Skip to main content
Erschienen in: Transportation 5/2017

05.05.2016

Indifference bands for boundedly rational route switching

verfasst von: Xuan Di, Henry X. Liu, Shanjiang Zhu, David M. Levinson

Erschienen in: Transportation | Ausgabe 5/2017

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The replacement I-35W bridge in Minneapolis saw less traffic than the original bridge though it provided substantial travel time saving for many travelers. This observation cannot be explained by the classical route choice assumption that travelers always take the shortest path. Accordingly, a boundedly rational route switching model is proposed assuming that travelers will not switch to the new bridge unless travel time saving goes beyond a threshold or “indifference band”. Indifference bands are assumed to follow lognormal distribution and are estimated in two specifications: the first one assumes every driver’s indifference band is drawn from a population indifference band and the second one assumes that the mean of drivers’ indifference bands is a function of their own characteristics. Route choices of 78 subjects from a GPS travel behavior study were analyzed before and after the addition of the new I-35W bridge to estimate parameters. This study provides insights into empirical analysis of bounded rationality and sheds light on indifference band estimation using empirical data.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
Zurück zum Zitat Bekhor, S., Ben-Akiva, M.E., Ramming, M.S.: Evaluation of choice set generation algorithms for route choice models. Ann. Oper. Res. 144(1), 235–247 (2006)CrossRef Bekhor, S., Ben-Akiva, M.E., Ramming, M.S.: Evaluation of choice set generation algorithms for route choice models. Ann. Oper. Res. 144(1), 235–247 (2006)CrossRef
Zurück zum Zitat Ben-Akiva, M., Boccara, B.: Discrete choice models with latent choice sets. Int. J. Res. Mark. 12(1), 9–24 (1995)CrossRef Ben-Akiva, M., Boccara, B.: Discrete choice models with latent choice sets. Int. J. Res. Mark. 12(1), 9–24 (1995)CrossRef
Zurück zum Zitat Ben-Akiva, M., Bolduc, D.: Multinomial probit with a logit kernel and a general parametric specification of the covariance structure. D’epartement d’economique, Universit’e laval with Department of Civil and Environmental Engineering, Massachusetts Institute of Technology (1996) Ben-Akiva, M., Bolduc, D.: Multinomial probit with a logit kernel and a general parametric specification of the covariance structure. D’epartement d’economique, Universit’e laval with Department of Civil and Environmental Engineering, Massachusetts Institute of Technology (1996)
Zurück zum Zitat Ben-Akiva, M., Ramming, S.: Lecture notes: discrete choice models of traveler behavior in networks. Prepared for Advanced Methods for Planning and Management of Transportation Networks, Capri, Italy, 25 (1998a) Ben-Akiva, M., Ramming, S.: Lecture notes: discrete choice models of traveler behavior in networks. Prepared for Advanced Methods for Planning and Management of Transportation Networks, Capri, Italy, 25 (1998a)
Zurück zum Zitat Cantillo, V., Heydecker, B., de Dios Ortúzar, J.: A discrete choice model incorporating thresholds for perception in attribute values. Transp. Res. Part B 40(9), 807–825 (2006)CrossRef Cantillo, V., Heydecker, B., de Dios Ortúzar, J.: A discrete choice model incorporating thresholds for perception in attribute values. Transp. Res. Part B 40(9), 807–825 (2006)CrossRef
Zurück zum Zitat Cantillo, V., Ortúzar, J.D.D., Williams, J.: Modeling discrete choices in the presence of inertia and serial correlation. Transp. Sci. 41(2), 195–205 (2007)CrossRef Cantillo, V., Ortúzar, J.D.D., Williams, J.: Modeling discrete choices in the presence of inertia and serial correlation. Transp. Sci. 41(2), 195–205 (2007)CrossRef
Zurück zum Zitat Carrion, C., Levinson, D. Route choice dynamics after a link restoration. In: Presented at Transportation Research Board Annual Meeting, Washington (2012) Carrion, C., Levinson, D. Route choice dynamics after a link restoration. In: Presented at Transportation Research Board Annual Meeting, Washington (2012)
