Abstract
In this paper, we incorporate activity-based trip chaining behavior into the network equilibrium analysis. An integrated model which combines Beckman-type congestion link terms and entropy-type logit demand terms is proposed to describe the traveler behavior. The convexity and equivalency conditions of the model are discussed. Based on the integrated model, a bi-level model is designed to maximize the social welfare by appropriate parking fee. Also, an expanded network is developed to eliminate the non-additivity of the utilities of activities and travelling in the original network. Then, the Simulated Annealing (SA) method is used to solve the proposed bi-level model. Numerical examples are presented to examine the model’s availability and effects of the parking fee scheme on traveler behavior and social welfare. Results show that the model is effective in describing the trip chaining behavior in the network.
Similar content being viewed by others
References
Anderson, S.P., Palma, A.D.: The economics of on-street parking: road congestion and driver search number. JEL. Classificaiton: R41, H23, D62 (2002)
Antipova, A., Wang, F.H.: Land use impacts on trip-chaining propensity for workers and non-workers in Baton Rouge, Louisiana. Ann. GIS 16(3), 141–154 (2010)
Arnott, R., Inci, E.: An integrated model of downtown parking and traffic congestion. J. Unban Econ. 60, 418–442 (2006)
Bard, J.F.: Some properties of the bilevel programming. J. Optim. Theory Appl. 68, 371–378 (1991)
Beckmann, M., McGuire, C.B., Winsten, C.B.: Studies in the Economics of Transportation, Cowles Commission Monograph. Yale University Press, New Haven (1956)
Bekhor, S., Ben-Akiva, M., Ramming, S.: Adaptation of logit kernel to route choice situation. Transp. Res. Rec. 1805, 78–85 (2002)
Bell, M.G.H.: A game theory approach to measuring the performance reliability of transport networks. Transp. Res. B 34(6), 533–545 (2000)
Ben-Ayed, O., Blair, O.: Computational difficulty of bi-level linear programming. Oper. Res. 38, 556–560 (1990)
Ben-Akiva, M., Bierlaire, M.: Discrete choice methods and their applications to short term travel decisions. In: Hall, R.W. (ed.) Handbook of Transportation Science, pp. 5–34. Kluwer Publishers, Norwell (1999)
Bentley, G., Bruce, A., Jones, D.: Intra-urban Journeys and Activity Linkages. Soc. Econ. Plan. Sci. 11, 213–220 (1977)
Bhat, C.R.: An analysis of evening commutes stop-making behavior using repeated choice observations from a multi-day survey. Transp. Res. B 33(6), 495–510 (1999)
Bhat, C.R., Misra, R.: Discretionary activity time allocation of individuals between in-home and out-of-home and between weekdays and weekends. Transportation 26(2), 193–209 (1999)
Bhat, C.R., Singh, S.K.: A comprehensive daily activity-travel generation model system for workers. Transp. Res. A 34(1), 1–22 (2000)
Bonsall, P., Young, W.: Is there a case for replacing parking charges by road user charges? Transp. Policy 17(5), 323–334 (2010)
Brunow, S., Gründer, M.: The impact of activity chaining on the duration of daily activities. Transportation 40, 981–1001 (2013)
Button, K.: The political economy of parking charges in ‘first’ and ‘second-best’ worlds. Transp. Policy 13(6), 470–478 (2006)
Cascetta, E., Nuzzolo, A., Russo, F., Vitetta, A.: A modified logit route choice model overcoming path overlapping problems: specification and some calibration results for interurban networks. In: Lesort, J.B. (ed.) Proceedings of the International Symposium on Transportation and Traffic Theory, Lyon, France, pp. 697–711. Pergman, Oxford (1996)
Chapin, J.: Human Activity Patterns in the City. Wiley, New York (1974)
Chu, Y.: Empirical analysis of commute stop-making behavior. Transp. Res. Rec. 1831, 106–113 (2003)
Currie, G., Delbosc, A.: Exploring the trip chaining behavior of public transport users in Melbourne. Transp. Policy 18, 204–210 (2011)
Cullen, I., Godson, V.: Urban Networks: The Structure of Activily Patterns. Pergamon Press, Oxford (1975)
Daganzo, C.F., Sheffi, Y.: On stochastic models of traffic assignment. Transp. Sci. 11(3), 253–274 (1977)
