01868naa a2200253 a 450000100080000000500110000800800410001910000170006024501050007726000090018252011420019165000210133365300220135465300140137665300180139065300270140865300200143565300140145565300180146965300160148765300320150370000160153577300630155117891821996-06-11       1982    bl ---       0--  u    #d1 aIRWIN, C. L.  aIteration and sensitivity for a spatial equilibrium problem with linear supply and demand functions.  c1982  aWe investigate a set of spatial equilibrium conditions which apply, for example, to a multiregional, multicommodity market or to a physical system of interconnecte sources and sinks. Under additional hypotheses, the equilibrium conditions are the Kuhn-Tucker conditions for a concave, quadratic programming problem. For the case in which the equilibrium conditions do not correspond to a programming problem, an interative process for obtaining a solution is discussed. This iteration is motivated by the Project Independence Evaluation System (PIES) energy model algorithm. An algorithmic method to determine the sensitivity of an equilibrium solution vector to data perturbations is described. Both the sensitivity analysis and the convergence of the iterative solution method are based upon a solvability lemma, which guarantees that a solution of the equilibrium conditions may be expressed in terms of the problem data. Nondegeneracy assumptions for the inter-regional flows are unnecessary for this discussion. An example of the equilibrium problem which arose in modeling the supply and demand of eatern coal is briefly described.  ademand functions  aFuncao de demanda  aIteration  aLinear supply  aProblema de equilibrio  aProvisao linear  aRepeticao  aSensibilidade  aSensitivity  aSpatial equilibrium problem1 aYANG, C. W.  tOperations Researchgv.30, n.2, p.319-335, Mar./Apr. 1982.