-
Previous Article
Speeding up a memetic algorithm for the max-bisection problem
- NACO Home
- This Issue
-
Next Article
Rank-one and sparse matrix decomposition for dynamic MRI
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, (2007). Google Scholar |
[2] |
C. M. Benedek and L. R. Rillet, Equitable traffic assignment with environmental cost functions,, \emph{Journal Transportation Engineering}, 124 (1998), 16. Google Scholar |
[3] |
E. Deakin, Sustainable develoment and sustaionable transportation: Strategies for economic prosperity environmental quality and equity,, Technical Report, (2001). Google Scholar |
[4] |
F. Facchinei, H. Jiang and L. Qi, A smoothing method for mathematical programs with equilibrium constraints,, \emph{Mathematical Programming}, 85 (1999), 107.
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,, \emph{Lecture Notes in Economics and Mathematical Systems} (eds. M. Théra and R. Tichatschke), ().
doi: 10.1007/978-3-642-45780-7. |
[6] |
C. M. Jeon and A. Amekudzi, Addressing sustainability in transportation systems,, (French) [Definitions, 11 (2005), 31. Google Scholar |
[7] |
G. H. Lin and M. Fukushima, A modified relaxation scheme for mathematical programs with complementarity constraints,, \emph{Annals of Operations Research}, 133 (2005), 63.
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,, \emph{Journal of Transportation Engineering}, 135 (2009), 406. Google Scholar |
[10] |
A. Nagurney, Sustainable Transportation Networks,, Edward Elgar, (). Google Scholar |
[11] |
A. Nagurney, Congested urban transportation networks and emission paradoxes,, \emph{Transportation Research Part D}, 5 (): 145. Google Scholar |
[12] |
A. Nagurney, Q. Qiang and L. S. Nagurney, Environmental impact assessment of transportation networks with degradable links in an era of climate change,, \emph{International Journal of Sustainable Transportation}, 1 (2007), 29. Google Scholar |
[13] |
A. Nagurney, Z. Liu and T. Woolley, Sustainable supply chain and transportation networks,, \emph{International Journal of Transportation}, 4 (2010), 154. Google Scholar |
[14] |
A. Nagurney, Z. Liu and T. Woolley, Sustainable supply chain and transportation networks,, \emph{International Journal of Transportation}, 4 (2010), 154. Google Scholar |
[15] |
M. Patriksson, The traffic assignment problem: Models and Methods,, VSP, (1994). Google Scholar |
[16] |
R. T. Rockafellar and R. J. B. Wets, Variational Analysis,, Springer-Verlag, (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, (2007). Google Scholar |
[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). Google Scholar |
[19] |
S. Sharma, Transportation Network Design Considering Environmental Parameters and Demand Uncertainity,, PhD thesis, (2009). Google Scholar |
[20] |
Y. Sheffi, Urban Transportation Networks,, First edition, (1985). Google Scholar |
[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], 1815 (2003), 29. Google Scholar |
[22] |
S. Scholtes, Convergence properties of a regularization scheme for mathematical programs with complementarity constraints,, \emph{SIAM J. Optim}, 11 (2001), 918.
doi: 10.1137/S1052623499361233. |
[23] |
J. Y. Teng and G. H. Tzeng, A multiobjective programming approach for selecting non-independent transportation investment alternatives,, \emph{Transportation Research Part B}, 30 (1996), 291. Google Scholar |
[24] |
M. M. Venigalla, A. Chatterjee and M. S. Bronzini, A specialized equilibrium assignment algorithm for air quality modeling,, \emph{Transportation Research Part D}, 4 (1999), 29. Google Scholar |
[25] |
Y. Yin and S. Lawphongpanich, Internalizing emission externality on road networks,, \emph{Transportation Research Part D}, 11 (2006), 292. Google Scholar |
[26] |
Y. Yin and H. Lu, Traffic equilibrium problems with environmental concerns,, \emph{Journal of Eastern Asia Society for Transportation Study}, 3 (1999), 195. Google Scholar |
show all references
References:
[1] |
S. P. Anusha, Study of Influence of Lane Restrictions on Vehicular Emissions under the Heterogeneous Traffic Flow,, MS thesis, (2007). Google Scholar |
[2] |
C. M. Benedek and L. R. Rillet, Equitable traffic assignment with environmental cost functions,, \emph{Journal Transportation Engineering}, 124 (1998), 16. Google Scholar |
[3] |
E. Deakin, Sustainable develoment and sustaionable transportation: Strategies for economic prosperity environmental quality and equity,, Technical Report, (2001). Google Scholar |
[4] |
F. Facchinei, H. Jiang and L. Qi, A smoothing method for mathematical programs with equilibrium constraints,, \emph{Mathematical Programming}, 85 (1999), 107.
