Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Beckman, M. J. and Golob, T. F. (1972), “Critique of Entropy and Gravity in Travel Forecasting”, Traffic Flow and Transportation, edited by G. F. Newell, New York: Elsevier, pp. 109–117.
Bellman, R. (1958), “On a Routing Problem,”, Quart. Appl. Math., XVI, 87–90.
Ben-Akiva, M. E. (1974), “Structure of Passenger Travel Demand Models”, Transportation Research Record, 526.
Ben-Akiva, M. E. and Lerman, S. R. (1985), Discrete Choice Analysis: Theory and Application to Travel Demand, Cambridge: MIT Press.
Ben-Akiva, M. E. and Bolduc, D. (1996), “Multinomial Probit with a Logit Kernel and a General Parametric Specification of the Covariance Structure”, presented at the 3rd International Choice Symposium.
Ben-Akiva, M. E. and M. Bierlaire, M. (1999), “Discrete Choice Methods and Their Applications to Short Term Travel Decisions”, in Handbook of Transportation Science, Chapter 2, Boston: Kluwer Academic Publishers.
Berman, B. R., Chinitz, B. and Hoover, E. M. (1961), Technical Supplement to the New York Metropolitan Regional Study, Cambrdge, MA: Harvard University Press.
Bierlaire, M., Lotan, T. and Toint, P. L. (1997), “On the Overspecification of of Multinomial and Nested Logit Models due to Alternative Specific Constants”, Transp. Sci. 31, 363–371.
Carey, M. (1986), “A Constraint Qualification for a Dynamic Traffic Assignment Model”, Trans. Sci., 20, 55–58.
Carey, M. (1987), “Optimal Time-Varying Flows on Congested Networks”, Oper. Res., 35, 58–69.
Cascetta, E. (1989). “A Stochastic Process Approach to the Analysis of Temporal Dynamics in Transportation Networks”, Transp. Res. 23B, 1–17.
Damm, D. (1983), “Theory and Empirical Results: A Comparison of Recent Activity-Based Research”, in Recent Advances in Travel Demand Analysis, edited by S. Carpenter and P. Jones, London: Gower.
Dijkstra, E. W. (1959), “A Note on Two Problems in Connection with Graphs”, Numer. Math. 1, 269–271.
Florian, M. and Hearn, D. (1999), “Network Equilibrium and Pricing”, in Handbook of Transportation Science, edited by R. W. Hall, Boston: Kluwer Academic Publishers, pp. 361–393.
Ford, L. R. and Fulkerson, D. R. (1962), Flow in Networks, Princeton: Princeton University Press.
Friesz, T. L., Bernstein, D., Smith, T. E., Tobin, M. L. and Wie, B. W. (1993), “A Variational Inequality Formulation of the Dynamic Network User Equilibrium Problem”, Oper. Res., 4, 179–191.
Gazis, D. C. (1974), “Modeling and Optimal Control of Congested Transportation Systems”, Networks, 4,113–124.
Gazis, D. C. and Herman, R. (1992), “The Moving and ‘Phantom’ Bottlenecks”, Transp. Science, 26, No.3, 223–229.
Gazis, D, C. (1995), “Congestion Abatement in ITS through Centralized Route Allocation”, IVHS Journal, 2, 139–158.
Gazis, D. C. (1998), PASHAs: Advanced Intelligent Agents in the Service of Electronic Commerce, in The Future of the Electronic Marketplace, edited by D. Leebaert, MIT Press, 145–171.
Gumbel, E. J. (1958), Statistics of Extremes, New York: Columbia University Press.
Hansen, W. G. (1960), “Land Use Forecasting for Transportation Planning”, Highway Research Board Bulletin, 253, 145–151.
Helly, W. (1969), “A Time-Dependent Intervening Opportunity Land Use Model”, Socio-Economic Planning Sci., 3, 65–73.
Helly, W. (1974), “Traffic Generation, Distribution, and Assignment”, Traffic Science, edited by D. C. Gazis, New York: John Wiley & Sons, Chapter 4.
Hirsh, M, Prashkea, J. N. and Ben-Akiva, M. (1986), “Dynamic Model of Weekly Activity Pattern”, Transp. Sci., 20, 24–36.
Ho, J. K. (1980), “A Successive Linear Optimization Approach to the Dynamic Traffic Assignment Problem”, Trans. Sci., 14, 295–305.
Jones, P. (1983), “The Practical Application of Activity Based Approaches in Transport Planning: An Assessment”, in Recent Advances in Travel Demand Analysis, edited by S. Carpenter and P. Jones, London: Gower.
Luce, R. (1959), Individual Choice Behavior: A Theoretical Analysis, New York: J. Wiley and Sons.
McFadden, D. (1978), “Modeling the Choice of Residual Location”, in Spatial Interaction Theory and Residential Location, Amsterdam: North Holland, pp. 75–96.
McFadden, D. (1989), “A Method of Simulated Moments for Estimation of Discrete Response Models Without Numerical Integration”, Econometrica, 57, 995–1026.
