Large-scale multimodal transportation network models and algorithms-Part II: Network capacity and network design problem

•This paper proposes a novel bi-level multimodal network capacity problem.•A tri-level multimodal network design model is then formulated.•Kriging-surrogate-based optimization algorithms are developed to solve the models.•Numerical studies are conducted on the real-scale Nanjing network with 12,000...

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Published in:Transportation research. Part E, Logistics and transportation review Vol. 167; p. 102918
Main Authors: Wang, Yu, Liu, Haoxiang, Fan, Yinchao, Ding, Jianxun, Long, Jiancheng
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.11.2022
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ISSN:1366-5545, 1878-5794
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Abstract •This paper proposes a novel bi-level multimodal network capacity problem.•A tri-level multimodal network design model is then formulated.•Kriging-surrogate-based optimization algorithms are developed to solve the models.•Numerical studies are conducted on the real-scale Nanjing network with 12,000 ODs.•Results show the efficiency of the proposed models and approaches. Transportation network capacity enhancement is essential in urban transportation planning. In this paper, a general multimodal network capacity problem (MNCP) is proposed, which can depict the transfers, mode overlap, and common line problem and congestion effect of transit. The problem is established as a bi-level model with combined mode choice and traffic assignment as the lower-level programming. Based on the MNCP, a tri-level multimodal network design problem (MNDP-MNCP) is developed to maximize the network capacity. The models are solved with an efficient Kriging-surrogate-based optimization algorithm in real-scale urban networks. Numerical results demonstrate the performances of the proposed framework.
AbstractList •This paper proposes a novel bi-level multimodal network capacity problem.•A tri-level multimodal network design model is then formulated.•Kriging-surrogate-based optimization algorithms are developed to solve the models.•Numerical studies are conducted on the real-scale Nanjing network with 12,000 ODs.•Results show the efficiency of the proposed models and approaches. Transportation network capacity enhancement is essential in urban transportation planning. In this paper, a general multimodal network capacity problem (MNCP) is proposed, which can depict the transfers, mode overlap, and common line problem and congestion effect of transit. The problem is established as a bi-level model with combined mode choice and traffic assignment as the lower-level programming. Based on the MNCP, a tri-level multimodal network design problem (MNDP-MNCP) is developed to maximize the network capacity. The models are solved with an efficient Kriging-surrogate-based optimization algorithm in real-scale urban networks. Numerical results demonstrate the performances of the proposed framework.
ArticleNumber 102918
Author Ding, Jianxun
Liu, Haoxiang
Wang, Yu
Fan, Yinchao
Long, Jiancheng
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  surname: Long
  fullname: Long, Jiancheng
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Cites_doi 10.1016/j.trb.2021.08.011
10.1287/trsc.21.4.254
10.1016/j.ejor.2014.01.053
10.1016/j.paerosci.2005.02.001
10.1016/j.trb.2009.10.003
10.2208/journalip.11.129
10.1016/j.tre.2015.04.005
10.1016/j.trb.2017.01.005
10.1016/j.tre.2021.102540
10.1016/0166-0462(87)90070-6
10.1016/j.tre.2020.102021
10.1111/j.1467-8667.2006.00468.x
10.1287/trsc.26.1.18
10.1016/S0191-2615(96)00030-6
10.2514/1.8650
10.1016/j.ejor.2017.05.007
10.3141/2284-06
10.1016/j.tre.2022.102832
10.1016/j.trb.2014.05.008
10.1016/S0191-2615(00)00016-3
10.1080/00401706.1989.10488474
10.1007/s11067-017-9372-z
10.1016/j.ejor.2006.07.038
10.1016/S0191-2615(99)00024-7
10.1016/S0191-2615(03)00015-8
10.2514/6.2003-649
10.1631/FITEE.1601403
10.1016/j.trb.2018.05.014
10.1002/atr.216
10.1080/01441649808717016
10.1016/j.trb.2014.10.009
10.1016/S0191-2615(00)00048-5
10.1016/j.trb.2018.08.004
10.1016/j.tre.2020.102187
10.1016/0191-2615(79)90004-3
10.1023/A:1012771025575
10.1016/j.tre.2019.05.010
10.1016/S0191-2615(01)00005-4
10.1016/S0191-2615(97)00002-7
10.1016/0377-2217(93)90143-B
10.1016/j.ejor.2005.02.034
10.1155/2015/385713
10.1111/mice.12058
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Keywords Network capacity
Tri-level model
Large-scale multimodal network
Kriging-surrogate-based optimization
Network design problem
Language English
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References Szeto, Jiang (b0195) 2012; 2284
Teklu, Sumalee, Watling (b0205) 2007; 22
Zheng, Zhang, Liang (b0260) 2020; 140
Fan, Ding, Liu, Wang, Long (b0065) 2022; 164
Sacks, Jerome, Schiller, Susannah, B., Welch, William, J., 1989. Design for computer experiments. Technometrics 31, 41-47.
