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2014 Solving Signal Control Problems with Second-Order Sensitivity Information of Equilibrium Network Flows
Hsun-Jung Cho, You-Heng Huang
J. Appl. Math. 2014: 1-12 (2014). DOI: 10.1155/2014/947190

Abstract

The equilibrium network signal control problem is represented as a Stackelberg game. Due to the characteristics of a Stackelberg game, solving the upper-level problem and lower-level problem iteratively cannot be expected to converge to the solution. The reaction function of the lower-level problem is the key information to solve a Stackelberg game. Usually, the reaction function is approximated by the network sensitivity information. This paper firstly presents the general form of the second-order sensitivity formula for equilibrium network flows. The second-order sensitivity information can be applied to the second-order reaction function to solve the network signal control problem efficiently. Finally, this paper also demonstrates two numerical examples that show the computation of second-order sensitivity and the speed of convergence of the nonlinear approximation algorithm.

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Hsun-Jung Cho. You-Heng Huang. "Solving Signal Control Problems with Second-Order Sensitivity Information of Equilibrium Network Flows." J. Appl. Math. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/947190

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07132004
MathSciNet: MR3212522
Digital Object Identifier: 10.1155/2014/947190

Rights: Copyright © 2014 Hindawi

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