Solution Structure for an Analytic Model of Bus Service Zones
Publication: Journal of Transportation Engineering
Volume 140, Issue 2
Abstract
This paper points out questionable derivations for the formulated solution in the algebraic approach for the optimal length of local bus route of a traffic model for bus service zones. It also provides revisions for the algebraic approach to prove the existence and uniqueness for the formulated optimal solution. An iterative method was then applied to obtain an alternative sequence that converges to the optimal solution. The same numerical examples in the literature are examined to support the findings.
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Acknowledgments
This research is partially supported by National Science Council of the Republic of China with Grant No. 101-2410-H- 015-002, the English revision was by Sophia Liu ([email protected]), and the equipment of Gonzaga University.
References
Abdelgawad, H., and Abdulhai, B. (2012). “Large-scale evacuation using subway and bus transit: Approach and application in city of Toronto.” J. Transp. Eng., 1215–1232.
Alshalalfah, B., and Shalaby, A. (2012). “Feasibility of flex-route as a feeder transit service to rail stations in the suburbs: Case study in Toronto.” J. Urban Plann. Dev., 90–100.
Arasan, V. T., and Vedagiri, P. (2010). “Microsimulation study of the effect of exclusive bus lanes on heterogeneous traffic flow.” J. Urban Plann. Dev., 50–58.
Chang, S. K., and Chu, T.-S. (2005). “Optimal headway and route length for a public transit system the consideration of externality.” J. E. Asia Soc. Transp. Stud., 6, 4001–4016.
Chang, S. K., and Schonfeld, P. M. (1993). “Optimal dimensions of bus service zones.” J. Transp. Eng., 567–584.
Chien, S., and Schonfeld, P. M. (1997). “Optimization of grid transit system in heterogeneous urban environment.” J. Transp. Eng., 28–35.
Creput, J.-C., and Koukam, A. (2007). “Interactive meshing for the design and optimization of bus transportation networks.” J. Transp. Eng., 529–538.
Imam, M. O. (1998). “Optimal design of public bus service with demand equilibrium.” J. Transp. Eng., 431–436.
Kepaptsoglou, K., and Karlaftis, M. (2009). “Transit route network design problem: Review.” J. Transp. Eng., 491–505.
Li, Z., Lam, W. H. K., Wong, S. C., and Sumalee, A. (2011). “Design of a rail transit line for profit maximization in a linear transportation corridor.” Proc. Soc. Behav. Sci., 17, 82–112.
Li, Z.-C., Lam, W. H. K., Wong, S. C., and Sumalee, A. (2012). “Design of a rail transit line for profit maximization in a linear transportation corridor.” Transp. Res. Part E, 48(1), 50–70.
Spiegel, M. R. (1968). Mathematical handbook of formulas and tables, McGraw-Hill, New York.
Van Nes, R. (2002). “Multilevel network optimization for public transport networks.” Transportation Research Record 1799, Transportation Research Board, Washington, DC.
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Information
Published In
Journal of Transportation Engineering
Volume 140 • Issue 2 • February 2014
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Apr 11, 2013
Accepted: Sep 11, 2013
Published online: Sep 13, 2013
Published in print: Feb 1, 2014
Discussion open until: Apr 27, 2014
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