Chen, Zhang, He, Xiong, Li (b0055) 2014; 29
Cantarella, Pavone, Vitetta (b0030) 2006; 175
Ceylan, Bell (b0035) 2004; 38
Wang, Lo (b0220) 2010; 44
Nestor, V., Queipo, and, Raphael, T., Haftka, and, Wei, Shyy, 2005. Surrogate-based analysis and optimization. Progr. Aerospace Sci. 41(1), 1-28.
Xu, Chen, Jansuwan, Yang, Ryu (b0230) 2018; 114
Di, Yang (b0060) 2020; 141
Liu, Zou, Chen, Long (b0150) 2021; 152
Martin, Simpson (b0160) 2004; 43
Wang, Liu, Szeto (b0215) 2015; 79
Poorzahedy, Rouhani (b0180) 2007; 182
Abdulaal, LeBlanc (b0005) 1979; 13
Yang, Bell (b0235) 1997; 31
Asakura, Kashiwadani (b0020) 1993; 11
Hansen (b0095) 1987; 17
Ahuja, R.K., Magnanti, T.L., Orlin, J.B., 1993. Network flows: theory, algorithms, and applications. Prentice-Hall, New Jersey, NJ, USA.
Long, Szeto, Huang (b0155) 2014; 237
Chen, Kasikitwiwat, Yang (b0050) 2013; 47
Ye, Jiang, Chen, Liu, Guo (b0255) 2021; 156
Liu, H., Wang, D.Z.W., Yue, H., 2015. Global Optimization for Transport Network Expansion and Signal Setting. Math. Probl. Eng. 2015.
Liu, Wang (b0130) 2015; 72
Han, Zhang (b0090) 2012
Karaboga, D., 2005. An idea based on honey bee swarm for numerical optimization, In: Technical Report-TR06, E.U., Engineering Faculty, Computer Engineering Department (Ed.).
Meng, Yang, Bell (b0170) 2001; 35
Chen, Kasikitwiwat (b0040) 2011; 45
Wong, Yang (b0225) 1997; 31
Friesz, Cho, Mehta, Tobin, Anandalingam (b0070) 1992; 26
Yang, Bell, Meng (b0250) 2000; 34
Asakura (b0015) 1992
Liu, Chen, Meng, Kim (b0120) 2018; 117
Chen, Yang, Lo, Tang (b0045) 2002; 36
Yang, Bell (b0240) 1998; 32
Li, Lin, Chen (b0115) 2017; 18
Liu, Wang, Cheng, Yin, Wang (b0145) 2021; 152
Suwansirikul, Friesz, Tobin (b0190) 1987; 21
Krige (b0110) 1951; 52
Liu, Wang (b0135) 2017; 103
Wang, Du, Lu, He (b0210) 2017; 18
Liu, Szeto, Long (b0140) 2019; 127
Bevrani, Burdett, Bhaskar, Yarlagadda (b0025) 2017; 263
Jones (b0100) 2001; 21
Yang, Bell (b0245) 1998; 18
Mckay, Beckman (b0165) 1979; 21
Friesz, Anandalingam, Mehta, Nam, Shah, Tobin (b0075) 1993; 65
Giunta, A.A., Wojtkiewicz, S.F., Eldred, M.S., 2003. Overview of modern design of experiments methods for computational simulations, 41st AIAA aerospace sciences meeting and exhibit. p. 649.
