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Incorporating Ridesharing in the Static Traffic Assignment Model

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Abstract

This paper develops a combined mode choice and traffic assignment model that incorporates ridesharing as an option in a mode choice model, attempting to quantify the ridesharing market share in an equilibrium context. The mode choice model takes into account that the waiting time for a ride is dependent on the available drivers. The traffic assignment model is a static user equilibrium that interacts with the discrete choice model through level of service variables. An iterative algorithm was implemented and applied in a simple network and a more realistic network. The results indicate that the quantity of ride sharing drivers is a key parameter to the service success, and below a critical mass of drivers, it is unlikely that passengers will find the service valuable. It is also shown that ride sharing has the ability to reduce in-vehicle times for all the users, although passenger may suffer from longer door-to-door times, having to wait for their ride.

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References

  • Agatz N, Erera A, Savelsbergh M, Wang X (2010) Sustainable passenger transportation: dynamic ride-sharing. Tech. rep., Rotterdam School of Management, Erasmus University

  • Agatz NA, Erera AL, Savelsbergh MW, Wang X (2011) Dynamic ride-sharing: a simulation study in metro Atlanta. Transp Res B Methodol 45(9):1450–1464

    Article  Google Scholar 

  • Amey AM (2010) Real-time ridesharing: exploring the opportunities and challenges of designing a technology-based rideshare trial for the MIT community (Doctoral dissertation, Massachusetts Institute of Technology)

  • Bajwa S, Bekhor S, Kuwahara M, Chung E (2008) Discrete choice modeling of combined mode and departure time. Transportmetrica 4(2):155–177

    Article  Google Scholar 

  • Bekhor S, Toledo T, Prashker JN (2008) Effects of choice set size and route choice models on path-based traffic assignment. Transportmetrica 4(2):117–133

    Article  Google Scholar 

  • Bureau of Transportation Statistics (2010) Transportation Statistics Annual Report 2010. U.S. Department of Transportation, Research and Innovative Technology Administration

  • Cepeda M, Cominetti R, Florian M (2006) A frequency-based assignment model for congested transit networks with strict capacity constraints: characterization and computation of equilibria. Transp Res B Methodol 40(6):437–459

    Article  Google Scholar 

  • Chan ND, Shaheen SA (2012) Ridesharing in North America: past, present, and future. Transp Rev 32(1):93–112

    Article  Google Scholar 

  • Dafermos S (1980) Traffic equilibrium and variational inequalities. Transp Sci 14(1):42–54

    Article  Google Scholar 

  • Deakin E, Frick KT, Shively KM (2010) Markets for dynamic ridesharing? Transp Res Rec: J Transp Res Board 2187(1):131–137

    Article  Google Scholar 

  • Dueker KJ, Bair BO, Levin IP (1977) Ride-sharing: psychological factors. J Transp Eng 103(6):685–692

    Google Scholar 

  • Ferguson E (1997) The rise and fall of the american carpool: 1970–1990. Transportation 24(4):349–376

    Article  Google Scholar 

  • Florian M (1977) A traffic equilibrium model of travel by car and public transit modes. Transp Sci 11(2):166–179

    Article  Google Scholar 

  • Ghoseiri K, Haghani AE, Hamedi M (2011) Real-time rideshare matching problem. Mid-Atlantic Universities Transportation Center

  • Habib KMN, Tian Y, Zaman H (2011) Modelling commuting mode choice with explicit consideration of carpool in the choice set formation. Transportation 38(4):587–604

    Article  Google Scholar 

  • Hall RW, Qureshi A (1997) Dynamic ride-sharing: theory and practice. J Transp Eng 123(4):308–315

    Article  Google Scholar 

  • Horowitz AD, Sheth JN (1977) Ride sharing to work: an attitudinal analysis. Transp Res Rec 637:1–8

    Google Scholar 

  • Huang HJ, Yang H, Bell MG (2000) The models and economics of carpools. Ann Reg Sci 34(1):55–68

    Article  Google Scholar 

  • Kleiner A, Nebel B, Ziparo VA (2011) A mechanism for dynamic ride sharing based on parallel auctions. In: Proceedings of the Twenty-Second International Joint Conference on Artificial Intelligence (IJCAI), vol 11, p 266–272

  • Levofsky A, Greenberg A (2001) Organized dynamic ride sharing: the potential environmental benefits and the opportunity for advancing the concept. In: Transportation Research Board 2001 Annual Meeting

  • Li D, Miwa T, Morikawa T (2014) Considering en-route choices in utility-based route choice modelling. Netw Spat Econ 14:581–604

    Article  Google Scholar 

  • Magnanti TL, Perakis G (2004) Solving variational inequality and fixed point problems by line searches and potential optimization. Math Program 101(3):435–461

    Article  Google Scholar 

  • Nguyen S, Pallottino S (1988) Equilibrium traffic assignment for large scale transit networks. Eur J Oper Res 37(2):176–186

    Article  Google Scholar 

  • Patriksson M (2004) Algorithms for computing traffic equilibria. Netw Spat Econ 4:23–38

    Article  Google Scholar 

  • Peeta S, Ziliaskopoulos AK (2001) Foundations of dynamic traffic assignment: the past, the present and the future. Netw Spat Econ 1:233–265

    Article  Google Scholar 

  • Pisarski A (2006) Commuting in America III: the third national report on commuting patterns and trends (No. 550). Transportation Research Board

  • Schrank DL, Lomax TJ (2007) The 2007 urban mobility report. Texas Transportation Institute, Texas A & M University

  • Sheffi Y (1985) Urban transportation networks: equilibrium analysis with mathematical programming methods. Prentice-Hall, Englewood Cliffs

    Google Scholar 

  • Tsao HSJ, Lin DJ (1999) Spatial and temporal factors in estimating the potential of ride-sharing for demand reduction. California Partners for Advanced Transit and Highways (PATH)

  • Wu JH, Florian M, Marcotte P (1994) Transit equilibrium assignment: a model and solution algorithms. Transp Sci 28(3):193–203

    Article  Google Scholar 

  • Yang H, Bell MG (1997) Traffic restraint, road pricing and network equilibrium. Transp Res B Methodol 31(4):303–314

    Article  Google Scholar 

  • Yang H, Lau YW, Wong SC, Lo HK (2000) A macroscopic taxi model for passenger demand, taxi utilization and level of services. Transportation 27(3):317–340

    Article  Google Scholar 

Download references

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Correspondence to Shlomo Bekhor.

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Bahat, O., Bekhor, S. Incorporating Ridesharing in the Static Traffic Assignment Model. Netw Spat Econ 16, 1125–1149 (2016). https://doi.org/10.1007/s11067-015-9313-7

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