Abstract
This paper aims to model and investigate the discrete urban road network design problem, using a multi-objective time-dependent decision-making approach. Given a base network made up with two-way links, candidate link expansion projects, and candidate link construction projects, the problem determines the optimal combination of one-way and two-way links, the optimal selection of capacity expansion projects, and the optimal lane allocations on two-way links over a dual time scale. The problem considers both the total travel time and the total CO emissions as the two objective function measures. The problem is modelled using a time-dependent approach that considers a planning horizon of multiple years and both morning and evening peaks. Under this approach, the model allows determining the sequence of link construction, the expansion projects over a predetermined planning horizon, the configuration of street orientations, and the lane allocations for morning and evening peaks in each year of the planning horizon. This model is formulated as a mixed-integer programming problem with mathematical equilibrium constraints. In this regard, two multi-objective metaheuristics, including a modified non-dominated sorting genetic algorithm (NSGA-II) and a multi-objective B-cell algorithm, are proposed to solve the above-mentioned problem. Computational results for various test networks are also presented in this paper.
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References
Ben-Ayed O, Boyce DE and Blair CE (1988). A general bilevel linear programming formulation of the network design problem. Transportation Research Part B 22 (4): 311–318.
Cantarella GE and Vitetta A (2006). The multi-criteria road network design problem in an urban area. Transportation 33 (6): 567–588.
Cantarella GE, Pavone G and Vitetta A (2006). Heuristics for urban road network design: Lane layout and signal settings. European Journal of Operational Research 175 (3): 1682–1695.
Deb K, Pratap A, Agarwal S and Meyariavan T (2002). A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation 6 (2): 182–197.
Drezner Z and Wesolowsky GO (1997). Selecting an optimum configuration of one-way and two-way routes. Transportation Science 31 (4): 386–394.
Drezner Z and Wesolowsky GO (2003). Network design: Selection and design of links and facility location. Transportation Research Part A 37 (3): 241–256.
Farahani RZ, Miandoabchi E, Szeto WY and Rashidi H (2013). A review of urban transportation network design problems. European Journal of Operational Research 229 (1): 281–302.
Friesz TL, Anandalingam G, MehtaN J, Nam K, Shah SJ and Tobin RL (1993). The multiobjective equilibrium network design problem revisited: A simulated annealing approach. European Journal of Operational Research 65 (1): 44–57.
Harker PT and Friesz TL (1984). Bounding the solution of the continuous equilibrium network design problem. In: Volmuller J. and Hamerslag R (eds). Proceedings of the 9th International Symposium on Transportation and Traffic Theory, Delft. VNU Science Press: Utrecht.
Holland JH (1975). Adaptation in Natural and Artificial Systems. The University of Michigan Press: Ann Arbor, MI.
Kelsey J and Timmis J (2003). Immune inspired somatic contiguous hypermutation for function optimization. In: Proceedings of Genetic and Evolutionary Computation Conference (GECCO 2003). Chicago, Springer, Berlin/Heidelberg.
LeBlanc LJ, Morlok EK and Pierskalla WP (1975). An efficient approach to solving the road network equilibrium traffic assignment problem. Transportation Research 9 (5): 309–318.
Lo HK and Szeto WY (2004). Chapter 9: Planning transport network improvements over time. In Boyce D and Lee DH (eds). Urban and Regional Transportation Modeling: Essays in Honor of David Boyce. E. Elgar, cop.: Cheltenham (G.B.): Northampton, MA, pp 157–176.
Lo HK and Szeto WY (2009). Time-dependent transport network design under cost-recovery. Transportation Research Part B 43 (1): 142–158.
Magnanti TL and Wong RT (1984). Network design and transportation planning: Models and algorithms. Transportation Science 18 (1): 1–55.
Meng Q and Yang H (2002). Benefit distribution and equity in road network design. Transportation Research Part B 36 (1): 19–35.
Miandoabchi E and Farahani RZ (2011). Optimizing reserve capacity of urban road networks in a discrete network design problem. Advances in Engineering Software 42 (12): 1041–1050.
Miandoabchi E, Farahani RZ and Szeto WY (2012). Bi-objective bimodal urban road network design using hybrid metaheuristics. Central European Journal of Operational Research 20 (4): 583–621.
Miandoabchi E, Daneshzand F, Szeto WY and Farahani RZ (2013). Multi-objective discrete urban road network design. Computers & Operations Research 40 (10): 2429–2449.
Nagurney A (1984). Comparative tests of multimodal traffic equilibrium methods. Transportation Research Part B 18 (6): 469–485.
Nam D and Park CH (2000). Multiobjective simulated annealing: A comparative study to evolutionary algorithms. International Journal of Fuzzy Systems 2 (2): 87–97.
Nguyen S and Dupuis C (1984). An efficient method for computing traffic equilibria in networks with asymmetric transportation costs. Transportation Science 18 (2): 185–202.
O’Brien L and Szeto WY (2007). The discrete network design problem over time. HKIE Transactions 14 (4): 47–55.
Rilett LR and Benedek CM (1994). Traffic assignment under environmental and equity objective. Transportation Research Record, No. 1443, pp 92–99.
Sheffi Y (1985). Urban Transportation Networks: Equilibrium Analysis with Mathematical Programming Methods. Prentice-Hall: Englewood Cliffs, NJ.
Szeto WY and Lo HK (2008). Time-dependent transport network improvement and tolling strategies. Transportation Research Part A 42 (2): 376–391.
Szeto WY and Wu YZ (2011). A simultaneous bus route design and frequency setting problem for Tin Shui Wai, Hong Kong. European Journal of Operations Research 209 (1): 141–155.
Szeto WY, Jaber XQ and O’Mahony M (2010). Time-dependent discrete network design frameworks considering land use. Computer-Aided Civil and Infrastructure Engineering 25 (6): 411–426.
Szeto WY, Jaber XQ and Wong SC (2012). Road network equilibrium approaches to environmental sustainability. Transport Reviews 32 (4): 491–518.
Wei CH and Schonfeld PM (1993). An artificial neural network approach for evaluating transportation network improvements. Journal of Advanced Transportation 27 (2): 129–151.
Yang H and Bell MGH (1998). Models and algorithms for road network design: A review and some new developments. Transport Reviews 18 (3): 257–278.
Yin Y and Lawphongpanich S (2006). Internalizing emission externality on road networks. Transportation Research Part D 11 (4): 292–301.
Zitzler E, Deb K and Thiele L (2000). Comparison of multiobjective evolutionary algorithms: Empirical results. Evolutionary Computation 8 (2): 173–195.
Acknowledgements
The research was jointly supported by grant (201211159009) from the University Research Committee of the University of Hong Kong, and a grant from National Natural Science Foundation of China (71271183). The authors are very grateful to the three reviewers for their constructive comments.
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Miandoabchi, E., Daneshzand, F., Zanjirani Farahani, R. et al. Time-dependent discrete road network design with both tactical and strategic decisions. J Oper Res Soc 66, 894–913 (2015). https://doi.org/10.1057/jors.2014.55
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DOI: https://doi.org/10.1057/jors.2014.55