# Non-Convex Traffic Assignment on a Rectangular Grid Network

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Creation of a new link or increase in capacity of an existing link can reduce the efficiency of a congested network as measured by the total travel cost. This phenomenon, of which an extreme example is given by Braess paradox, has been examined in conventional studies within the framework of...

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The paper discusses ways to model the traffic assignment problem using mathematical tools. The focus is on the equivalence between optimality conditions for the traffic assignment problem and variational inequalities which can be associated with this problem. We discuss system and user...

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Until recently, analyses of the assignment problem have considered only restricted forms of the functions which relate the costs of travel to volumes of traffic. These analyses are not applicable to networks which include detailed models of either uncontrolled junctions or signal-control...

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A transportation network is a complex system that exhibits the properties of self-organization and emergence. Previous research in dynamics related to transportation networks focuses on traffic assignment or traffic management. This research concentrates on the dynamics of the orientation of...

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A variational inequality (VI) formulation of a mixed traffic assignment problem associated with user equilibrium (UE) player and altruistic players (UE-AP) is developed. The users governed by the UE player use the paths with minimum actual travel cost, while the users governed by altruistic...

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The notion of dynamic user equilibrium (DUE) and dynamic user optimum (DUO) were still treated interchangeably in the dynamic traffic assignment (DTA) literature until tolerance-based DUO was recently proposed as alternative definitions of DUO. The latter distinguishes DUO from DUE, and the...

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The article features the 56302, a first class 56 to work in Scotland. On August 29, 2004 when 56302 worked the 6Z56, 0614 Hexthorpe-Shetteston infrastructure trip and the class demise in that year. In addition, a photograph of the 56302 train heads north past the loops at Abington and Carstairs...