Zurück zum Zitat Cascetta, E.: A stochastic process approach to the analysis of temporal dynamics in transportation networks. Transp. Res. Part B 23(1), 1–17 (1989)CrossRef Cascetta, E.: A stochastic process approach to the analysis of temporal dynamics in transportation networks. Transp. Res. Part B 23(1), 1–17 (1989)CrossRef
Zurück zum Zitat 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: Proceedings of the 13th international symposium on transportation and traffic theory. pp. 697–711 (1996) 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: Proceedings of the 13th international symposium on transportation and traffic theory. pp. 697–711 (1996)
Zurück zum Zitat Clark, A.J.: The mode of action of drugs on cells (1933) Clark, A.J.: The mode of action of drugs on cells (1933)
Zurück zum Zitat Cox, C.: Threshold dose-response models in toxicology. Biometrics 43, 511–523 (1987)CrossRef Cox, C.: Threshold dose-response models in toxicology. Biometrics 43, 511–523 (1987)CrossRef
Zurück zum Zitat Daganzo, C.F., Bouthelier, F., Sheffi, Y.: Multinomial probit and qualitative choice: a computationally efficient algorithm. Trans. Sci. 11(4), 338–358 (1977)CrossRef Daganzo, C.F., Bouthelier, F., Sheffi, Y.: Multinomial probit and qualitative choice: a computationally efficient algorithm. Trans. Sci. 11(4), 338–358 (1977)CrossRef
Zurück zum Zitat Danczyk, A., Di, X., Liu, H., Levinson, D.: Unexpected cause, unexpected effect: Empirical observations of twin cities traffic behavior after the I-35W Bridge collapse and reopening. Transp. Policy (2015) (submitted) Danczyk, A., Di, X., Liu, H., Levinson, D.: Unexpected cause, unexpected effect: Empirical observations of twin cities traffic behavior after the I-35W Bridge collapse and reopening. Transp. Policy (2015) (submitted)
Zurück zum Zitat Di, X., He, X., Guo, X., Liu, H.X.: Braess paradox under the boundedly rational user equilibria. Transp. Res. Part B 67, 86–108 (2014b)CrossRef Di, X., He, X., Guo, X., Liu, H.X.: Braess paradox under the boundedly rational user equilibria. Transp. Res. Part B 67, 86–108 (2014b)CrossRef
Zurück zum Zitat Di, X., Liu, H.X.: Boundedly rational route choice behavior: a review of models and methodologies. Transp. Res. Part B 85, 142–179 (2016)CrossRef Di, X., Liu, H.X.: Boundedly rational route choice behavior: a review of models and methodologies. Transp. Res. Part B 85, 142–179 (2016)CrossRef
Zurück zum Zitat Di, X., Liu, H.X., Ban, X.J.: Second best toll pricing within the framework of bounded rationality. Transp. Res. Part B 83, 74–90 (2016)CrossRef Di, X., Liu, H.X., Ban, X.J.: Second best toll pricing within the framework of bounded rationality. Transp. Res. Part B 83, 74–90 (2016)CrossRef
Zurück zum Zitat Di, X., Liu, H.X., Pang, J.-S., Ban, X.J.: Boundedly rational user equilibria (BRUE): mathematical formulation and solution sets. Transp. Res. Part B 57, 300–313 (2013)CrossRef Di, X., Liu, H.X., Pang, J.-S., Ban, X.J.: Boundedly rational user equilibria (BRUE): mathematical formulation and solution sets. Transp. Res. Part B 57, 300–313 (2013)CrossRef
Zurück zum Zitat Di, X., Liu, H.X., Pang, B., Jeff, X., Yu, Jeong, Whon.: On the stability of a boundedly rational day-to-day dynamic. Netw. Spat. Econ. 15(3), 537–557 (2015)CrossRef Di, X., Liu, H.X., Pang, B., Jeff, X., Yu, Jeong, Whon.: On the stability of a boundedly rational day-to-day dynamic. Netw. Spat. Econ. 15(3), 537–557 (2015)CrossRef
Zurück zum Zitat Di, X.: Boundedly rational user equilibrium: models and applications. Ph.D. thesis, University of Minnesota (2014a) Di, X.: Boundedly rational user equilibrium: models and applications. Ph.D. thesis, University of Minnesota (2014a)
Zurück zum Zitat Guilford, J.P.: Psychometric Methods (1954) Guilford, J.P.: Psychometric Methods (1954)
