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AN OVERVIEW OF MATHTECH RESEARCH
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Aggregation in Transportation aggregation practices centroid complete network COMPUTATION RESULTS computational experiments constraints convex function convex program CONVEXITY BOUND correction steps cost defined demand matrix descent direction destination dual variables duality gap duality theory entire network equilibrium flows equilibrium traffic assignment extracted network extracted subnetwork Extraction Aggregation Model extreme points Figure Frank-Wolfe algorithm Frank-Wolfe method gap function Hearn heuristic HIGHWAY LINKS incidence matrix Lemma line search linear program lower bound master problem Maximum Flow Problems Minimax minimization Network Aggregation network flow network flow problem NETWORK FOR EXAMPLE nondifferentiability Nonlinear Programming Number Subnet Calls objective function objective value obtained optimal flows optimal solution original network outer network Paper Polyak pq pq pseudo-links RANDOM PROBLEM relative error Shirley Highway shortest path shortest path problems solving split node subgradient subnetwork trip table subproblem Subset Decomposition theorem traffic assignment problem Transfer Decomposition trip demands vector Vf(x zero