This paper presents a new algorithm for solving the static traffic assignment problem that operates in the space of path flows. The algorithm uses a sequential equilibration technique by which origin–destination (O-D) pairs are equilibrated one at a time iteratively. This slope-based multipath algorithm (SMPA) inherits some insights from the gradient projection (GP) algorithm of Jayakrishnan et al., Dial's Algorithm B, and the recent GP method of Florian et al. However, the flow update mechanism of the SMPA is new, with different search directions for paths with higher and lower costs than the average cost for an O-D pair. It uses the slopes of cost functions in such a way as to bring the costs of different paths closer and enable faster convergence. Further, it does not require a line search for finding the move size. Computational experiments using the Sioux Falls, South Dakota, and Borman Corridor, Indiana, networks provide insights into the SMPA and compare its performance relative to the GP algorithm of Florian et al. The results illustrate that the SMPA has a superior rate of convergence.
k------A tracking algorithm based on a measurement model of the multipath propagation effects on the elevation angle measurements is presented. This algorithm does not depend on the specirk signal processing and the prevailing environmental conditions. The results of simulations based on several scenarios are presented. The signal processing model used to generate the elevation measurements of a low-flying target with multipath effects is also described. This model incorporates a spherical Earth and f i i t e target range in the geometry of reflection. The algorithm clearly indicates when the measurements are degraded, in which case it automutically increases the variance of the altitude estimate. CORRESPONDENCE 913 CORRESPONDENCE
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