scholarly journals Massively parallel computation of large-scale spatial price equilibrium models with discriminatory ad valorem tariffs

1996 ◽  
Vol 68 (2) ◽  
pp. 281-300 ◽  
Author(s):  
Anna Nagurney ◽  
Charles F. Nicholson ◽  
Phillip M. Bishop ◽  
Phillip M. Bishop
Keyword(s):  
Parallel Computation ◽  
Large Scale ◽  
Massively Parallel ◽  
Price Equilibrium ◽  
Equilibrium Models ◽  
Spatial Price Equilibrium ◽  
Spatial Price ◽  
Ad Valorem

Estimation of Spatial Price Equilibrium Models

1958 ◽  
Vol 40 (4) ◽  
pp. 801 ◽  
Author(s):  
G. G. Judge ◽  
T. D. Wallace
Keyword(s):  
Price Equilibrium ◽  
Equilibrium Models ◽  
Spatial Price Equilibrium ◽  
Spatial Price

An Algorithm for the Solution of a Quadratic Programming Problem, with Application to Constrained Matrix and Spatial Price Equilibrium Problems

1989 ◽  
Vol 21 (1) ◽  
pp. 99-114 ◽  
Author(s):  
A Nagurney ◽  
Referee H K Chen
Keyword(s):  
Quadratic Programming ◽  
Programming Problem ◽  
Large Scale ◽  
Equilibrium Problems ◽  
Quadratic Programming Problem ◽  
Price Equilibrium ◽  
Spatial Price Equilibrium ◽  
Special Cases ◽  
Spatial Price ◽  
Matrix Problems

In this paper a quadratic programming problem is considered. It contains, as special cases, formulations of constrained matrix problems with unknown row and column totals, and classical spatial price equilibrium problems with congestion. An equilibration algorithm, which is of the relaxation type, is introduced into the problem. It resolves the system into subproblems, which in turn, can be solved exactly, even in the presence of upper bounds. Also provided is computational experience for several large-scale examples. This work identifies the equivalency between constrained matrix problems and spatial price equilibrium problems which had been postulated, but, heretofore, not made.

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