Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 190, Issue 2, Pages 1602-1611Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2007.02.041
Keywords
projected gradients; reserve capacity; signalized road network; equilibrium constraints; optimization
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For a signal control road network subject to equilibrium flows, the maximum possible increase in travel demands is considered in this paper. Using the concept of reserve capacity of signal-controlled junctions, the problem of finding the maximum increase in traffic demands can be formulated as a mathematical program with equilibrium constraints (MPEC). In this paper, we present a projected gradient approach to obtain the maximum increase in travel demands based on the TRANSYT traffic model. Numerical computations are made on a grid network where good results are obtained. (C) 2007 Elsevier Inc. All rights reserved.
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