Journal of Regional Science · 1987 · 89 citations · 20 references
Natural SciencesEconomicsMathematicsOptimizationPricing TheorySpatial ModelingGeneral EquilibriumSpatial EquilibriumVariational InequalitiesEquilibrium ProblemsSpatial Equilibrium ModelingSpatial Price EquilibriumSpatial PricingVariational Inequality ProblemsVariational Inequality Theory
ABSTRACT. In this paper we propose new algorithms for the solution of both general and standard spatial price equilibrium problems, and test their performance with existing algorithms on randomly generated problems. For the standard problem, we propose decomposition schemes based on the concept of “equilibration operator” and compare their performance with the Frank‐Wolfe method. For the general problem, we present alternative variational inequality formulations defined over Cartesian products of sets and then exploit these formulations to construct Gauss‐Seidel‐type serial decomposition methods. We then compare their performance with the projection method. Our computational tests suggest that the new schemes are substantially more efficient than earlier ones.
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Traffic Equilibrium and Variational Inequalities
Stella Dafermos · Transportation Science · 1980 · 935 citations
An iterative scheme for variational inequalities
Stella Dafermos · Mathematical Programming · 1983 · 280 citations
Computing, Mathematics, Algorithms +11