Szeto, Jiang (b0200) 2014; 67
Gao, Song (b0080) 2002; 36
Friesz (10.1016/j.tre.2022.102918_b0075) 1993; 65
10.1016/j.tre.2022.102918_b0085
Szeto (10.1016/j.tre.2022.102918_b0195) 2012; 2284
Ye (10.1016/j.tre.2022.102918_b0255) 2021; 156
Abdulaal (10.1016/j.tre.2022.102918_b0005) 1979; 13
Wong (10.1016/j.tre.2022.102918_b0225) 1997; 31
10.1016/j.tre.2022.102918_b0125
Wang (10.1016/j.tre.2022.102918_b0220) 2010; 44
Teklu (10.1016/j.tre.2022.102918_b0205) 2007; 22
Chen (10.1016/j.tre.2022.102918_b0040) 2011; 45
Gao (10.1016/j.tre.2022.102918_b0080) 2002; 36
Yang (10.1016/j.tre.2022.102918_b0235) 1997; 31
Long (10.1016/j.tre.2022.102918_b0155) 2014; 237
Bevrani (10.1016/j.tre.2022.102918_b0025) 2017; 263
Meng (10.1016/j.tre.2022.102918_b0170) 2001; 35
Asakura (10.1016/j.tre.2022.102918_b0015) 1992
Wang (10.1016/j.tre.2022.102918_b0210) 2017; 18
Jones (10.1016/j.tre.2022.102918_b0100) 2001; 21
Chen (10.1016/j.tre.2022.102918_b0045) 2002; 36
Szeto (10.1016/j.tre.2022.102918_b0200) 2014; 67
Fan (10.1016/j.tre.2022.102918_b0065) 2022; 164
Liu (10.1016/j.tre.2022.102918_b0145) 2021; 152
Ceylan (10.1016/j.tre.2022.102918_b0035) 2004; 38
Martin (10.1016/j.tre.2022.102918_b0160) 2004; 43
10.1016/j.tre.2022.102918_b0185
Wang (10.1016/j.tre.2022.102918_b0215) 2015; 79
10.1016/j.tre.2022.102918_b0105
Friesz (10.1016/j.tre.2022.102918_b0070) 1992; 26
Liu (10.1016/j.tre.2022.102918_b0135) 2017; 103
Chen (10.1016/j.tre.2022.102918_b0055) 2014; 29
Di (10.1016/j.tre.2022.102918_b0060) 2020; 141
Hansen (10.1016/j.tre.2022.102918_b0095) 1987; 17
Yang (10.1016/j.tre.2022.102918_b0240) 1998; 32
Krige (10.1016/j.tre.2022.102918_b0110) 1951; 52
Poorzahedy (10.1016/j.tre.2022.102918_b0180) 2007; 182
Liu (10.1016/j.tre.2022.102918_b0130) 2015; 72
Liu (10.1016/j.tre.2022.102918_b0150) 2021; 152
10.1016/j.tre.2022.102918_b0010
10.1016/j.tre.2022.102918_b0175
Mckay (10.1016/j.tre.2022.102918_b0165) 1979; 21
Liu (10.1016/j.tre.2022.102918_b0120) 2018; 117
Chen (10.1016/j.tre.2022.102918_b0050) 2013; 47
Liu (10.1016/j.tre.2022.102918_b0140) 2019; 127
Yang (10.1016/j.tre.2022.102918_b0245) 1998; 18
Asakura (10.1016/j.tre.2022.102918_b0020) 1993; 11
Yang (10.1016/j.tre.2022.102918_b0250) 2000; 34
Suwansirikul (10.1016/j.tre.2022.102918_b0190) 1987; 21
Han (10.1016/j.tre.2022.102918_b0090) 2012
Zheng (10.1016/j.tre.2022.102918_b0260) 2020; 140
Xu (10.1016/j.tre.2022.102918_b0230) 2018; 114
Cantarella (10.1016/j.tre.2022.102918_b0030) 2006; 175
Li (10.1016/j.tre.2022.102918_b0115) 2017; 18
References_xml – reference: Liu, H., Wang, D.Z.W., Yue, H., 2015. Global Optimization for Transport Network Expansion and Signal Setting. Math. Probl. Eng. 2015.
– volume: 31
  start-page: 397
  year: 1997
  end-page: 402
  ident: b0225
  article-title: Reserve capacity of a signal-controlled road network
  publication-title: Transp. Res. Part B
– volume: 127
  start-page: 284
  year: 2019
  end-page: 307
  ident: b0140
  article-title: Bike network design problem with a path-size logit-based equilibrium constraint: Formulation, global optimization, and matheuristic
  publication-title: Transp. Res. Part E
– volume: 67
  start-page: 235
  year: 2014
  end-page: 263
  ident: b0200
  article-title: Transit route and frequency design: Bi-level modeling and hybrid artificial bee colony algorithm approach
  publication-title: Transp. Res. Part B
– volume: 182
  start-page: 578
  year: 2007
  end-page: 596
  ident: b0180
  article-title: Hybrid meta-heuristic algorithms for solving network design problem
  publication-title: Eur. J. Oper. Res.
– volume: 140
  start-page: 16
  year: 2020
  end-page: 35
  ident: b0260
  article-title: Multimodal subsidy design for network capacity flexibility optimization
  publication-title: Transport. Res. Part A
– volume: 263
  start-page: 864
  year: 2017
  end-page: 878
  ident: b0025
  article-title: A capacity assessment approach for multi-modal transportation systems
  publication-title: Eur. J. Oper. Res.
– volume: 52
  start-page: 119
  year: 1951
  end-page: 139
  ident: b0110
  article-title: A statistical approach to some basic mine valuation problems on the Witwatersrand
  publication-title: J. Chem. Metall. Min. Soc. S. Afr.
– volume: 21
  start-page: 345
  year: 2001
  end-page: 383
  ident: b0100
  article-title: A taxonomy of global optimization methods based on response surfaces
  publication-title: J. Global Optim.
