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A perturbation-based approach for continuous network design problem with emissions
1. | Institute of Operations Research and Control Theory, School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China, China, China |
2. | Institute of Operations Research and Control Theory, School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China |
References:
[1] |
S. P. Anusha, Study of Influence of Lane Restrictions on Vehicular Emissions under the Heterogeneous Traffic Flow, MS thesis, Department of Civil Engineering, Indian Institute of Technology, Madras, 2007. |
[2] |
C. M. Benedek and L. R. Rillet, Equitable traffic assignment with environmental cost functions, Journal Transportation Engineering, 124 (1998), 16-24. |
[3] |
E. Deakin, Sustainable develoment and sustaionable transportation: Strategies for economic prosperity environmental quality and equity, Technical Report, Institute of Urban and Region Development, University of California, Berkely, 2001. |
[4] |
F. Facchinei, H. Jiang and L. Qi, A smoothing method for mathematical programs with equilibrium constraints, Mathematical Programming, 85 (1999), 107-134.
doi: 10.1007/s101070050048. |
[5] |
M. Fukushima and J. S. Pang, Convergence of a Smoothing Continuation Method for Mathematical Problems with Complementarity Constraints, Ill-posed Variational Problems and Regularization Techniques, Lecture Notes in Economics and Mathematical Systems (eds. M. Théra and R. Tichatschke), 477, Springer-Verlag,
doi: 10.1007/978-3-642-45780-7. |
[6] |
C. M. Jeon and A. Amekudzi, Addressing sustainability in transportation systems, (French) [Definitions, Indicators and Metrics], Journal of Infrastucture Systems, 11 (2005), 31-50. Berlin/Heidelberg, 1999. |
[7] |
G. H. Lin and M. Fukushima, A modified relaxation scheme for mathematical programs with complementarity constraints, Annals of Operations Research, 133 (2005), 63-84.
doi: 10.1007/s10479-004-5024-z. |
[8] |
Z. Q. Luo, J. S. Pang and D. Ralph, Mathematical Programs with Equilibrium Constraints, Cambridge University Press, 1996.
doi: 10.1017/CBO9780511983658. |
[9] |
T. V. Mathew and S. Sharma, Capacity expansion problem for large urban transportation networks, Journal of Transportation Engineering, 135 (2009), 406-4015. |
[10] |
A. Nagurney, Sustainable Transportation Networks, Edward Elgar, Cheltenham, Glos,2000b. |
[11] |
A. Nagurney, Congested urban transportation networks and emission paradoxes, Transportation Research Part D, 5 (2000a), 145-151. |
[12] |
A. Nagurney, Q. Qiang and L. S. Nagurney, Environmental impact assessment of transportation networks with degradable links in an era of climate change, International Journal of Sustainable Transportation, 1 (2007), 29-51. |
[13] |
A. Nagurney, Z. Liu and T. Woolley, Sustainable supply chain and transportation networks, International Journal of Transportation, 4 (2010), 154-171. |
[14] |
A. Nagurney, Z. Liu and T. Woolley, Sustainable supply chain and transportation networks, International Journal of Transportation, 4 (2010), 154-171. |
[15] |
M. Patriksson, The traffic assignment problem: Models and Methods, VSP, Utrecht, The Netherlands, 1994. |
[16] |
R. T. Rockafellar and R. J. B. Wets, Variational Analysis, Springer-Verlag, New York, 1998.
doi: 10.1007/978-3-642-02431-3. |
[17] |
S. Sharma and T. V. Mathew, Transportation network design considering emissions as bi-level optimization problem, in TBR 86th Annual Meeting Compendium of the Paper CD-ROM, Transportation Research Board, Washington, DC, 2007. |
[18] |
S. Sharma and S. Mishra, Optimal emission pricing models for containing carbon footprints due to vehicular pollution in a city network, Proceedings of Transportation Research Board 90th Annual Meeting, 2011. |
[19] |
S. Sharma, Transportation Network Design Considering Environmental Parameters and Demand Uncertainity, PhD thesis, Indian Institute of Technology, Bombay, India, 2009. |
[20] |
Y. Sheffi, Urban Transportation Networks, First edition, Mathematical Models [Equilibrium Analysis with Mathematical programming Methods], 416, Prentice-Hall, Englewood Cliffs, 1985. |
[21] |
S. Sugawara and D.A. Niemeier, How much can vehicle emissions be reduced?, (French) [exploratory analysis of an upper boundary using an emissions optimized trip assignment], Transportation Research Record, 1815 (2003), 29-37. |
[22] |
S. Scholtes, Convergence properties of a regularization scheme for mathematical programs with complementarity constraints, SIAM J. Optim, 11 (2001), 918-936.