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,, \emph{Lecture Notes in Economics and Mathematical Systems} (eds. M. Théra and R. Tichatschke), ().
doi: 10.1007/978-3-642-45780-7. |
[6] |
C. M. Jeon and A. Amekudzi, Addressing sustainability in transportation systems,, (French) [Definitions, 11 (2005), 31. Google Scholar |
[7] |
G. H. Lin and M. Fukushima, A modified relaxation scheme for mathematical programs with complementarity constraints,, \emph{Annals of Operations Research}, 133 (2005), 63.
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,, \emph{Journal of Transportation Engineering}, 135 (2009), 406. Google Scholar |
[10] |
A. Nagurney, Sustainable Transportation Networks,, Edward Elgar, (). Google Scholar |
[11] |
A. Nagurney, Congested urban transportation networks and emission paradoxes,, \emph{Transportation Research Part D}, 5 (): 145. Google Scholar |
[12] |
A. Nagurney, Q. Qiang and L. S. Nagurney, Environmental impact assessment of transportation networks with degradable links in an era of climate change,, \emph{International Journal of Sustainable Transportation}, 1 (2007), 29. Google Scholar |
[13] |
A. Nagurney, Z. Liu and T. Woolley, Sustainable supply chain and transportation networks,, \emph{International Journal of Transportation}, 4 (2010), 154. Google Scholar |
[14] |
A. Nagurney, Z. Liu and T. Woolley, Sustainable supply chain and transportation networks,, \emph{International Journal of Transportation}, 4 (2010), 154. Google Scholar |
[15] |
M. Patriksson, The traffic assignment problem: Models and Methods,, VSP, (1994). Google Scholar |
[16] |
R. T. Rockafellar and R. J. B. Wets, Variational Analysis,, Springer-Verlag, (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, (2007). Google Scholar |
[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). Google Scholar |
[19] |
S. Sharma, Transportation Network Design Considering Environmental Parameters and Demand Uncertainity,, PhD thesis, (2009). Google Scholar |
[20] |
Y. Sheffi, Urban Transportation Networks,, First edition, (1985). Google Scholar |
[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], 1815 (2003), 29. Google Scholar |
[22] |
S. Scholtes, Convergence properties of a regularization scheme for mathematical programs with complementarity constraints,, \emph{SIAM J. Optim}, 11 (2001), 918.
doi: 10.1137/S1052623499361233. |
[23] |
J. Y. Teng and G. H. Tzeng, A multiobjective programming approach for selecting non-independent transportation investment alternatives,, \emph{Transportation Research Part B}, 30 (1996), 291. Google Scholar |
[24] |
M. M. Venigalla, A. Chatterjee and M. S. Bronzini, A specialized equilibrium assignment algorithm for air quality modeling,, \emph{Transportation Research Part D}, 4 (1999), 29. Google Scholar |
[25] |
Y. Yin and S. Lawphongpanich, Internalizing emission externality on road networks,, \emph{Transportation Research Part D}, 11 (2006), 292. Google Scholar |
[26] |
Y. Yin and H. Lu, Traffic equilibrium problems with environmental concerns,, \emph{Journal of Eastern Asia Society for Transportation Study}, 3 (1999), 195. Google Scholar |
[1] |
Lan Luo, Zhe Zhang, Yong Yin. Simulated annealing and genetic algorithm based method for a bi-level seru loading problem with worker assignment in seru production systems. Journal of Industrial & Management Optimization, 2021, 17 (2) : 779-803. doi: 10.3934/jimo.2019134 |
[2] |
Zheng-Hai Huang, Jie Sun. A smoothing Newton algorithm for mathematical programs with complementarity constraints. Journal of Industrial & Management Optimization, 2005, 1 (2) : 153-170. doi: 10.3934/jimo.2005.1.153 |
[3] |
Yufeng Zhou, Bin Zheng, Jiafu Su, Yufeng Li. The joint location-transportation model based on grey bi-level programming for early post-earthquake relief. Journal of Industrial & Management Optimization, 2020 doi: 10.3934/jimo.2020142 |
[4] |
Gui-Hua Lin, Masao Fukushima. A class of stochastic mathematical programs with complementarity constraints: reformulations and algorithms. Journal of Industrial & Management Optimization, 2005, 1 (1) : 99-122. doi: 10.3934/jimo.2005.1.99 |
[5] |