– start-page: 4
  year: 1992
  ident: b0015
  article-title: Maximum capacity of road network constrained by user equilibrium conditions
  publication-title: 24th Annual Conference of the UTSG
– volume: 156
  year: 2021
  ident: b0255
  article-title: Joint optimisation of transfer location and capacity for a capacitated multimodal transport network with elastic demand: a bi-level programming model and paradoxes
  publication-title: Transport. Res. Part E
– volume: 13
  start-page: 19
  year: 1979
  end-page: 32
  ident: b0005
  article-title: Continuous equilibrium network design models
  publication-title: Transp. Res. Part B
– volume: 114
  start-page: 68
  year: 2018
  end-page: 85
  ident: b0230
  article-title: Transportation network redundancy: Complementary measures and computational methods
  publication-title: Transp. Res. Part B
– volume: 38
  start-page: 329
  year: 2004
  end-page: 342
  ident: b0035
  article-title: Traffic signal timing optimisation based on genetic algorithm approach, including drivers’ routing
  publication-title: Transp. Res. Part B
– volume: 43
  start-page: 853
  year: 2004
  end-page: 863
  ident: b0160
  article-title: Use of kriging models to approximate deterministic computer models
  publication-title: Aiaa Journal
– reference: Karaboga, D., 2005. An idea based on honey bee swarm for numerical optimization, In: Technical Report-TR06, E.U., Engineering Faculty, Computer Engineering Department (Ed.).
– volume: 18
  start-page: 257
  year: 1998
  end-page: 278
  ident: b0245
  article-title: Models and algorithms for road network design: A review and some new developments
  publication-title: Transp. Rev.
– reference: Ahuja, R.K., Magnanti, T.L., Orlin, J.B., 1993. Network flows: theory, algorithms, and applications. Prentice-Hall, New Jersey, NJ, USA.
– volume: 2284
  start-page: 47
  year: 2012
  end-page: 56
  ident: b0195
  article-title: Hybrid artificial bee colony algorithm for transit network design
  publication-title: Transp. Res. Rec.
– volume: 79
  start-page: 213
  year: 2015
  end-page: 230
  ident: b0215
  article-title: A novel discrete network design problem formulation and its global optimization solution algorithm
  publication-title: Transp. Res. Part E
– volume: 22
  start-page: 31
  year: 2007
  end-page: 43
  ident: b0205
  article-title: A genetic algorithm approach for optimizing traffic control signals considering routing
  publication-title: Comput.-Aided Civ. Infrastruct. Eng.
– volume: 36
  start-page: 313
  year: 2002
  end-page: 323
  ident: b0080
  article-title: A reserve capacity model of optimal signal control with user-equilibrium route choice
  publication-title: Transp. Res. Part B
– reference: Sacks, Jerome, Schiller, Susannah, B., Welch, William, J., 1989. Design for computer experiments. Technometrics 31, 41-47.
– volume: 34
  start-page: 255
  year: 2000
  end-page: 275
  ident: b0250
  article-title: Modeling the capacity and level of service of urban transportation networks
  publication-title: Transp. Res. Part B
– volume: 18
  start-page: 1693
  year: 2017
  end-page: 1704
  ident: b0115
  article-title: A surrogate-based optimization algorithm for network design problems
  publication-title: Front. Inform. Technol. Electron. Eng.
– volume: 29
  start-page: 359
  year: 2014
  end-page: 381
  ident: b0055
  article-title: Surrogate-based optimization of expensive-to-evaluate objective for optimal highway toll charges in transportation network
  publication-title: Comput.-Aided Civ. Infrastruct. Eng.
– volume: 103
  start-page: 30
  year: 2017
  end-page: 55
  ident: b0135
  article-title: Locating multiple types of charging facilities for battery electric vehicles
  publication-title: Transp. Res. Part B
– start-page: 343
  year: 2012
  end-page: 362
  ident: b0090
  article-title: Surrogate-based optimization
  publication-title: Real-World Applications of Genetic Algorithms
– volume: 35
  start-page: 83
  year: 2001
  end-page: 105
  ident: b0170
  article-title: An equivalent continuously differentiable model and a locally convergent algorithm for the continuous network design problem
  publication-title: Transp. Res. Part B
– volume: 18
  start-page: 115
  year: 2017
  end-page: 143
  ident: b0210
  article-title: Maximizing network throughput under stochastic user equilibrium with elastic demand
  publication-title: Networks Spat. Econ.
