Improving the public transit system for routes with scheduled headways
DOI:
https://doi.org/10.2298/YJOR130207011CKeywords:
analytical approach, headway of bus, stop-spacing, public transportationAbstract
This research contributes to the improvement of the optimal headway solution for the transit performance functions (e. g., minimize total cost; maximize social welfare) derived from the traffic model proposed by Hendrickson. The purpose of this paper is threefold. First, we prove that that model has a unique solution for headway. Second, we offer a formulated approximation for headway. Third, numerical examples illustrate that our formulated approximation performs more accurately than the Hendrickson’s.References
An, Y., and Zhang, Z., “Congestion with heterogeneous commuters”, Economic Modelling, 29 (2012) 557-565.
Chang, S.K. and Schonfeld, P.M., “Multiple period optimization of bus transit systems”, Transportation Research Part B, 25(6) (1991) 453-478.
Chang, S.K. and Schonfeld, P.M., “Welfare maximization with financial constraints for bus transit systems”, Transportation Research Record, 1395 (1993) 48-57.
Coffelt Jr., D.P., and Hendrickson, C.T., “Case Study of Occupant Costs in Roof Management”, Journal of Architectural Engineering, 18(4) (2012) 341-348.
Chien, S. and Schonfeld, P.M., “Optimization of Grid Transit System in Heterogeneous Urban Environment”, Journal of Transportation Engineering, 123(1) (1997) 28-35.
Golob, T.F., Canty, E.T., Gustafson, R.L., and Vitt, J.E., “An analysis of consumer preferences for a public transportation system”, Transportation Research, 6 (1972) 81-102.
Hendrickson, C.T., “Travel time and volume relationships in scheduled, fixed-route public transportation”, Transportation Research Part A, 15 (1981) 173-182.
Hill, C.D., Flitney, A.P., and Menicucci, N.C., “A competitive game whose maximal Nash equilibrium payoff requires quantum resources for its achievement”, Physics Letters A, 374 (2010) 3619-3624.
Hung, K.C., “Continuous review inventory models under time value of money and crashable lead time consideration”, Yugoslav Journal of Operations Research, 21(2) (2011) 293-306.
Jain, M., and Saksena, P.K., “Time minimizing transportation problem with fractional bottleneck objective function”, Yugoslav Journal of Operations Research, 22(1) (2012) 115-129.
Lin, J., Chao, H., and Julian, P., “A demand independent inventory model”, Yugoslav Journal of Operations Research, 23(1) (2013) 129-135.
Osuna, E.E., and Newell, G.F., “Control strategies for an idealized public transportation system”, Transportation Science, 6 (1972) 52-72.
Otsubo, H., and Rapoport, A., “Vickrey’s model of traffic congestion discretized”, Transportation Research Part B, 42 (2008) 873-889.
Pop, P., and Sitar, C. P., “A new efficient transformation of the generalized vehicle routing problem into the classical vehicle routing problem”, Yugoslav Journal of Operations Research, 21(2) (2011) 187-198.
Renault, J., Scarlatti, S., and Scarsini, M., “A folk theorem for minority games”, Games and Economic Behavior, 53 (2) (2005) 208-230.
Renault, J., Scarlatti, S., and Scarsini, M., “Discounted and finitely repeated minority games with public signals”, Mathematical Social Sciences, 56 (2008) 44-74.
Traut, E., Hendrickson, C., Klampfl, E., Liu, Y., and Michalek, J.J., “Optimal design and allocation of electrified vehicles and dedicated charging infrastructure for minimum life cycle greenhouse gas emissions and cost”, Energy Policy, 51 (2012) 524-534.
Wu, J.K.J., Lei, H.L., Jung, S.T., and Chu, P., “Newton method for determining the optimal replenishment policy for EPQ model with present value”, Yugoslav Journal of Operations Research, 18 (2008) 53-61.
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