprints CORE 346, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    24. Leclercq, Ludovic, 2007. "Hybrid approaches to the solutions of the "Lighthill-Whitham-Richards" model," Transportation Research Part B: Methodological, Elsevier, vol. 41(7), pages 701-709, August.
    25. Hong Zheng & Yi-Chang Chiu, 2011. "A Network Flow Algorithm for the Cell-Based Single-Destination System Optimal Dynamic Traffic Assignment Problem," Transportation Science, INFORMS, vol. 45(1), pages 121-137, February.
    26. Yang, Lixing & Zhang, Yan & Li, Shukai & Gao, Yuan, 2016. "A two-stage stochastic optimization model for the transfer activity choice in metro networks," Transportation Research Part B: Methodological, Elsevier, vol. 83(C), pages 271-297.
    27. Newell, G. F., 1993. "A simplified theory of kinematic waves in highway traffic, part III: Multi-destination flows," Transportation Research Part B: Methodological, Elsevier, vol. 27(4), pages 305-313, August.
    28. Thomas L. Magnanti & Georgia Perakis, 1997. "Averaging Schemes for Variational Inequalities and Systems of Equations," Mathematics of Operations Research, INFORMS, vol. 22(3), pages 568-587, August.
    29. Muñoz, Juan Carlos & Laval, Jorge A., 2006. "System optimum dynamic traffic assignment graphical solution method for a congested freeway and one destination," Transportation Research Part B: Methodological, Elsevier, vol. 40(1), pages 1-15, January.
    30. Ghali, M. O. & Smith, M. J., 1995. "A model for the dynamic system optimum traffic assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 29(3), pages 155-170, June.
    31. Shen, Wei & Zhang, H.M., 2009. "On the morning commute problem in a corridor network with multiple bottlenecks: Its system-optimal traffic flow patterns and the realizing tolling scheme," Transportation Research Part B: Methodological, Elsevier, vol. 43(3), pages 267-284, March.
    32. Ma, Rui & Ban, Xuegang (Jeff) & Pang, Jong-Shi, 2014. "Continuous-time dynamic system optimum for single-destination traffic networks with queue spillbacks," Transportation Research Part B: Methodological, Elsevier, vol. 68(C), pages 98-122.
    33. Tong, Lu & Zhou, Xuesong & Miller, Harvey J., 2015. "Transportation network design for maximizing space–time accessibility," Transportation Research Part B: Methodological, Elsevier, vol. 81(P2), pages 555-576.
    34. Newell, G. F., 2002. "A simplified car-following theory: a lower order model," Transportation Research Part B: Methodological, Elsevier, vol. 36(3), pages 195-205, March.
    35. Deepak K. Merchant & George L. Nemhauser, 1978. "A Model and an Algorithm for the Dynamic Traffic Assignment Problems," Transportation Science, INFORMS, vol. 12(3), pages 183-199, August.
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