– volume: 152
  start-page: 276
  year: 2021
  end-page: 294
  ident: b0145
  article-title: Estimation of urban network capacity with second-best constraints for multimodal transport systems
  publication-title: Transp. Res. Part B
– volume: 164
  start-page: 102832
  year: 2022
  ident: b0065
  article-title: Large-scale multimodal transportation network models and algorithms-Part I: The combined mode split and traffic assignment problem
  publication-title: Transport. Res. Part E
– volume: 117
  start-page: 37
  year: 2018
  end-page: 62
  ident: b0120
  article-title: Remote park-and-ride network equilibrium model and its applications
  publication-title: Transport. Res. Part B
– volume: 175
  start-page: 1682
  year: 2006
  end-page: 1695
  ident: b0030
  article-title: Heuristics for urban road network design: Lane layout and signal settings
  publication-title: Eur. J. Oper. Res.
– volume: 237
  start-page: 426
  year: 2014
  end-page: 439
  ident: b0155
  article-title: A bi-objective turning restriction design problem in urban road networks
  publication-title: Eur. J. Oper. Res.
– reference: Nestor, V., Queipo, and, Raphael, T., Haftka, and, Wei, Shyy, 2005. Surrogate-based analysis and optimization. Progr. Aerospace Sci. 41(1), 1-28.
– volume: 17
  start-page: 89
  year: 1987
  end-page: 108
  ident: b0095
  article-title: Industrial location choice in So Paulo, Brazil: a nested logit model
  publication-title: Reg. Sci. Urb. Econ.
– volume: 72
  start-page: 20
  year: 2015
  end-page: 39
  ident: b0130
  article-title: Global optimization method for network design problem with stochastic user equilibrium
  publication-title: Transp. Res. Part B
– volume: 11
  start-page: 129
  year: 1993
  end-page: 136
  ident: b0020
  article-title: Estimation model of maximum road network capacity with parking constraints and its application
  publication-title: Infrastruct. Plan. Rev.
– reference: Giunta, A.A., Wojtkiewicz, S.F., Eldred, M.S., 2003. Overview of modern design of experiments methods for computational simulations, 41st AIAA aerospace sciences meeting and exhibit. p. 649.
– volume: 36
  start-page: 225
  year: 2002
  end-page: 252
  ident: b0045
  article-title: Capacity reliability of a road network: an assessment methodology and numerical results
  publication-title: Transp. Res. Part B
– volume: 21
  start-page: 254
  year: 1987
  end-page: 263
  ident: b0190
  article-title: Equilibrium decomposed optimization: a heuristic for the continuous equilibrium network design problem
  publication-title: Transport. Sci.
– volume: 152
  year: 2021
  ident: b0150
  article-title: Optimal locations and electricity prices for dynamic wireless charging links of electric vehicles for sustainable transportation
  publication-title: Transp. Res. Part E
– volume: 44
  start-page: 482
  year: 2010
  end-page: 492
  ident: b0220
  article-title: Global optimum of the linearized network design problem with equilibrium flows
  publication-title: Transp. Res. Part B
– volume: 65
  start-page: 44
  year: 1993
  end-page: 57
  ident: b0075
  article-title: The multiobjective equilibrium network design problem revisited: a simulated annealing approach
  publication-title: Eur. J. Oper. Res.
– volume: 45
  start-page: 105
  year: 2011
  end-page: 117
  ident: b0040
  article-title: Modeling capacity flexibility of transportation networks
  publication-title: Transport. Res. Part A
– volume: 31
  start-page: 303
  year: 1997
  end-page: 314
  ident: b0235
  article-title: Traffic restraint, road pricing and network equilibrium
  publication-title: Transp. Res. Part B
– volume: 32
  start-page: 539
  year: 1998
  end-page: 545
  ident: b0240
  article-title: A capacity paradox in network design and how to avoid it
  publication-title: Transport. Res. Part A
– volume: 21
  start-page: 266
  year: 1979
  end-page: 294
  ident: b0165
  article-title: Comparison of three methods for selecting values of input variables in the analysis of output from a computer code
  publication-title: Technometrics
– volume: 26
  start-page: 18
  year: 1992
  ident: b0070
  article-title: A simulated annealing approach to the network design problem with variational inequality constraints
  publication-title: Transport. Sci.
– volume: 47
  start-page: 79
  year: 2013
  end-page: 104
  ident: b0050
  article-title: Alternate capacity reliability measures for transportation networks
  publication-title: J. Adv. Transport.
