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• W123166913 abstract "The problem of adjusting (or estimating) an origin-destination (O-D) matrix by using observed flows on the links of a congested traffic network, which we denote DAP,is considered in this paper. After reviewing the previous contributions made in stating models and development solution algorithms for this problem, a nonlinear bilevel programming formulation is proposed to model the DAP. The existence of solutions is established under relatively mild assumptions on the link cost functions. The property of the continuous dependence of equilibrium link flows on the demand is demonstrated under a fairly weaker condition. By using the general bilevel programming theory, the DAP is reformulated as a single-level like optimization problem, where the marginal function of the lower level equilibrium problem is used explicitly in a constraint. The gradient function of the implicit marginal function is derived in terms of the link cost mapping and the link proportions in an equilibrium state. Necessary optimality conditions for the DAP are derived based on the gradient information of the marginal function, of which the significance and application for the DAP are discussed as well." @default.
• W123166913 created "2016-06-24" @default.
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• W123166913 date "1998-01-01" @default.
• W123166913 modified "2023-09-29" @default.
• W123166913 title "Congested O-D Trip Demand Adjustment Problem: Bilevel Programming Formulation and Optimality Conditions" @default.
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• W123166913 doi "https://doi.org/10.1007/978-1-4613-0307-7_1" @default.
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