A Sequential Method for a Class of Bicriteria Problems

Laura Martein () and Valerio Bertolucci ()
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Laura Martein: University of Pisa
Valerio Bertolucci: University of Pisa

A chapter in Generalized Convexity and Related Topics, 2007, pp 347-358 from Springer

Abstract: Summary 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.

Keywords: Fractional programming; pseudoconcavity; bicriteria problems; parametric optimization (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-540-37007-9_21

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DOI: 10.1007/978-3-540-37007-9_21

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