– volume: 141
  year: 2020
  ident: b0060
  article-title: Reversible lane network design for maximizing the coupling measure between demand structure and network structure
  publication-title: Transport. Res. Part E
– start-page: 343
  year: 2012
  ident: 10.1016/j.tre.2022.102918_b0090
  article-title: Surrogate-based optimization
– volume: 152
  start-page: 276
  year: 2021
  ident: 10.1016/j.tre.2022.102918_b0145
  article-title: Estimation of urban network capacity with second-best constraints for multimodal transport systems
  publication-title: Transp. Res. Part B
  doi: 10.1016/j.trb.2021.08.011
– volume: 21
  start-page: 254
  issue: 4
  year: 1987
  ident: 10.1016/j.tre.2022.102918_b0190
  article-title: Equilibrium decomposed optimization: a heuristic for the continuous equilibrium network design problem
  publication-title: Transport. Sci.
  doi: 10.1287/trsc.21.4.254
– volume: 21
  start-page: 266
  issue: 2
  year: 1979
  ident: 10.1016/j.tre.2022.102918_b0165
  article-title: Comparison of three methods for selecting values of input variables in the analysis of output from a computer code
  publication-title: Technometrics
– volume: 237
  start-page: 426
  issue: 2
  year: 2014
  ident: 10.1016/j.tre.2022.102918_b0155
  article-title: A bi-objective turning restriction design problem in urban road networks
  publication-title: Eur. J. Oper. Res.
  doi: 10.1016/j.ejor.2014.01.053
– ident: 10.1016/j.tre.2022.102918_b0175
  doi: 10.1016/j.paerosci.2005.02.001
– volume: 44
  start-page: 482
  issue: 4
  year: 2010
  ident: 10.1016/j.tre.2022.102918_b0220
  article-title: Global optimum of the linearized network design problem with equilibrium flows
  publication-title: Transp. Res. Part B
  doi: 10.1016/j.trb.2009.10.003
– volume: 11
  start-page: 129
  year: 1993
  ident: 10.1016/j.tre.2022.102918_b0020
  article-title: Estimation model of maximum road network capacity with parking constraints and its application
  publication-title: Infrastruct. Plan. Rev.
  doi: 10.2208/journalip.11.129
– volume: 79
  start-page: 213
  year: 2015
  ident: 10.1016/j.tre.2022.102918_b0215
  article-title: A novel discrete network design problem formulation and its global optimization solution algorithm
  publication-title: Transp. Res. Part E
  doi: 10.1016/j.tre.2015.04.005
– volume: 103
  start-page: 30
  year: 2017
  ident: 10.1016/j.tre.2022.102918_b0135
  article-title: Locating multiple types of charging facilities for battery electric vehicles
  publication-title: Transp. Res. Part B
  doi: 10.1016/j.trb.2017.01.005
– volume: 156
  year: 2021
  ident: 10.1016/j.tre.2022.102918_b0255
  article-title: Joint optimisation of transfer location and capacity for a capacitated multimodal transport network with elastic demand: a bi-level programming model and paradoxes
  publication-title: Transport. Res. Part E
  doi: 10.1016/j.tre.2021.102540
– volume: 17
  start-page: 89
  issue: 1
  year: 1987
  ident: 10.1016/j.tre.2022.102918_b0095
  article-title: Industrial location choice in So Paulo, Brazil: a nested logit model
  publication-title: Reg. Sci. Urb. Econ.
  doi: 10.1016/0166-0462(87)90070-6
– volume: 141
  year: 2020
  ident: 10.1016/j.tre.2022.102918_b0060
  article-title: Reversible lane network design for maximizing the coupling measure between demand structure and network structure
  publication-title: Transport. Res. Part E
  doi: 10.1016/j.tre.2020.102021
– volume: 22
  start-page: 31
  issue: 1
  year: 2007
  ident: 10.1016/j.tre.2022.102918_b0205
  article-title: A genetic algorithm approach for optimizing traffic control signals considering routing
  publication-title: Comput.-Aided Civ. Infrastruct. Eng.
  doi: 10.1111/j.1467-8667.2006.00468.x
– volume: 26
  start-page: 18
  issue: 1
  year: 1992
  ident: 10.1016/j.tre.2022.102918_b0070
  article-title: A simulated annealing approach to the network design problem with variational inequality constraints
  publication-title: Transport. Sci.
  doi: 10.1287/trsc.26.1.18
– volume: 31
  start-page: 303
  issue: 4
  year: 1997
  ident: 10.1016/j.tre.2022.102918_b0235
  article-title: Traffic restraint, road pricing and network equilibrium
  publication-title: Transp. Res. Part B
  doi: 10.1016/S0191-2615(96)00030-6
– start-page: 4
  year: 1992
  ident: 10.1016/j.tre.2022.102918_b0015
  article-title: Maximum capacity of road network constrained by user equilibrium conditions
– volume: 43
  start-page: 853
  issue: 4
  year: 2004
  ident: 10.1016/j.tre.2022.102918_b0160
  article-title: Use of kriging models to approximate deterministic computer models
  publication-title: Aiaa Journal
  doi: 10.2514/1.8650
– volume: 263
  start-page: 864
  issue: 3
  year: 2017
  ident: 10.1016/j.tre.2022.102918_b0025
  article-title: A capacity assessment approach for multi-modal transportation systems
  publication-title: Eur. J. Oper. Res.