doi: 10.1137/S1052623499361233. |
[23] |
J. Y. Teng and G. H. Tzeng, A multiobjective programming approach for selecting non-independent transportation investment alternatives, Transportation Research Part B, 30 (1996), 291-307. |
[24] |
M. M. Venigalla, A. Chatterjee and M. S. Bronzini, A specialized equilibrium assignment algorithm for air quality modeling, Transportation Research Part D, 4 (1999), 29-44. |
[25] |
Y. Yin and S. Lawphongpanich, Internalizing emission externality on road networks, Transportation Research Part D, 11 (2006), 292-301. |
[26] |
Y. Yin and H. Lu, Traffic equilibrium problems with environmental concerns, Journal of Eastern Asia Society for Transportation Study, 3 (1999), 195-206. |
show all references
References:
[1] |
S. P. Anusha, Study of Influence of Lane Restrictions on Vehicular Emissions under the Heterogeneous Traffic Flow, MS thesis, Department of Civil Engineering, Indian Institute of Technology, Madras, 2007. |
[2] |
C. M. Benedek and L. R. Rillet, Equitable traffic assignment with environmental cost functions, Journal Transportation Engineering, 124 (1998), 16-24. |
[3] |
E. Deakin, Sustainable develoment and sustaionable transportation: Strategies for economic prosperity environmental quality and equity, Technical Report, Institute of Urban and Region Development, University of California, Berkely, 2001. |
[4] |
F. Facchinei, H. Jiang and L. Qi, A smoothing method for mathematical programs with equilibrium constraints, Mathematical Programming, 85 (1999), 107-134.
doi: 10.1007/s101070050048. |
[5] |
M. Fukushima and J. S. Pang, Convergence of a Smoothing Continuation Method for Mathematical Problems with Complementarity Constraints, Ill-posed Variational Problems and Regularization Techniques, Lecture Notes in Economics and Mathematical Systems (eds. M. Théra and R. Tichatschke), 477, Springer-Verlag,
doi: 10.1007/978-3-642-45780-7. |
[6] |
C. M. Jeon and A. Amekudzi, Addressing sustainability in transportation systems, (French) [Definitions, Indicators and Metrics], Journal of Infrastucture Systems, 11 (2005), 31-50. Berlin/Heidelberg, 1999. |
[7] |
G. H. Lin and M. Fukushima, A modified relaxation scheme for mathematical programs with complementarity constraints, Annals of Operations Research, 133 (2005), 63-84.
doi: 10.1007/s10479-004-5024-z. |
[8] |
Z. Q. Luo, J. S. Pang and D. Ralph, Mathematical Programs with Equilibrium Constraints, Cambridge University Press, 1996.
doi: 10.1017/CBO9780511983658. |
[9] |
T. V. Mathew and S. Sharma, Capacity expansion problem for large urban transportation networks, Journal of Transportation Engineering, 135 (2009), 406-4015. |
[10] |
A. Nagurney, Sustainable Transportation Networks, Edward Elgar, Cheltenham, Glos,2000b. |
[11] |
A. Nagurney, Congested urban transportation networks and emission paradoxes, Transportation Research Part D, 5 (2000a), 145-151. |
[12] |
A. Nagurney, Q. Qiang and L. S. Nagurney, Environmental impact assessment of transportation networks with degradable links in an era of climate change, International Journal of Sustainable Transportation, 1 (2007), 29-51. |
[13] |
A. Nagurney, Z. Liu and T. Woolley, Sustainable supply chain and transportation networks, International Journal of Transportation, 4 (2010), 154-171. |
[14] |
A. Nagurney, Z. Liu and T. Woolley, Sustainable supply chain and transportation networks, International Journal of Transportation, 4 (2010), 154-171. |
[15] |
M. Patriksson, The traffic assignment problem: Models and Methods, VSP, Utrecht, The Netherlands, 1994. |
[16] |
R. T. Rockafellar and R. J. B. Wets, Variational Analysis, Springer-Verlag, New York, 1998.
doi: 10.1007/978-3-642-02431-3. |
[17] |
S. Sharma and T. V. Mathew, Transportation network design considering emissions as bi-level optimization problem, in TBR 86th Annual Meeting Compendium of the Paper CD-ROM, Transportation Research Board, Washington, DC, 2007. |
[18] |
S. Sharma and S. Mishra, Optimal emission pricing models for containing carbon footprints due to vehicular pollution in a city network, Proceedings of Transportation Research Board 90th Annual Meeting, 2011. |
[19] |
S. Sharma, Transportation Network Design Considering Environmental Parameters and Demand Uncertainity, PhD thesis, Indian Institute of Technology, Bombay, India, 2009. |
[20] |
Y. Sheffi, Urban Transportation Networks, First edition, Mathematical Models [Equilibrium Analysis with Mathematical programming Methods], 416, Prentice-Hall, Englewood Cliffs, 1985. |
[21] |
S. Sugawara and D.A. Niemeier, How much can vehicle emissions be reduced?, (French) [exploratory analysis of an upper boundary using an emissions optimized trip assignment], Transportation Research Record, 1815 (2003), 29-37. |
[22] |
S. Scholtes, Convergence properties of a regularization scheme for mathematical programs with complementarity constraints, SIAM J. Optim, 11 (2001), 918-936.
doi: 10.1137/S1052623499361233. |
[23] |
J. Y. Teng and G. H. Tzeng, A multiobjective programming approach for selecting non-independent transportation investment alternatives, Transportation Research Part B, 30 (1996), 291-307. |
[24] |
M. M. Venigalla, A. Chatterjee and M. S. Bronzini, A specialized equilibrium assignment algorithm for air quality modeling, Transportation Research Part D, 4 (1999), 29-44. |
[25] |
Y. Yin and S. Lawphongpanich, Internalizing emission externality on road networks, Transportation Research Part D, 11 (2006), 292-301. |
[26] |
Y. Yin and H. Lu, Traffic equilibrium problems with environmental concerns, Journal of Eastern Asia Society for Transportation Study, 3 (1999), 195-206. |
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