Zurück zum Zitat Guo, X., Liu, H.X.: Bounded rationality and irreversible network change. Transp. Res. Part B 45(10), 1606–1618 (2011)CrossRef Guo, X., Liu, H.X.: Bounded rationality and irreversible network change. Transp. Res. Part B 45(10), 1606–1618 (2011)CrossRef
Zurück zum Zitat Hemmingsen, A.M.: The accuracy of insulin assay on white mice. Q. J. Pharm. Pharmacol. 6, 39–80 (1933) Hemmingsen, A.M.: The accuracy of insulin assay on white mice. Q. J. Pharm. Pharmacol. 6, 39–80 (1933)
Zurück zum Zitat Hosmer, Jr., David, W., Lemeshow, S., Sturdivant, R.X., vol. 398. Wiley, New York Hosmer, Jr., David, W., Lemeshow, S., Sturdivant, R.X., vol. 398. Wiley, New York
Zurück zum Zitat Hu, T.Y., Mahmassani, H.S.: Day-to-day evolution of network flows under real-time information and reactive signal control. Transp. Res. Part C 5(1), 51–69 (1997)CrossRef Hu, T.Y., Mahmassani, H.S.: Day-to-day evolution of network flows under real-time information and reactive signal control. Transp. Res. Part C 5(1), 51–69 (1997)CrossRef
Zurück zum Zitat Jan, O., Horowitz, A.J., Peng, Z.-R.: Using global positioning system data to understand variations in path choice. Transp. Res. Rec. 1725(1), 37–44 (2000)CrossRef Jan, O., Horowitz, A.J., Peng, Z.-R.: Using global positioning system data to understand variations in path choice. Transp. Res. Rec. 1725(1), 37–44 (2000)CrossRef
Zurück zum Zitat Jayakrishnan, R., Mahmassani, H.S., Hu, T.Y.: An evaluation tool for advanced traffic information and management systems in urban networks. Transp. Res. Part C 2(3), 129–147 (1994)CrossRef Jayakrishnan, R., Mahmassani, H.S., Hu, T.Y.: An evaluation tool for advanced traffic information and management systems in urban networks. Transp. Res. Part C 2(3), 129–147 (1994)CrossRef
Zurück zum Zitat Jha, M., Madanat, S., Peeta, S.: Perception updating and day-to-day travel choice dynamics in traffic networks with information provision. Transp. Res. Part C 6(3), 189–212 (1998)CrossRef Jha, M., Madanat, S., Peeta, S.: Perception updating and day-to-day travel choice dynamics in traffic networks with information provision. Transp. Res. Part C 6(3), 189–212 (1998)CrossRef
Zurück zum Zitat Jotisankasa, A., Polak, J.W.: Framework for travel time learning and behavioral adaptation in route and departure time choice. Transp. Res. Rec. 1985(1), 231–240 (2006)CrossRef Jotisankasa, A., Polak, J.W.: Framework for travel time learning and behavioral adaptation in route and departure time choice. Transp. Res. Rec. 1985(1), 231–240 (2006)CrossRef
Zurück zum Zitat Kaplan, S., Shiftan, Y., Bekhor, S.: Development and estimation of a semi-compensatory model with a flexible error structure. Transp. Res. Part B: Methodol. 46(2), 291–304 (2012)CrossRef Kaplan, S., Shiftan, Y., Bekhor, S.: Development and estimation of a semi-compensatory model with a flexible error structure. Transp. Res. Part B: Methodol. 46(2), 291–304 (2012)CrossRef
Zurück zum Zitat Kaplan, S., Shiftan, Y., Bekhor, S.: Development and estimation of a semi-compensatory model incorporating multinomial and ordered-response thresholds. pp. 11–15 (2010) Kaplan, S., Shiftan, Y., Bekhor, S.: Development and estimation of a semi-compensatory model incorporating multinomial and ordered-response thresholds. pp. 11–15 (2010)
Zurück zum Zitat Krishnan, K.S.: Incorporating thresholds of indifference in probabilistic choice models. Manag. Sci. 23(11), 1224–1233 (1977)CrossRef Krishnan, K.S.: Incorporating thresholds of indifference in probabilistic choice models. Manag. Sci. 23(11), 1224–1233 (1977)CrossRef
Zurück zum Zitat Levinson, D., Zhu, S.: The hierarchy of roads, the locality of traffic, and governance. Transp. Policy 19(1), 147–154 (2012)CrossRef Levinson, D., Zhu, S.: The hierarchy of roads, the locality of traffic, and governance. Transp. Policy 19(1), 147–154 (2012)CrossRef
Zurück zum Zitat Lioukas, S.K.: Thresholds and transitivity in stochastic consumer choice: a multinomial logit analysis. Manag. Sci. 30(1), 110–122 (1984)CrossRef Lioukas, S.K.: Thresholds and transitivity in stochastic consumer choice: a multinomial logit analysis. Manag. Sci. 30(1), 110–122 (1984)CrossRef