Dekkers, A., Aarts, E.: Global optimization and simulated annealing. Math. Program. 50, 367–393 (1991)
Dial, R.B.: A probabilistic multipath traffic assignment model which obviates path enumeration. Transp. Res. 5, 83–111 (1971)
Evans, S.P.: A relationship between the gravity model for trip distribution and the transportation problem in linear programming. Transp. Res. 7, 39–61 (1973)
Friesz, T.L., Bernstein, D., Smith, T.E., Tobin, R.L., Wie, B.W.: A variational inequality formulation of the dynamic network user equilibrium problem. Oper. Res. 41(1), 179–191 (1993)
Friesz, T.L., Tobin, R.L., Cho, H.J., Mehta, N.J.: Sensitivity analysis based heuristic algorithms for mathematical programs with variational inequality constraints. Math. Program. 48, 265–284 (1990)
Fu, X., Lam, W.H.K.: A network equilibrium approach for modelling activity travel pattern scheduling problems in multi-modal transit networks with uncertainty. Transportation 41, 37–55 (2014)
Gao, Z.Y., Song, Y.F.: A reserve capacity model of optimal signal control with user-equilibrium route choice. Transp. Res. B 36(4), 313–323 (2002)
Glazer, A., Niskanen, E.: Parking fees and congestion. Reg. Sci. Urban Econ. 22(2), 123–132 (1992)
Golob, T.F.: A simultaneous model of household activity participation and trip chain generation. Transp. Res. B 34(5), 355–376 (2000)
Hamdouch, Y., Marcotte, P., Nguyen, S.A.: A strategic model for dynamic traffic assignment. Netw. Spat. Econ. 4(3), 291–315 (2004)
Harding, C., Miller, E.J., Patterson, Z., Axhausen, K.W.: Multiple purpose tours and efficient trip chaining: an analysis of the effects of land use and transit on travel behavior in Switzerland. Transp. Res. Rec. 15, 4551 (2015)
Hess, D.B. The effect of free parking on commuter mode choice: evidence from travel diary data. In: The 80th Annual TRB Meeting (2001)
Higuchi, T., Shimamoto, H., Uno, N., Shiomi, Y.: A trip-chain based combined mode and route choice network equilibrium model considering common lines problem in transit assignment model. Procedia Soc. Behav. Sci. 20, 354–363 (2011)
Hine, J., Kamruzzaman, M., Blair, N.: Weekly activity-travel behaviour in rural Northern Ireland: differences by context and socio-demographic. Transportation 39(1), 175–195 (2012)
Islam, M.T., Habib, K.M.N.: Unraveling the relationship between trip chaining and mode choice: evidence from a multi-week travel diary. Transp. Plan. Technol. 35(4), 409–426 (2012)
Jang, T.Y.: Causal relationship among travel mode, activity, and travel patterns. J. Transp. Eng. 1, 16–22 (2003)
Joh, C.H., Arentze, T., Timmermans, H.: Activity-travel scheduling and rescheduling decision processes -empirical estimation of aurora model. Transp. Res. Rec. 1898, 10–18 (2004)
Kuppam, A.R., Pendyala, R.M.: A structural equations analysis of commuters’ activity and travel patterns. Transportation 28, 33–54 (2001)
Lee, Y., Hickman, M., Washington, S.: Household type and structure, time-use pattern, and trip-chaining behavior. Transp. Res. A 41, 1004–1020 (2007)
Lo, H., Yip, C., Wan, K.: Modeling transfer and non-linear fare structure in multi-modal network. Transp. Res. B 37(2), 149–170 (2003)
Lu, X.L., Pas, E.I.: Socio-demographics, activity participation, and travel behavior. Transp. Res. A 33(1), 1–18 (1999)
MacLennan, C.: Parking and traffic demand, the policy background, In: TRL Parking Seminar and Parking Control in the 90 s, pp. 125–128 (1993)
Ma, J., Mitchell, G., Heppenstall, A.: Daily travel behaviour in Beijing, China: an analysis of workers’ trip chains, and the role of socio-demographics and urban form. Habitat Int. 43, 263–273 (2014)
Marsden, G.: The evidence base for parking policies—a review. Transp. Policy 13(6), 2006 (2006)
Maruyama, T., Harata, N.: Incorporating trip-chaining behavior into network equilibrium analysis. Transp. Res. Rec. 1921, 11–18 (2005)
Maruyama, T., Sumalee, A.: Efficiency and equity comparison of cordon- and area-based road pricing schemes using a trip-chain equilibrium model. Transp. Res. A 41, 655–671 (2007)
Meng, Q., Yang, H.: Benefit distribution and equity in road network design. Transp. Res. B 36, 19–35 (2002)
