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- W626314181 abstract "Gradient projection (GP) algorithm has been shown as an efficient algorithm for solving the traditional traffic equilibrium problem with additive route costs. Recently, Scott and Bernstein (1) extended it for solving the nonadditive traffic equilibrium problem (NaTEP), in which the cost incurred on each route is not just a simple sum of the link costs on that route. However, choosing an appropriate stepsize, which is not known a priori, is a critical issue in GP for solving NaTEP. Inappropriate selection of the stepsize can significantly increase the computational burden, or even deteriorate the convergence. In this paper, various strategies for choosing a suitable stepsize are discussed, and a self-adaptive gradient projection (SAGP) algorithm is presented, which has the ability to automatically adjust the stepsize according to the information derived from previous iterations. Furthermore, the SAGP algorithm still maintains the efficient flow update strategy that only requires a simple projection onto the nonnegative orthant. Numerical results are provided to illustrate the efficiency and robustness of the algorithm." @default.
- W626314181 created "2016-06-24" @default.
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- W626314181 date "2006-01-01" @default.
- W626314181 modified "2023-09-23" @default.
- W626314181 title "Self-Adaptive Gradient Projection Algorithm for Solving Nonadditive Traffic Equilibrium Problem" @default.
- W626314181 hasPublicationYear "2006" @default.
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