Zurück zum Zitat Mahmassani, H.S., Chang, G.L.: On boundedly rational user equilibrium in transportation systems. Transp. Sci. 21(2), 89–99 (1987)CrossRef Mahmassani, H.S., Chang, G.L.: On boundedly rational user equilibrium in transportation systems. Transp. Sci. 21(2), 89–99 (1987)CrossRef
Zurück zum Zitat Mahmassani, H.S., Jayakrishnan, R.: System performance and user response under real-time information in a congested traffic corridor. Transp. Res. Part A 25(5), 293–307 (1991)CrossRef Mahmassani, H.S., Jayakrishnan, R.: System performance and user response under real-time information in a congested traffic corridor. Transp. Res. Part A 25(5), 293–307 (1991)CrossRef
Zurück zum Zitat Mahmassani, H.S., Jou, R.C.: Transferring insights into commuter behavior dynamics from laboratory experiments to field surveys. Transp. Res. Part A 34(4), 243–260 (2000) Mahmassani, H.S., Jou, R.C.: Transferring insights into commuter behavior dynamics from laboratory experiments to field surveys. Transp. Res. Part A 34(4), 243–260 (2000)
Zurück zum Zitat Mahmassani, H.S., Liu, Y.H.: Dynamics of commuting decision behaviour under advanced traveller information systems. Transp. Res. Part C 7(2–3), 91–107 (1999)CrossRef Mahmassani, H.S., Liu, Y.H.: Dynamics of commuting decision behaviour under advanced traveller information systems. Transp. Res. Part C 7(2–3), 91–107 (1999)CrossRef
Zurück zum Zitat Martínez, F., Aguila, F., Hurtubia, R.: The constrained multinomial logit: a semi-compensatory choice model. Transp. Res. Part B 43(3), 365–377 (2009)CrossRef Martínez, F., Aguila, F., Hurtubia, R.: The constrained multinomial logit: a semi-compensatory choice model. Transp. Res. Part B 43(3), 365–377 (2009)CrossRef
Zurück zum Zitat Morikawa, T., Miwa, T., Kurauchi, S., Yamamoto, T., Kobayashi, K.: Driver’s route choice behavior and its implications on network simulation and traffic assignment. Simulation Approaches in Transportation Analysis, pp. 341–369 (2005) Morikawa, T., Miwa, T., Kurauchi, S., Yamamoto, T., Kobayashi, K.: Driver’s route choice behavior and its implications on network simulation and traffic assignment. Simulation Approaches in Transportation Analysis, pp. 341–369 (2005)
Zurück zum Zitat Prato, C., Bekhor, S.: Applying branch-and-bound technique to route choice set generation. Transp. Res. Rec. 1985(1), 19–28 (2006)CrossRef Prato, C., Bekhor, S.: Applying branch-and-bound technique to route choice set generation. Transp. Res. Rec. 1985(1), 19–28 (2006)CrossRef
Zurück zum Zitat Ramming, M.S.: Network knowledge and route choice. Ph.D. thesis, Institute of Technology, MA (2001a) Ramming, M.S.: Network knowledge and route choice. Ph.D. thesis, Institute of Technology, MA (2001a)
Zurück zum Zitat Rasouli, S., Timmermans, H.: Models of bounded rationality under certainty, p. 1. Bounded Rational Choice Behaviour, Applications in Transport (2015) Rasouli, S., Timmermans, H.: Models of bounded rationality under certainty, p. 1. Bounded Rational Choice Behaviour, Applications in Transport (2015)
Zurück zum Zitat Recker, W.W., Golob, T.F.: A non-compensatory model of transportation behavior based on sequential consideration of attributes. Transp. Res. Part B 13(4), 269–280 (1979)CrossRef Recker, W.W., Golob, T.F.: A non-compensatory model of transportation behavior based on sequential consideration of attributes. Transp. Res. Part B 13(4), 269–280 (1979)CrossRef
Zurück zum Zitat Ridwan, M.: Fuzzy preference based traffic assignment problem. Transp. Res. Part C 12(3), 209–233 (2004)CrossRef Ridwan, M.: Fuzzy preference based traffic assignment problem. Transp. Res. Part C 12(3), 209–233 (2004)CrossRef
Zurück zum Zitat Simon, H.A.: A behavioral model of rational choice. Q. J. Econ. 69(1), 99–118 (1955)CrossRef Simon, H.A.: A behavioral model of rational choice. Q. J. Econ. 69(1), 99–118 (1955)CrossRef
