Application of radial basis function and generalized regression neural networks in non-linear utility function specification for travel mode choice modelling

Application of soft computational methods, especially artificial neural networks, in examining individual traveller behaviour is not encountered frequently. In most of the relevant cited papers, the feed-forward back propagation neural network (FFBPNN) models or hybrid models of FFBPNNs are proposed. However the feed-forward back propagation algorithm has some drawbacks, which can easily lead the model to develop in an inaccurate direction. Throughout this study, two different algorithms, radial basis function neural network (RBFNN) and generalized regression neural network (GRNN), are employed to propose a new calibration process for travel mode choice analysis in a transportation modelling framework. The neural network methods are not applied directly to calibrate models but are used as a sub-process for alternative non-linear model specification on utility function. Results show both the surpassing of RBFNNs and GRNNs over frequently used FFBPNNs, and the superiority of neural network methods over a conventional statistical model, multivariate linear regression, during mode choice calibrations. Also having experienced the existence of a claim that ANNs can tackle the problem of travel choice modelling as well as, if not better than, the discrete choice approach [D.A. Hensher, T.T. Ton, A comparison of the predictive potential of artificial neural networks and nested logit models for commuter mode choice, Transp. Res., Part E Logist. Trans. Rev. 36 (3) (2000) 155-172], use of such soft computing tools in studying traveller behaviour should be an autonomous part of a calibration process.

[1]  Xin Li,et al.  Limitations of the approximation capabilities of neural networks with one hidden layer , 1996, Adv. Comput. Math..

[2]  E. Nadaraya On Non-Parametric Estimates of Density Functions and Regression Curves , 1965 .

[3]  Jooyoung Park,et al.  Universal Approximation Using Radial-Basis-Function Networks , 1991, Neural Computation.

[4]  Geoffrey E. Hinton,et al.  Learning internal representations by error propagation , 1986 .

[5]  E. Nadaraya On Estimating Regression , 1964 .

[6]  Donald F. Specht,et al.  A general regression neural network , 1991, IEEE Trans. Neural Networks.

[7]  George Cybenko,et al.  Approximation by superpositions of a sigmoidal function , 1992, Math. Control. Signals Syst..

[8]  Giulio Erberto Cantarella,et al.  Multilayer Feedforward Networks for Transportation Mode Choice Analysis: An Analysis and a Comparison with Random Utility Models , 2005 .

[9]  Uwe Helmke,et al.  Existence and uniqueness results for neural network approximations , 1995, IEEE Trans. Neural Networks.

[10]  Tarek Sayed,et al.  Comparison of Neural and Conventional Approaches to Mode Choice Analysis , 2000 .

[11]  F. Nold,et al.  The Determinants of Transport Mode Choice in Dutch Cities. , 1973 .

[12]  H. Mhaskar,et al.  Neural networks for localized approximation , 1994 .

[13]  A Reggiani,et al.  NEURAL NETWORKS AND LOGIT MODELS APPLIED TO COMMUTERS' MOBILITY IN THE METROPOLITAN AREA IN MILAN. IN: NEURAL NETWORKS IN TRANSPORT APPLICATIONS , 1998 .

[14]  K. Train,et al.  Joint mixed logit models of stated and revealed preferences for alternative-fuel vehicles , 1999, Controlling Automobile Air Pollution.

[15]  Uwe Hartmann,et al.  Mapping neural network derived from the parzen window estimator , 1992, Neural Networks.

[16]  Tomaso A. Poggio,et al.  Extensions of a Theory of Networks for Approximation and Learning , 1990, NIPS.

[17]  W. Greene,et al.  Specification and estimation of the nested logit model: alternative normalisations , 2002 .

[18]  Peter Nijkamp,et al.  Modelling inter-urban transport flows in Italy: A comparison between neural network analysis and logit analysis , 1996 .

[19]  Lawrence L. Kupper,et al.  Probability, statistics, and decision for civil engineers , 1970 .

[20]  Allan Pinkus,et al.  Multilayer Feedforward Networks with a Non-Polynomial Activation Function Can Approximate Any Function , 1991, Neural Networks.

[21]  Chandra R. Bhat,et al.  A MIXED SPATIALLY CORRELATED LOGIT MODEL: FORMULATION AND APPLICATION TO RESIDENTIAL CHOICE MODELING , 2004 .

[22]  James L. McClelland,et al.  Parallel distributed processing: explorations in the microstructure of cognition, vol. 1: foundations , 1986 .

[23]  Ilan Salomon,et al.  Neural network analysis of travel behavior : Evaluating tools for prediction , 1996 .

[24]  Chi Xie,et al.  WORK TRAVEL MODE CHOICE MODELING USING DATA MINING: DECISION TREES AND NEURAL NETWORKS , 2002 .

[25]  David A. Hensher,et al.  A comparison of the predictive potential of artificial neural networks and nested logit models for commuter mode choice , 1997 .

[26]  F. Koppelman,et al.  The paired combinatorial logit model: properties, estimation and application , 2000 .

[27]  Adib Kanafani,et al.  Transportation Demand Analysis , 1983 .

[28]  G. S. Watson,et al.  Smooth regression analysis , 1964 .

[29]  D. McFadden Quantitative Methods for Analyzing Travel Behaviour of Individuals: Some Recent Developments , 1977 .

[30]  K. Train,et al.  Mixed Logit with Repeated Choices: Households' Choices of Appliance Efficiency Level , 1998, Review of Economics and Statistics.

[31]  F. Girosi,et al.  Networks for approximation and learning , 1990, Proc. IEEE.

[32]  Haris N. Koutsopoulos,et al.  Modeling discrete choice behavior using concepts from fuzzy set theory, approximate reasoning and neural networks , 2003 .

[33]  Kurt Hornik,et al.  Multilayer feedforward networks are universal approximators , 1989, Neural Networks.