Merchant, D. K. (1974), A Study of Dynamic Traffic Assignment and Control, PhD Dissertation. Cornell Univ.
Merchant, D. K. and Nemhauser, G. L. (1978a), “A Model and an Algorithm for the Dynamic Traffic Assignment Problem”, Trans. Sci., 12, 163–199.
Merchant, D. K. and Nemhauser, G. L. (1978b), “Optimality Conditions for a Dynamic Traffic Assignment Problem” Trans. Sci., 12, 200–207.
Murchand, J. D. (1969), “Bibliography of the Shortest Route Problem”, London Business Studies Report, LBS-TNT-6.2.
Pas, E. I. (1982), “Analytically-Derived Classification of Daily Travel-Activity Behavior: Description, Evaluation and Interpolation”, Transp. Res. Board.
Potts, R. B. and Oliver, R. M. (1972), Flows in Transportation Networks, New York: Academic.
Putman, S. H. (1966), “Analytic Models fr Implementing the Economic Impact Studies for the Northeast Corridor Transportation Project”, 30th National Meeting, Operations Research Society of America.
Ruiter, E. R. (1967). “Improvements in Understanding, Calibrating, and Applying the Opportunity Model”, Highway Res. Rec., 165, 1–21.
Schneider, M. (1960), Chicago Area Transportation Study, Vol. 2, 1960.
Sherratt, G. G. (1960), “A Model for General Urban Growth”, Management Sciences-Models and Techniques, New York: Pergamon, Vol. 2, pp.147–159.
Stopher, P. R., Meyburg, A. H. and Brog, W., editors, (1979), Proc. of the 4 th Intern. Conf. On Behavioral Travel Modeling, Grainau, Germany.
Stouffer, S. A. (1940), “Intervening Opportunities”, Amer. Sociological Rev., 5, 845–867.
Swerdloff, C. N. and Stowers, J. R. (1966), “A Test of Some First Generation Residential Land Use Models”, 45th Highway Research Board Meeting, Washington, DC.
Tversky, A. (1972), “Elimination by Aspects: A Theory of Choice”, Psychological Review, 79, 281–299.
Voorhees, A. M. (1955), “A General Theory of Traffic Movement”, Proc. Inst. Traffic Engrs, 46–56.
Wardrop, J. G. (1952), “Some Theoretical Aspects of Road Traffic Research”, Proc. Inst. Civil Engineers, Part II, 325–378.
Wilson, A. G. (1967), “A Statistical Theory of Spatial Distribution Models”, Transport. Res., 1, 253–269.
Yagar, S. (1970), Analysis of the Peak Period Travel in a Freeway-Arterial Network, PhD Dissertation, Univ. of California, Berkeley.
Yagar, S. (1971), “Dynamic Traffic Assignment by Individual Path Minimization and Queueing”, Trans. Res., 5, 170–196.
Wie, B. W. (1991), “Traffic Assignment, Dynamic”, in Concise Encyclopedia of Traffic & Transportation Systems, edited by M. Papageorgiou, Oxford: Pergamon Press, pp. 521–524.
Wu, J. H., Chen, Y. and Florian, M. (1997a), “The Continuous Dynamic Network Loading Problem: A Mathematical Formulation and Solution Method”, Transp. Res. 32B, 173–187.
Xu, Y., Wu, J. H., Florian, M., Marcotte, P. and Zhu, D. L. (2002), “Advances in the Continuous Dynamic Network Loading Problem”, Transp. Sci., (in press).
Additional references
Aashtiani, H. Z. and Magnanti, T. L. (1981), “Equilibria in a Congested Transportation Network”, SIAM J. of Algebraic and Discrete Methods, 2, 213–226.
Arezki, Y. and Van Vliet, D. (1990), “A Full Analytical Implementation of the PARTAN/Frank-Wolfe Algorithm for Equilibrium Assignment”, Transp. Sci., 24, 58–62.
Beckmann, M. J. and Golob, T. F. (1972), “A Critique of Entropy and Gravity in Travel Forecasting”, Traffic Flow and Transportation, edited by G. F. Newell, New York: Elsevier, pp.109–117.
Dafermos, S. (1972), “The Traffic Assignment Model for Multi-Class Transportation Network”, Tramp. Sci, 6, 73–87.
Dafermos, S. and A. Nagurney, A. (1984), “Sensitivity Analysis for the Asymmetric Network Equilibrium Problem”, Math. Programming, 28, 174–184.
Dow, P. and Van Vliet, D. (1979), “Capacity Restrained Road Assignment”, Traffic Eng. and Control, 261–273.
Evans, S. P. (1976), “Derivation and Analysis of Some Models for Combining Trip Distribution and Assignment”, Transp. Res., 10, 37–57.
Florian, M. and Nguyen, S. (1976), “An Application and Validation of Equilibrium Trip Assignment Methods”, Transp. Sci., 10, 379–389.
Florian, M. and Spiess, H. (1983), “On Binary Mode Choice/Assignment Models”, Transp. Sci., 17, 32–47.