Zurück zum Zitat Simon, H.A.: Models of man: social and rational; mathematical essays on rational human behavior in a social setting (1957) Simon, H.A.: Models of man: social and rational; mathematical essays on rational human behavior in a social setting (1957)
Zurück zum Zitat Srinivasan, K.K., Mahmassani, H.S.: Role of congestion and information in trip-makers’ dynamic decision processes: experimental investigation. Transp. Res. Rec. 1676(1), 44–52 (1999)CrossRef Srinivasan, K.K., Mahmassani, H.S.: Role of congestion and information in trip-makers’ dynamic decision processes: experimental investigation. Transp. Res. Rec. 1676(1), 44–52 (1999)CrossRef
Zurück zum Zitat Swait, J.: A non-compensatory choice model incorporating attribute cutoffs. Transp. Res. Part B 35(10), 903–928 (2001b)CrossRef Swait, J.: A non-compensatory choice model incorporating attribute cutoffs. Transp. Res. Part B 35(10), 903–928 (2001b)CrossRef
Zurück zum Zitat Swait, J., Ben-Akiva, M.: Incorporating random constraints in discrete models of choice set generation. Transp. Res. Part B 21(2), 91–102 (1987)CrossRef Swait, J., Ben-Akiva, M.: Incorporating random constraints in discrete models of choice set generation. Transp. Res. Part B 21(2), 91–102 (1987)CrossRef
Zurück zum Zitat Tang, W., Levinson, D.: An empirical study of the deviation between actual and shortest travel time paths. In: Presented at the Transportation Research Board Conference, January 2016, Washington (2015) Tang, W., Levinson, D.: An empirical study of the deviation between actual and shortest travel time paths. In: Presented at the Transportation Research Board Conference, January 2016, Washington (2015)
Zurück zum Zitat Vovsha, P., Bekhor, S.: Link-nested logit model of route choice: overcoming route overlapping problem. Transp. Res. Rec. 1645(1), 133–142 (1998b)CrossRef Vovsha, P., Bekhor, S.: Link-nested logit model of route choice: overcoming route overlapping problem. Transp. Res. Rec. 1645(1), 133–142 (1998b)CrossRef
Zurück zum Zitat Yanmaz-Tuzel, O., Ozbay, K.: Modeling learning impacts on day-to-day travel choice. In: Transportation and Traffic Theory. pp. 387–401 (2009) Yanmaz-Tuzel, O., Ozbay, K.: Modeling learning impacts on day-to-day travel choice. In: Transportation and Traffic Theory. pp. 387–401 (2009)
Zurück zum Zitat Zhu, S.: Do people use the shortest path? an empirical test of wardrops first principle. PLoS One 10(8), e0134322 (2015)CrossRef Zhu, S.: Do people use the shortest path? an empirical test of wardrops first principle. PLoS One 10(8), e0134322 (2015)CrossRef
Zurück zum Zitat Zhu, S., Levinson, D., Liu, H.X., Harder, K.: The traffic and behavioral effects of the I-35W Mississippi River bridge collapse. Transp. Res. Part A 44(10), 771–784 (2010) Zhu, S., Levinson, D., Liu, H.X., Harder, K.: The traffic and behavioral effects of the I-35W Mississippi River bridge collapse. Transp. Res. Part A 44(10), 771–784 (2010)
Zurück zum Zitat Zhu, S.: The roads taken: theory and evidence on route choice in the wake of the I-35W Mississippi River bridge collapse and reconstruction. Ph.D. thesis, University of Minnesota (2011) Zhu, S.: The roads taken: theory and evidence on route choice in the wake of the I-35W Mississippi River bridge collapse and reconstruction. Ph.D. thesis, University of Minnesota (2011)
Zurück zum Zitat Zhu, S., Levinson, D.M., Disruptions to transportation networks: a review. In: Network Reliability in Practice. pp. 5–20 (2012) Zhu, S., Levinson, D.M., Disruptions to transportation networks: a review. In: Network Reliability in Practice. pp. 5–20 (2012)
Metadaten
Titel
Indifference bands for boundedly rational route switching
verfasst von
Xuan Di
Henry X. Liu
Shanjiang Zhu
David M. Levinson
Publikationsdatum
05.05.2016
Verlag
Springer US
Erschienen in
Transportation / Ausgabe 5/2017
Print ISSN: 0049-4488
Elektronische ISSN: 1572-9435
DOI
https://doi.org/10.1007/s11116-016-9699-1

Weitere Artikel der Ausgabe 5/2017

Transportation 5/2017 Zur Ausgabe

    Premium Partner