  doi: 10.1016/j.ejor.2017.05.007
– volume: 2284
  start-page: 47
  issue: 1
  year: 2012
  ident: 10.1016/j.tre.2022.102918_b0195
  article-title: Hybrid artificial bee colony algorithm for transit network design
  publication-title: Transp. Res. Rec.
  doi: 10.3141/2284-06
– ident: 10.1016/j.tre.2022.102918_b0010
– volume: 164
  start-page: 102832
  year: 2022
  ident: 10.1016/j.tre.2022.102918_b0065
  article-title: Large-scale multimodal transportation network models and algorithms-Part I: The combined mode split and traffic assignment problem
  publication-title: Transport. Res. Part E
  doi: 10.1016/j.tre.2022.102832
– volume: 67
  start-page: 235
  year: 2014
  ident: 10.1016/j.tre.2022.102918_b0200
  article-title: Transit route and frequency design: Bi-level modeling and hybrid artificial bee colony algorithm approach
  publication-title: Transp. Res. Part B
  doi: 10.1016/j.trb.2014.05.008
– volume: 35
  start-page: 83
  issue: 1
  year: 2001
  ident: 10.1016/j.tre.2022.102918_b0170
  article-title: An equivalent continuously differentiable model and a locally convergent algorithm for the continuous network design problem
  publication-title: Transp. Res. Part B
  doi: 10.1016/S0191-2615(00)00016-3
– ident: 10.1016/j.tre.2022.102918_b0185
  doi: 10.1080/00401706.1989.10488474
– volume: 18
  start-page: 115
  issue: 1
  year: 2017
  ident: 10.1016/j.tre.2022.102918_b0210
  article-title: Maximizing network throughput under stochastic user equilibrium with elastic demand
  publication-title: Networks Spat. Econ.
  doi: 10.1007/s11067-017-9372-z
– volume: 182
  start-page: 578
  issue: 2
  year: 2007
  ident: 10.1016/j.tre.2022.102918_b0180
  article-title: Hybrid meta-heuristic algorithms for solving network design problem
  publication-title: Eur. J. Oper. Res.
  doi: 10.1016/j.ejor.2006.07.038
– volume: 34
  start-page: 255
  issue: 4
  year: 2000
  ident: 10.1016/j.tre.2022.102918_b0250
  article-title: Modeling the capacity and level of service of urban transportation networks
  publication-title: Transp. Res. Part B
  doi: 10.1016/S0191-2615(99)00024-7
– volume: 38
  start-page: 329
  issue: 4
  year: 2004
  ident: 10.1016/j.tre.2022.102918_b0035
  article-title: Traffic signal timing optimisation based on genetic algorithm approach, including drivers’ routing
  publication-title: Transp. Res. Part B
  doi: 10.1016/S0191-2615(03)00015-8
– ident: 10.1016/j.tre.2022.102918_b0085
  doi: 10.2514/6.2003-649
– volume: 18
  start-page: 1693
  issue: 11
  year: 2017
  ident: 10.1016/j.tre.2022.102918_b0115
  article-title: A surrogate-based optimization algorithm for network design problems
  publication-title: Front. Inform. Technol. Electron. Eng.
  doi: 10.1631/FITEE.1601403
– ident: 10.1016/j.tre.2022.102918_b0105
– volume: 114
  start-page: 68
  year: 2018
  ident: 10.1016/j.tre.2022.102918_b0230
  article-title: Transportation network redundancy: Complementary measures and computational methods
  publication-title: Transp. Res. Part B
  doi: 10.1016/j.trb.2018.05.014
– volume: 45
  start-page: 105
  issue: 2
  year: 2011
  ident: 10.1016/j.tre.2022.102918_b0040
  article-title: Modeling capacity flexibility of transportation networks
  publication-title: Transport. Res. Part A
– volume: 47
  start-page: 79
  issue: 1
  year: 2013
  ident: 10.1016/j.tre.2022.102918_b0050
  article-title: Alternate capacity reliability measures for transportation networks
  publication-title: J. Adv. Transport.
  doi: 10.1002/atr.216
– volume: 18
  start-page: 257
  issue: 3
  year: 1998
  ident: 10.1016/j.tre.2022.102918_b0245
  article-title: Models and algorithms for road network design: A review and some new developments
  publication-title: Transp. Rev.