Ottosson, D., Chen, C., Wang, T., Lin, H.: The sensitivity of on-street parking demand in response to price charge: a case study in Seattle, WA. Transp. Policy. 25, 222–232 (2013)
Paleti, R., Vovsha, P., Vyas, G., Anderson, R., Giaimo, R.: Activity sequencing, location, and formation of individual non-mandatory tours: application to the activity-based models for Columbus, Cincinnati, and Cleveland OH. Transportation 44, 615–640 (2017)
Prashker, J.N., Bekhor, S.: Investigation of stochastic network loading procedures. Transp. Res. Rec. 1645, 94–102 (1998)
Pravinvongvuth, S., Chen, A.: Adaptation of the paired combinatorial logit model to the route choice problem. Transportmetrica 1(3), 223–240 (2005)
Romeijin, H.E., Smith, R.L.: Simulated annealing for constrained global optimization. J. Glob. Optimum. 5, 101–126 (1994)
Roth, G.J.: Paying for Parking. The institute of Economic Affairs, London (1965)
Scheiner, J., Holz-Rau, C.: Women’s complex daily lives: a gendered look at trip chaining and activity pattern entropy in Germany. Transportation 44, 117–138 (2017)
Schmöcker, J.D., Su, F., Noland, R.B.: An analysis of trip chaining among older London residents. Transportation 37(1), 105–123 (2010)
Scott, D.M., Kanaroglou, P.S.: An activity-episode generation model that captures interactions between household heads: development and empirical analysis. Transp. Res. B 36(10), 875–896 (2002)
Sheffi, Y.: Urban transportation networks-equilibrium analysis with mathematical programming methods. Prentice-hall, Englewood Cliffs (1985)
Shiftan, Y.: Practical approach to model trip chaining. Transp. Res. Rec. 1645, 17–23 (1998)
Shoup, D.: The trouble with minimum parking requirements. Transp. Res. A 8(2), 115–124 (1999)
Small, K.A., Rosen, H.S.: Applied welfare economics with discrete choice models. Econometrica 49, 105–130 (1981)
Timmermans, H., Arentze, T., Joh, C.H.: Modeling effects of anticipated time pressure on execution of activity programs. Transp. Res. Rec. 1752, 8–15 (2001)
Wallace, B., Barnes, J., Rutherford, G.S.: Evaluating the effects of traveler and trip characteristics on trip chaining, with implications for transportation demand management strategies. Transp. Res. Rec. 1718, 97–106 (2000)
Wardrop, J.G.: Some theoretical aspects of road traffic research. Proc. Inst. Civil Eng. II 1, 325–378 (1952)
Williams, H.C.W.L.: On the formation of travel demand models and economic evaluation measures of user benefits. Environ. Plan. A 9, 285–344 (1977)
Yamamoto, T., Kitamura, R.: An analysis of time allocation to in-home and out-of-home discretionary activities across working days and non-working days. Transportation 26(2), 211–230 (1999)
Yang, H.: System optimum, stochastic user system optimum, stochastic user. Transp. Sci. 33(4), 354–360 (1999)
Yang, H., Zhang, X.N.: Multiclass network toll design problem with social and spatial equity constraints. J. Transp. Eng. 128, 420–428 (2002)
Yu, X., Chuan, J.: Research on the interdependencies between commute mode choice and trip chaining behavior. In: The 20th International Conference on Management Science and Engineering, pp. 2042–2046 (2013)
Zhao, J.B., Wang, J., Deng, W.: Exploring bike-sharing travel time and trip chain by gender and day of the week. Transp. Res. C 58, 251–264 (2015)
Zhou, Z., Chen, A., Bekhor, S.: C-logit stochastic user equilibrium model: formulations and solution algorithm. Transportmetrica 8(1), 17–41 (2012)
Acknowledgements
The authors would like to thank the two anonymous reviewers for the constructive comments and suggestions. This paper is partly supported by the NSFC (71621001) and the China National Funds for Distinguished Young Scientists (71525002).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
On behalf of all authors, the corresponding author states that there is no conflict of interest.
Rights and permissions
About this article
Cite this article
Gao, G., Sun, H. & Wu, J. Activity-based trip chaining behavior analysis in the network under the parking fee scheme. Transportation 46, 647–669 (2019). https://doi.org/10.1007/s11116-017-9809-8
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11116-017-9809-8