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Roger L. Tobin
Researcher at University of Pennsylvania
Publications - 27
Citations - 2399
Roger L. Tobin is an academic researcher from University of Pennsylvania. The author has contributed to research in topics: Facility location problem & Flow network. The author has an hindex of 20, co-authored 27 publications receiving 2314 citations. Previous affiliations of Roger L. Tobin include University of Chicago & Argonne National Laboratory.
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Dynamic network traffic assignment considered as a continuous time optimal control problem
TL;DR: It is established that a constraint qualification and convexity requirements for the Hamiltonian, which together ensure that the necessary conditions are also sufficient, are satisfied under commonly encountered regularity conditions.
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Equilibrium Decomposed Optimization: A Heuristic for the Continuous Equilibrium Network Design Problem
TL;DR: Numerical tests are reported which indicate that, for networks with significant congestion, the heuristic is markedly more efficient than the Hooke-Jeeves algorithm which has been employed previously.
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Sensitivity Analysis for Equilibrium Network Flow
Roger L. Tobin,Terry L. Friesz +1 more
TL;DR: This paper presents an approach for sensitivity analysis of equilibrium traffic assignment problems in which an equivalent restricted problem is developed which has the desired uniqueness properties and yields the desired sensitivity analysis results.
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The multiobjective equilibrium network design problem revisited: A simulated annealing approach
TL;DR: In this paper, the authors present a model for continuous multiobjective optimal design of a transportation network, which explicitly incorporates user equilibrium constraints and takes the form of a difficult nonlinear, nonconvex mathematical program.