Abstract
The urban transit routing problem (UTRP) is NP-Hard and involves devising routes for public transport systems. It is a highly complex multi-constrained problem and the evaluation of candidate route sets can prove both time consuming and challenging, with many potential solutions rejected on the grounds of infeasibility. Due to the problem difficulty, metaheuristic algorithms are highly suitable, yet the success of such methods depend heavily on: (1) the quality of the chosen representation, (2) the effectiveness of the initialization procedures and (3) the suitability of the chosen neighbourhood moves. Our paper focuses on these three issues, and presents a framework which can be used as a starting point for solving this problem. We devise a simple model of the UTRP to evaluate candidate route sets. Finally, our approach is validated using simple hill-climbing and simulated annealing algorithms. Our simple method improves upon published results for Mandl’s benchmark problems. In addition, the potential for solving larger problem instances has been explored.
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References
Agrawal, J., Mathew, T.V.: Transit route network design using parallel genetic algorithm. J. Comput. Civil Eng., 248–256 (2004)
Baaj, M.H., Mahmassani, H.: An AI-based approach for transit route system planning and design. J. Adv. Transp. 25(2), 187–210 (1991)
Baaj, M.H., Mahmassani, H.S.: Hybrid route generation heuristic algorithm for the design of transit networks. Transp. Res. 3(1), 31–50 (1995)
Balcombe, R.: The demand for public transport: a practical guide. TRL Report, TRL Limited, UK (2004)
Ceder, A., Wilson, H.M.: Bus network design. Transp. Res. B 20B(4), 331–344 (1986)
Chakroborty, P., Dwivedi, T.: Optimal route network design for transit systems using genetic algorithms. Eng. Optim. 34(1), 83–100 (2002)
Chakroborty, P.: Genetic algorithms for optimal urban transit network design. Comput. Aided Civil Infrastruct. Eng. 18, 184–200 (2003)
Dijkstra, E.W.: A note on two problems in connexion with graphs. Numer. Math. 1, 269–271 (1959)
Emerson, B.: Design and planning guidelines for public transport infrastructure-bus route planning and transit streets. Public Transp. Auth. (2003)
Fan, L., Mumford, C.: A simplified model of the urban transit routing problem. In: The 7th Metaheuristics International Conference, Montreal, Canada (2007)
Fan, W., Machemehl, R.B.: A tabu search based heuristic method for the transit route network design problem. In: The 9th International Conference on Computer-Aided Scheduling of Public Transport, San Diego, California (2004)
Fan, W., Machemehl, R.B.: Using a simulated annealing algorithm to solve the transit route network design problem. J. Transp. Eng. 122–132 (2006)
Floyd, R.W.: Algorithm 97: shortest path. Commun. ACM 5(6), 345 (1962)
Israeli, Y., Ceder, A.: Designing transit routes at the network level. In: IEEE Vehicle Navigation and Information Systems Conference, pp. 310–316 (1989)
Kidwai, F.A.: Optimal design of bus transit network: a genetic algorithm based approach. PhD. dissertation, Indian Institute of Technology, Kanpur, India (1998)
Lampkin, W., Saalmans, P.D.: The design of routes, service frequencies and schedules for a municipal bus undertaking: a case study. OR Quarterly 18, 375–397 (1967)
Mandl, C.E.: Applied Network Optimization. Academic, London (1979)
Mandl, C.E.: Evaluation and optimization of urban public transport networks. In: Third Congress on Operations Research, Amsterdam, Netherlands (1979)
Mandl, C.E.: Evaluation and optimization of urban public transport networks. Eur. J. Oper. Res. 5, 396–404 (1980)
Pattnaik, S.B., Mohan, S., Tom, V.M.: Urban bus transit route network design using genetic algorithm. J. Transp. Eng. 368–375 (1998)
Simman, L., Barzily, Z., Passy, U.: Planning the route system for urban buses. Comput. Oper. Res. 1, 201–211 (1974)
Tom, V.M., Mohan, S.: Transit route network design using frequency coded genetic algorithm. J. Transp. Eng. 186–195 (2003)
White, P.: Public Transport: Its Planning, Management and Operation, 4th edn. Spon Press, 2002
Zhao, F., Gan, A.: Optimization of transit network to minimize transfers. Final Report, Lehman Center for Transportation Research, Florida International University (2003)
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Fan, L., Mumford, C.L. A metaheuristic approach to the urban transit routing problem. J Heuristics 16, 353–372 (2010). https://doi.org/10.1007/s10732-008-9089-8
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DOI: https://doi.org/10.1007/s10732-008-9089-8