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Registro Completo |
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Biblioteca(s): |
Embrapa Pantanal. |
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Data corrente: |
11/06/1996 |
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Data da última atualização: |
11/06/1996 |
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Autoria: |
IRWIN, C. L.; YANG, C. W. |
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Título: |
Iteration and sensitivity for a spatial equilibrium problem with linear supply and demand functions. |
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Ano de publicação: |
1982 |
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Fonte/Imprenta: |
Operations Research, v.30, n.2, p.319-335, Mar./Apr. 1982. |
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Idioma: |
Inglês |
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Conteúdo: |
We 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. |
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Palavras-Chave: |
Funcao de demanda; Iteration; Linear supply; Problema de equilibrio; Provisao linear; Repeticao; Sensibilidade; Sensitivity; Spatial equilibrium problem. |
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Thesaurus Nal: |
demand functions. |
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Categoria do assunto: |
-- |
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Marc: |
LEADER 01868naa a2200253 a 4500
001 1789182
005 1996-06-11
008 1982 bl --- 0-- u #d
100 1 $aIRWIN, C. L.
245 $aIteration and sensitivity for a spatial equilibrium problem with linear supply and demand functions.
260 $c1982
520 $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.
650 $ademand functions
653 $aFuncao de demanda
653 $aIteration
653 $aLinear supply
653 $aProblema de equilibrio
653 $aProvisao linear
653 $aRepeticao
653 $aSensibilidade
653 $aSensitivity
653 $aSpatial equilibrium problem
700 1 $aYANG, C. W.
773 $tOperations Research$gv.30, n.2, p.319-335, Mar./Apr. 1982.
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Registro original: |
Embrapa Pantanal (CPAP) |
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