A HYBRID ALGORITHM FOR THE SOLUTION OF A SINGLE COMMODITY SPATIAL EQUILIBRIUM-MODEL

Citation
L. Portugal et J. Judice, A HYBRID ALGORITHM FOR THE SOLUTION OF A SINGLE COMMODITY SPATIAL EQUILIBRIUM-MODEL, Computers & operations research, 23(7), 1996, pp. 623-639
Citations number
27
Categorie Soggetti
Operatione Research & Management Science","Operatione Research & Management Science","Computer Science Interdisciplinary Applications","Engineering, Industrial
ISSN journal
03050548
Volume
23
Issue
7
Year of publication
1996
Pages
623 - 639
Database
ISI
SICI code
0305-0548(1996)23:7<623:AHAFTS>2.0.ZU;2-Y
Abstract
In this paper we propose a hybrid algorithm for the solution of a larg e-scale single commodity spatial equilibrium model. This model can be stated as a Linear Complementarity Problem (LCP) with a singular Symme tric Positive Semi-Definite (SPSD) matrix whose structure is closely r elated to the network structure of the model. The hybrid scheme is a c ombination of Predictor-Corrector (PC) and Parametric Principal Pivoti ng (PPP) algorithms and its implementation takes full advantage of the structure of the matrix of the LCP. We report computational experienc e on the solution of large-scale spatial equilibrium problems with up to 1000 regions that shows the great efficiency of the approach discus sed in this paper. Copyright (C) 1996 Elsevier Science Ltd