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EnglishThe aim of the paper is to suggest a sequential method for generating the set E of all efficient points of a bicriteria problem P B where the feasible region is a polytope and whose criteria are a linear function and a concave function which is the sum of a linear and the reciprocal of an affine function. The connectedness of E and some theoretical properties of P B allow to give a finite simplex-like algorithm based on a suitable post-optimality analysis carried on a scalar parametric problem where the linear criteria plays the role of a parametric constraint.
| Titolo: | A Sequential Method for a Class of Bicriteria Problems |
| Autori: | MARTEIN L; BERTOLUCCI V |
| Autori interni: | |
| Anno del prodotto: | 2006 |
| Abstract: | The aim of the paper is to suggest a sequential method for generating the set E of all efficient points of a bicriteria problem P B where the feasible region is a polytope and whose criteria are a linear function and a concave function which is the sum of a linear and the reciprocal of an affine function. The connectedness of E and some theoretical properties of P B allow to give a finite simplex-like algorithm based on a suitable post-optimality analysis carried on a scalar parametric problem where the linear criteria plays the role of a parametric constraint. |
| Digital Object Identifier (DOI): | 10.1007/978-3-540-37007-9_21 |
| Appare nelle tipologie: | 2.1 Contributo in volume (Capitolo o Saggio) |
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