Modeling the modal split and trip scheduling with commuters’ uncertainty expectation. (English) Zbl 1346.90183
Summary: This paper investigates the modal split and trip scheduling decisions with consideration of the commuters’ uncertainty expectation in the morning commute problem. Two physically separated modes for transportation, the auto mode on highway and the transit mode on subway, are available for commuters to choose for traveling from home to workplace. The travel time uncertainty is assumed to only occur on highway. Every commuter is faced with the joint choice of transport mode and trip scheduling for minimizing her/his generalized travel cost. The study reveals that uncertainty expectation can significantly influence the travel decisions and lead to a distinctive flow pattern. We also examine the effects of transit headway and fare on modal split and equilibrium cost by numerical examples.
MSC:
| 90B06 | Transportation, logistics and supply chain management |
| 90B20 | Traffic problems in operations research |
| 90B35 | Deterministic scheduling theory in operations research |
References:
| [1] | Arnott, R.; de Palma, A.; Lindsey, R., Economics of a bottleneck, Journal of Urban Economics, 27, 1, 111-130 (1990) |
| [2] | Brownstone, D.; Small, K. A., Valuing time and reliability: Assessing the evidence from road pricing demonstrations, Transportation Research Part A, 39, 4, 279-293 (2005) |
| [3] | Danielis, R.; Marcucci, E., Bottleneck road congestion pricing with a competing railroad service, Transportation Research Part E, 38, 5, 379-388 (2002) |
| [4] | de Palma, A.; Fosgerau, M., Random queues and risk averse users, European Journal of Operational Research, 230, 2, 313-320 (2013) · Zbl 1317.90091 |
| [5] | Fosgerau, M.; Karlstrom, A., The value of reliability, Transportation Research Part B, 43, 8-9, 813-820 (2010) |
| [6] | Gonzales, E. J.; Daganzo, C. F., Morning commute with competing modes and distributed demand: User equilibrium, system optimum and pricing, Transportation Research Part B, 46, 10, 1519-1534 (2012) |
| [7] | Habib, K. M.N., Modeling commuting mode choice jointly with work start time and work duration, Transportation Research Part A, 46, 1, 33-47 (2012) |
| [8] | Huang, H. J., Fares and tolls in a competitive system with transit and highway: The case with two groups of commuters, Transportation Research Part E, 36, 4, 267-284 (2000) |
| [9] | Huang, H. J., Pricing and logit-based mode choice models of a transit and highway system with elastic demand, European Journal of Operational Research, 140, 3, 562-570 (2002) · Zbl 0998.90017 |
| [10] | Huang, H. J.; Tian, Q.; Yang, H.; Gao, Z. Y., Modal split and commuting pattern on a bottleneck-constrained highway, Transportation Research Part E, 43, 5, 578-590 (2007) |
| [11] | Huang, H. J.; Yang, H., Optimal utilization of a transport system with auto/transit parallel modes, Optimal Control Applications and Methods, 20, 6, 297-313 (1999) |
| [12] | Kraus, M., A new look at the two-mode problem, Journal of Urban Economics, 54, 3, 511-530 (2003) |
| [13] | Lindsey, R., Existence, uniqueness, and trip cost function properties of user equilibrium in the bottleneck model with multiple user classes, Transportation Science, 38, 3, 293-314 (2004) |
| [14] | Lo, H. K.; Luo, X. W.; Siu, B. W.Y., Degradable transport network: Travel time budget of travelers with heterogeneous risk aversion, Transportation Research Part B, 40, 9, 792-806 (2006) |
| [15] | Mirabel, F.; Reymond, M., Bottleneck congestion pricing and modal split: Redistribution of toll revenue, Transportation Research Part A, 45, 1, 18-30 (2010) |
| [16] | Noland, R. B.; Small, K. A., Travel time uncertainty, departure time choice and the cost of the morning commute, Transportation Research Record, 1493, 150-158 (1995) |
| [17] | Noland, R. B.; Polak, J. W., Travel time variability: A review of theoretical and empirical issues, Transport Reviews, 22, 1, 39-54 (2002) |
| [18] | Siu, B. W.Y.; Lo, H. K., Equilibrium trip scheduling in congested traffic under uncertainty, Proceedings of the 18th international symposium on transportation and traffic theory, 19-38 (2009), Elsevier Science: Elsevier Science Oxford |
| [19] | Siu, B. W.Y.; Lo, H. K., Doubly uncertain transportation network: Degradable capacity and stochastic demand, European Journal of Operational Research, 191, 1, 166-181 (2008) · Zbl 1146.90359 |
| [20] | Small, K. A., Trip scheduling in urban transportation analysis, American Economic Review, 82, 2, 482-486 (1992) |
| [21] | Sunitiyoso, Y.; Matsumoto, S., Modeling a social dilemma of mode choice based on commuters’ expectations and social learning, European Journal of Operational Research, 193, 3, 904-914 (2009) · Zbl 1279.91067 |
| [22] | Tabuchi, T., Bottleneck congestion and modal split, Journal of Urban Economics, 34, 3, 414-431 (1993) |
| [23] | Tian, L. J.; Yang, H.; Huang, H. J., Tradable credit schemes for managing bottleneck congestion and modal split with heterogeneous users, Transportation Research Part E, 54, 1-13 (2013) |
| [24] | van den Berg, V.; Verhoef, E. T., Congestion tolling in the bottleneck model with heterogeneous values of time, Transportation Research Part B, 45, 1, 60-78 (2011) |
| [25] | Vickrey, W. S., Congestion theory and transport investment, American Economic Review, 59, 2, 251-260 (1969) |
| [26] | Wu, D.; Yin, Y. F.; Lawphongpanich, S., Pareto-improving congestion pricing on multimodal transportation networks, European Journal of Operational Research, 210, 3, 660-669 (2011) · Zbl 1213.90068 |
| [27] | Xiao, F.; Qian, Z.; Zhang, H. M., The morning commute problem with coarse toll and nonidentical commuters, Networks and Spatial Economics, 11, 2, 343-369 (2011) · Zbl 1213.90069 |
| [28] | Zhang, X. N.; Yang, H.; Huang, H. J.; Zhang, H. M., Integrated scheduling of daily work activities and morning-evening commutes with bottleneck congestion, Transportation Research Part A, 39, 1, 41-60 (2005) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
