A Demand Estimator Based on a Nested Logit Model

A Demand Estimator Based on a Nested Logit Model

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Article ID: iaor20173332
Volume: 51
Issue: 3
Start Page Number: 918
End Page Number: 930
Publication Date: Aug 2017
Journal: Transportation Science
Authors:
Keywords: transportation: general, optimization
Abstract:

The importance of historical travel demand has been well recognized by transportation researchers and practitioners. This paper presents a new nonlinear demand estimator that can be applied in both ground and air transportation. The estimator is formulated such that the distribution of the estimated demand follows a nested logit model. To solve the demand estimator, we develop an exact solution algorithm, which maximizes its dual problem sequentially along unit directions and keeps some of the first‐order optimality conditions satisfied for the estimator. We investigate the convergence of the algorithm. We prove that all of the accumulation points produced by the solution algorithm satisfy some optimality conditions. A large example (a real U.S. network), which contains 66,767 origin‐destination pairs, is presented.

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