Relative efficiency appraisal of discrete choice modeling algorithms using small-scale maximum likelihood estimator through empirically tailored computing environment |
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Authors: | Roh Hyuk-Jae Sahu Prasanta K Khan Ata M Sharma Satish |
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Affiliation: | 1.City of Regina, Regina, SK, S4P 3C8, Canada ;2.National Institute of Construction Management and Research, Pune, 411045, India ;3.Department of Civil and Environmental Engineering, Carleton University, Ottawa, ON, K1S 5B6, Canada ;4.Environmental Systems Engineering, University of Regina, Regina, SK, S4S 0A2, Canada ; |
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Abstract: | Discrete choice models are widely used in multiple sectors such as transportation, health, energy, and marketing, etc., where the model estimation is usually carried out by using commercial software. Nonetheless, tailored computer codes offer modellers greater flexibility and control of unique modelling situation. Aligned with empirically tailored computing environment, this research discusses the relative performance of six different algorithms of a discrete choice model using three key performance measures: convergence time, number of iterations, and iteration time. The computer codes are developed by using Visual Basic Application (VBA). Maximum likelihood function (MLF) is formulated and the mathematical relationships of gradient and Hessian matrix are analytically derived to carry out the estimation process. The estimated parameter values clearly suggest that convergence criterion and initial guessing of parameters are the two critical factors in determining the overall estimation performance of a custom-built discrete choice model. |
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