Yongchao Liu. Quantitative stability analysis of stochastic mathematical programs with vertical complementarity constraints. Numerical Algebra, Control & Optimization, 2018, 8 (4) : 451-460. doi: 10.3934/naco.2018028 |
[6] |
Yi Zhang, Liwei Zhang, Jia Wu. On the convergence properties of a smoothing approach for mathematical programs with symmetric cone complementarity constraints. Journal of Industrial & Management Optimization, 2018, 14 (3) : 981-1005. doi: 10.3934/jimo.2017086 |
[7] |
X. X. Huang, D. Li, Xiaoqi Yang. Convergence of optimal values of quadratic penalty problems for mathematical programs with complementarity constraints. Journal of Industrial & Management Optimization, 2006, 2 (3) : 287-296. doi: 10.3934/jimo.2006.2.287 |
[8] |
Xiaoni Chi, Zhongping Wan, Zijun Hao. Second order sufficient conditions for a class of bilevel programs with lower level second-order cone programming problem. Journal of Industrial & Management Optimization, 2015, 11 (4) : 1111-1125. doi: 10.3934/jimo.2015.11.1111 |
[9] |
Zhi-Bin Deng, Ye Tian, Cheng Lu, Wen-Xun Xing. Globally solving quadratic programs with convex objective and complementarity constraints via completely positive programming. Journal of Industrial & Management Optimization, 2018, 14 (2) : 625-636. doi: 10.3934/jimo.2017064 |
[10] |
Xi-De Zhu, Li-Ping Pang, Gui-Hua Lin. Two approaches for solving mathematical programs with second-order cone complementarity constraints. Journal of Industrial & Management Optimization, 2015, 11 (3) : 951-968. doi: 10.3934/jimo.2015.11.951 |
[11] |
Jianling Li, Chunting Lu, Youfang Zeng. A smooth QP-free algorithm without a penalty function or a filter for mathematical programs with complementarity constraints. Numerical Algebra, Control & Optimization, 2015, 5 (2) : 115-126. doi: 10.3934/naco.2015.5.115 |
[12] |
Lei Guo, Gui-Hua Lin. Globally convergent algorithm for solving stationary points for mathematical programs with complementarity constraints via nonsmooth reformulations. Journal of Industrial & Management Optimization, 2013, 9 (2) : 305-322. doi: 10.3934/jimo.2013.9.305 |
[13] |
Tim Hoheisel, Christian Kanzow, Alexandra Schwartz. Improved convergence properties of the Lin-Fukushima-Regularization method for mathematical programs with complementarity constraints. Numerical Algebra, Control & Optimization, 2011, 1 (1) : 49-60. doi: 10.3934/naco.2011.1.49 |
[14] |
Chunlin Hao, Xinwei Liu. A trust-region filter-SQP method for mathematical programs with linear complementarity constraints. Journal of Industrial & Management Optimization, 2011, 7 (4) : 1041-1055. doi: 10.3934/jimo.2011.7.1041 |
[15] |
Liping Pang, Na Xu, Jian Lv. The inexact log-exponential regularization method for mathematical programs with vertical complementarity constraints. Journal of Industrial & Management Optimization, 2019, 15 (1) : 59-79. doi: 10.3934/jimo.2018032 |
[16] |
O. İlker Kolak, Orhan Feyzioğlu, Ş. İlker Birbil, Nilay Noyan, Semih Yalçindağ. Using emission functions in modeling environmentally sustainable traffic assignment policies. Journal of Industrial & Management Optimization, 2013, 9 (2) : 341-363. doi: 10.3934/jimo.2013.9.341 |
[17] |
Ming Chen, Chongchao Huang. A power penalty method for the general traffic assignment problem with elastic demand. Journal of Industrial & Management Optimization, 2014, 10 (4) : 1019-1030. doi: 10.3934/jimo.2014.10.1019 |
[18] |
Zhe Zhang, Jiuping Xu. Bi-level multiple mode resource-constrained project scheduling problems under hybrid uncertainty. Journal of Industrial & Management Optimization, 2016, 12 (2) : 565-593. doi: 10.3934/jimo.2016.12.565 |
[19] |
Bettina Klaus, Frédéric Payot. Paths to stability in the assignment problem. Journal of Dynamics & Games, 2015, 2 (3&4) : 257-287. doi: 10.3934/jdg.2015004 |
[20] |
Gang Qian, Deren Han, Lingling Xu, Hai Yang. Solving nonadditive traffic assignment problems: A self-adaptive projection-auxiliary problem method for variational inequalities. Journal of Industrial & Management Optimization, 2013, 9 (1) : 255-274. doi: 10.3934/jimo.2013.9.255 |
Impact Factor:
Tools
Metrics
Other articles
by authors
[Back to Top]