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A perturbationbased 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), 1624. 
[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), 107134. doi: 10.1007/s101070050048. 
[5] 
M. Fukushima and J. S. Pang, Convergence of a Smoothing Continuation Method for Mathematical Problems with Complementarity Constraints, Illposed Variational Problems and Regularization Techniques,, \emph{Lecture Notes in Economics and Mathematical Systems} (eds. M. Théra and R. Tichatschke), (). doi: 10.1007/9783642457807. 
[6] 
C. M. Jeon and A. Amekudzi, Addressing sustainability in transportation systems, (French) [Definitions, Indicators and Metrics], Journal of Infrastucture Systems, 11 (2005), 3150. 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), 6384. doi: 10.1007/s104790045024z. 
[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), 4064015. 
[10] 
A. Nagurney, Sustainable Transportation Networks,, Edward Elgar, (). 
[11] 
A. Nagurney, Congested urban transportation networks and emission paradoxes,, \emph{Transportation Research Part D}, 5 (): 145. 
[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), 2951. 
[13] 
A. Nagurney, Z. Liu and T. Woolley, Sustainable supply chain and transportation networks, International Journal of Transportation, 4 (2010), 154171. 
[14] 
A. Nagurney, Z. Liu and T. Woolley, Sustainable supply chain and transportation networks, International Journal of Transportation, 4 (2010), 154171. 
[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, SpringerVerlag, New York, 1998. doi: 10.1007/9783642024313. 
[17] 
S. Sharma and T. V. Mathew, Transportation network design considering emissions as bilevel optimization problem, in TBR 86th Annual Meeting Compendium of the Paper CDROM, 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, PrenticeHall, 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), 2937. 
[22] 
S. Scholtes, Convergence properties of a regularization scheme for mathematical programs with complementarity constraints, SIAM J. Optim, 11 (2001), 918936. doi: 10.1137/S1052623499361233. 
[23] 
J. Y. Teng and G. H. Tzeng, A multiobjective programming approach for selecting nonindependent transportation investment alternatives, Transportation Research Part B, 30 (1996), 291307. 
[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), 2944. 
[25] 
Y. Yin and S. Lawphongpanich, Internalizing emission externality on road networks, Transportation Research Part D, 11 (2006), 292301. 
[26] 
Y. Yin and H. Lu, Traffic equilibrium problems with environmental concerns, Journal of Eastern Asia Society for Transportation Study, 3 (1999), 195206. 
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), 1624. 
[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), 107134. doi: 10.1007/s101070050048. 
[5] 
M. Fukushima and J. S. Pang, Convergence of a Smoothing Continuation Method for Mathematical Problems with Complementarity Constraints, Illposed Variational Problems and Regularization Techniques,, \emph{Lecture Notes in Economics and Mathematical Systems} (eds. M. Théra and R. Tichatschke), (). doi: 10.1007/9783642457807. 
[6] 
C. M. Jeon and A. Amekudzi, Addressing sustainability in transportation systems, (French) [Definitions, Indicators and Metrics], Journal of Infrastucture Systems, 11 (2005), 3150. 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), 6384. doi: 10.1007/s104790045024z. 
[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), 4064015. 
[10] 
A. Nagurney, Sustainable Transportation Networks,, Edward Elgar, (). 
[11] 
A. Nagurney, Congested urban transportation networks and emission paradoxes,, \emph{Transportation Research Part D}, 5 (): 145. 
[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), 2951. 
[13] 
A. Nagurney, Z. Liu and T. Woolley, Sustainable supply chain and transportation networks, International Journal of Transportation, 4 (2010), 154171. 
[14] 
A. Nagurney, Z. Liu and T. Woolley, Sustainable supply chain and transportation networks, International Journal of Transportation, 4 (2010), 154171. 
[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, SpringerVerlag, New York, 1998. doi: 10.1007/9783642024313. 
[17] 
S. Sharma and T. V. Mathew, Transportation network design considering emissions as bilevel optimization problem, in TBR 86th Annual Meeting Compendium of the Paper CDROM, 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, PrenticeHall, 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), 2937. 
[22] 
S. Scholtes, Convergence properties of a regularization scheme for mathematical programs with complementarity constraints, SIAM J. Optim, 11 (2001), 918936. doi: 10.1137/S1052623499361233. 
[23] 
J. Y. Teng and G. H. Tzeng, A multiobjective programming approach for selecting nonindependent transportation investment alternatives, Transportation Research Part B, 30 (1996), 291307. 
[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), 2944. 
[25] 
Y. Yin and S. Lawphongpanich, Internalizing emission externality on road networks, Transportation Research Part D, 11 (2006), 292301. 
[26] 
Y. Yin and H. Lu, Traffic equilibrium problems with environmental concerns, Journal of Eastern Asia Society for Transportation Study, 3 (1999), 195206. 
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