Florian, M., Guelat, Y. and Spiess, H. (1987), “An Efficient Implementation of the PARTAN variant of the Linear Approximation for the Network Equilibrium Problem”, Networks, 17, 319–339.
Florian, M. and Hearn, D. (1995), “Network Equilibrium Models and Algorithms”, Chapter 6 in Handbook in OR and MS, Vol. 8, M. Ball et al, editors, pp.485–550.
Fratar, T. J. (1954), “Forecasting Distribution of Interzonal Vehicular Trips by Successive Approximations”, Proc. Highway Res. Brd., 33, 376–385.
Friedrich, P. (1956), “Die Variationsrechnung als Planungsverfahren der Stadt und Landesplanung”, Schriften der Akademie fur Raumforschung und Landesplanung, Brenen-Horn: Walter Dorn, Vol. 32.
Hall, M, (1978), “Properties of the Equilibrium State in Transportation Networks”, Transp. Sci., 12, 208–216.
Hamburg, J. R. and Sharkey, R. H. (1961) “Land Use Forecast”, Chicago Area Transportation Study, Chicago, 3.2.6.10.
Harmann, F. V. (1964), Population Forecasting Methods, Washington, DC: Bureau of Public Roads.
Harris, B. (1962), “Linear Programming and the Projection of Land Users”, Penn-Jersey Transportation Study, PJ paper No. 20.
Helly, W. (1965), “Efficiency in Road Traffic Flow”, Proc. 2 nd Intern, Symp. on Theory of Traffic Flow, Paris: OECD, pp. 264–275.
Herbert, J. D. and B. H. Stevens, B. H. (1960), “A Model for the Distribution of Residential Activity in Urban reas”, J. Regional Sci. Assoc.
Hoshino, T. (1972), “Theory of Traffic Assignment to a Road Network”, Traffic Flow and Transportation, edited by G. F. Newell, New York: Elsevier, pp. 195–214.
Knight, F. H. (1981), “Some Fallacies in the Interpretation of Social Costs”, Quarterly J. of Economics, 38, 306–312.
Lan, T. and Newell, G. F. (1967), “Flow Dependent Traffic Assignment in a Circular City”, Transp. Sci., 1, No. 4, 318–361.
Leblanc, L. J., Morlok, E. K. and Pierskalla, W. P. (1975), “An Efficient Approach to Solving the Road Network Equilibrium Traffic Assignment Problem”, Transp. Sci., 5, 309–318.
Nguyen, S. (1976), “A Unified Approach to Equilibrium Methods for Traffic Assignment”, in Traffic Equilibrium Methods, Proceedings 1974, edited by M. Florian, vol. 118. Lecture notes in Economics and Mathematical Systems, New York: Springer Verlag, pp. 148–182.
Papageorgiou, M. (1990), “Dynamic Modeling, Assignment, and Route Guidance in Traffic Networks”, Transp. Res., 24B, 471–495.
Patriksson, P. (1983), The Traffic Assignment Problem: Models and Methods, VNU Science Press, p. 223.
Powell, W. B. and Sheffi, Y. (1982), “The Convergence of Equilibrium Algorithms with Predetermined Step Sizes”, Transp. Sci., 16, 45–55.
Sheffi, Y. and Powell, W. B. (1982), “An Algorithm for the Equilibrium Assignment Problem with Random Link Times”, Networks, 12, 191–207.
Smeed, R. J. (1961), The Traffic Problem in Towns, Manchester: Manchester Statistical Society.
Smith, M. J. (1979), “Existence, Uniqueness and Stability of Traffic Equilibria”, Transp. Res., 13B, 295–304.
Smith, M. J. (1993), “A New Dynamic Traffic Model and the Existence and Calculation of Dynamic User Equilibria On Congested Capacity Constrained Road Network”, Transp. Res., 27B, 49–63.
Swerdloff, C. N. and Stowers, J. R. (1966), “A Test of Some First Generation Residential Land Use Models”, 5 th Highway Res. Brd. Meeting, Washington, DC.
U. S. Department of Commerce, Bureau of Public Roads, Traffic Assignment Manual, Washington, DC, 1964.
U. S. Department of Commerce, Bureau of Public Roads, Highway Capacity Manual, Washington, DC, 1965.
Voorhees, A. M. (1955), “A General Theory of Traffic Movement”, Proc. Inst. Traffic Engrs., 46–56.
Wie, B., Tobin, R., Bernstein, R. and Friesz, T. (1995), “Comparison of System Optimum and User Equilibrium Dynamic Traffic Assignment with Schedule Delays”, Transp. Res., 3C, 389–411.
Rights and permissions
Copyright information
© 2002 Kluwer Academic Publishers
About this chapter
Cite this chapter
(2002). Traffic Generation, Distribution, and Assignment. In: Traffic Theory. International Series in Operations Research & Management Science, vol 50. Springer, Boston, MA. https://doi.org/10.1007/0-306-48217-7_4
Download citation
DOI: https://doi.org/10.1007/0-306-48217-7_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4020-7095-2
Online ISBN: 978-0-306-48217-5
eBook Packages: Springer Book Archive