  doi: 10.1080/01441649808717016
– volume: 72
  start-page: 20
  year: 2015
  ident: 10.1016/j.tre.2022.102918_b0130
  article-title: Global optimization method for network design problem with stochastic user equilibrium
  publication-title: Transp. Res. Part B
  doi: 10.1016/j.trb.2014.10.009
– volume: 36
  start-page: 225
  issue: 3
  year: 2002
  ident: 10.1016/j.tre.2022.102918_b0045
  article-title: Capacity reliability of a road network: an assessment methodology and numerical results
  publication-title: Transp. Res. Part B
  doi: 10.1016/S0191-2615(00)00048-5
– volume: 117
  start-page: 37
  year: 2018
  ident: 10.1016/j.tre.2022.102918_b0120
  article-title: Remote park-and-ride network equilibrium model and its applications
  publication-title: Transport. Res. Part B
  doi: 10.1016/j.trb.2018.08.004
– volume: 152
  year: 2021
  ident: 10.1016/j.tre.2022.102918_b0150
  article-title: Optimal locations and electricity prices for dynamic wireless charging links of electric vehicles for sustainable transportation
  publication-title: Transp. Res. Part E
  doi: 10.1016/j.tre.2020.102187
– volume: 13
  start-page: 19
  issue: 1
  year: 1979
  ident: 10.1016/j.tre.2022.102918_b0005
  article-title: Continuous equilibrium network design models
  publication-title: Transp. Res. Part B
  doi: 10.1016/0191-2615(79)90004-3
– volume: 21
  start-page: 345
  issue: 4
  year: 2001
  ident: 10.1016/j.tre.2022.102918_b0100
  article-title: A taxonomy of global optimization methods based on response surfaces
  publication-title: J. Global Optim.
  doi: 10.1023/A:1012771025575
– volume: 127
  start-page: 284
  year: 2019
  ident: 10.1016/j.tre.2022.102918_b0140
  article-title: Bike network design problem with a path-size logit-based equilibrium constraint: Formulation, global optimization, and matheuristic
  publication-title: Transp. Res. Part E
  doi: 10.1016/j.tre.2019.05.010
– volume: 36
  start-page: 313
  issue: 4
  year: 2002
  ident: 10.1016/j.tre.2022.102918_b0080
  article-title: A reserve capacity model of optimal signal control with user-equilibrium route choice
  publication-title: Transp. Res. Part B
  doi: 10.1016/S0191-2615(01)00005-4
– volume: 31
  start-page: 397
  issue: 5
  year: 1997
  ident: 10.1016/j.tre.2022.102918_b0225
  article-title: Reserve capacity of a signal-controlled road network
  publication-title: Transp. Res. Part B
  doi: 10.1016/S0191-2615(97)00002-7
– volume: 32
  start-page: 539
  issue: 7
  year: 1998
  ident: 10.1016/j.tre.2022.102918_b0240
  article-title: A capacity paradox in network design and how to avoid it
  publication-title: Transport. Res. Part A
– volume: 140
  start-page: 16
  year: 2020
  ident: 10.1016/j.tre.2022.102918_b0260
  article-title: Multimodal subsidy design for network capacity flexibility optimization
  publication-title: Transport. Res. Part A
– volume: 65
  start-page: 44
  issue: 1
  year: 1993
  ident: 10.1016/j.tre.2022.102918_b0075
  article-title: The multiobjective equilibrium network design problem revisited: a simulated annealing approach
  publication-title: Eur. J. Oper. Res.
  doi: 10.1016/0377-2217(93)90143-B
– volume: 175
  start-page: 1682
  issue: 3
  year: 2006
  ident: 10.1016/j.tre.2022.102918_b0030
  article-title: Heuristics for urban road network design: Lane layout and signal settings
  publication-title: Eur. J. Oper. Res.
  doi: 10.1016/j.ejor.2005.02.034
– volume: 52
  start-page: 119
  issue: 6
  year: 1951
  ident: 10.1016/j.tre.2022.102918_b0110
  article-title: A statistical approach to some basic mine valuation problems on the Witwatersrand
  publication-title: J. Chem. Metall. Min. Soc. S. Afr.
– ident: 10.1016/j.tre.2022.102918_b0125
  doi: 10.1155/2015/385713
– volume: 29
  start-page: 359
  issue: 5
  year: 2014
  ident: 10.1016/j.tre.2022.102918_b0055
  article-title: Surrogate-based optimization of expensive-to-evaluate objective for optimal highway toll charges in transportation network
  publication-title: Comput.-Aided Civ. Infrastruct. Eng.
  doi: 10.1111/mice.12058
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Snippet •This paper proposes a novel bi-level multimodal network capacity problem.•A tri-level multimodal network design model is then...
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StartPage 102918
SubjectTerms Kriging-surrogate-based optimization
Large-scale multimodal network
Network capacity
Network design problem
Tri-level model
Title Large-scale multimodal transportation network models and algorithms-Part II: Network capacity and network design problem
URI https://dx.doi.org/10.1016/j.tre.2022.102918
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