Generalized Convexity and Fractional Programming with Economic Applications

Proceedings of the International Workshop on “Generalized Concavity, Fractional Programming and Economic Applications” Held at the University of Pisa, Italy, May 30 – June 1, 1988

AvAlberto Cambini,Erio Castagnoli

Häftad, Engelska, 1990

Del i serien Lecture Notes in Economics and Mathematical Systems

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Beskrivning

This volume contains invited articles and refereed contributions presented at an international workshop held at the University of Pisa in 1988. The subject of the book is generalizations of the classical concept of a convex function. Many of these generalizations are prompted by applications in economics. In addition, special types of generalized convex programmes, namely fractional programmes, are presented. The book is interdisciplinary, and brings together the most recent developments in these fields from mathematics, economics, operations research and management science. It presents the state of the art in the fields of generalized convexity and fractional programming.

Produktinformation

Utgivningsdatum:1990-07-10
Mått:155 x 235 x undefined mm
Vikt:569 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Economics and Mathematical Systems
Antal sidor:361
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540526735

Utforska kategorier

Tillämpad matematik inom Naturvetenskap och teknik

Innehållsförteckning

I. Generalized Convexity.- to generalized convexity.- Structural developments of concavity properties.- Projectively-convex models in economics.- Convex directional derivatives in optimization.- Differentiable (? , ?)-concave functions.- On the bicriteria maximization problem.- II. Fractional Programming.- Fractional programming — some recent results.- Recent results in disjunctive linear fractional programming.- An interval-type algorithm for generalized fractional programming.- A modified Kelley’s cutting plane algorithm for some special nonconvex problems.- Equivalence and parametric analysis in linear fractional programming.- Linear fractional and bicriteria linear fractional programs.- III. Duality and Conjugation.- Generalized conjugation and related topics.- On strongly convex and paraconvex dualities.- Generalized convexity and fractional optimization.- Duality in multiobjective fractional programming.- An approach to Lagrangian duality in vector optimization.- Rubinstein Duality Scheme for Vector Optimization.- IV. Applications of Generalized Convexity in Management Science and Economics.- Generalized convexity in economics: some examples.- Log-Convexity and Global Portfolio Immunization.- Improved analysis of the generalized convexity of a function in portfolio theory.- On some fractional programming models occurring in minimum-risk problems.- Quasi convex lower level problem and applications in two level optimization.- Problems of convex analysis in economic dynamical models.- Recent bounds in coding using programming techniques.- Logical aspects concerning Shephard’s axioms of production theory.- Contributing Authors.