2006Gongcheng shuxue xuebaoRequires access

Equilibrium Problems for Dynamic Traffic Network with Additional Path Flow Constraints

Xiaoceng Wu, Bin-Quan Fan

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Abstract

We considered the problem of dynamic traffic network equilibrium with additional path flow constraints, which the path flows are defined in a abstract space. The additional constraints are treated as new adding road costs and variational inequalities expression for the Wardrop user equilibrium are given. Basing upon the results, we can develop a new equilibrium algorithm for the traffic flows. Moreover, the capacity constraints, which is more closed to the reality, are also considered.

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What this paper is about

We considered the problem of dynamic traffic network equilibrium with additional path flow constraints, which the path flows are defined in a abstract space. The additional constraints are treated as new adding road costs and variational inequalities expression for the Wardrop user equilibrium are given. Basing upon the results, we can develop a new equilibrium algorithm for the traffic flows. Moreover, the capacity constraints, which is more closed to the reality, are also considered.

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Available abstract

We considered the problem of dynamic traffic network equilibrium with additional path flow constraints, which the path flows are defined in a abstract space. The additional constraints are treated as new adding road costs and variational inequalities expression for the Wardrop user equilibrium are given. Basing upon the results, we can develop a new equilibrium algorithm for the traffic flows. Moreover, the capacity constraints, which is more closed to the reality, are also considered.

Key concepts: Variational inequality, Path (computing), Mathematical optimization, Traffic network, Flow network, Traffic flow (computer networking), Expression (computer science), Mathematics

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