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Zbl 1069.90509
Yang, Hai; Meng, Qiang; Bell, Michael G. H.
Simultaneous estimation of the origin-destination matrices and travel-cost coefficient for congested networks in a stochastic user equilibrium. (English)
[J] Transp. Sci. 35, No. 2, 107-123 (2001). ISSN 0041-1655

Summary: This article proposes an optimization model for simultaneous estimation of an origin-destination matrix and a travel-cost coefficient for congested networks in a logitbased stochastic user equilibrium (SUE). The model is formulated in the form of a standard differentiable, nonlinear optimization problem with analytical stochastic user equilibrium constraints. Explicit expressions of the derivatives of the stochastic user equilibrium constraints with respect to origin-destination demand, link flow, and travel-cost coefficient are derived and computed efficiently through a stochastic network-loading approach. A successive quadratic-programming algorithm using the derivative information is applied to solve the simultaneous estimation model. This algorithm converges to a Karusch-Kuhn-Tucker point of the problem under certain conditions. The proposed model and algorithm are illustrated with a numerical example.

MSC 2000:: *90B10 Flows in networks
90B20 Highway traffic

Keywords: networks; stochastic user equilibrium; origin-destination (O-D) matrix; travel-cost

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