Single-ratio and multi-ratio fractional programs in applications are often generalized convex programs. We begin with a survey of applications of single-ratio fractional programs, min-max fractional programs and sum-of-ratios fractional programs. Given the limited advances for the latter class...

Generalizations of the classical concept of a convex function have been proposed in various fields such as economics, management science, engineering, statistics and applied sciences during the second half of this century. In addition to new results in more established areas of generalized...

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...

This paper, which is presented in two parts, is a contribution to the theory of fractional programming, i.e., maximization of quotients subject to constraints. In Part I a duality theory for linear and concave-convex fractional programs is developed and related to recent results by Bector,...

“Market Coupling” is currently seen as the most advanced market design in the restructuring of the European electricity market. Market coupling, by construction, introduces what is generally referred to as an incomplete market: it leaves several constraints out of the market and hence avoids...

Il lavoro introduce la nozione di η-pseudolinearità. Dopo avere ottenuto alcune caratterizzazioni delle funzioni η-pseudolineari, si derivano caratterizzazioni dell'insieme delle soluzioni di un programma η-pseudolineare. Lo studio generalizza diversi risultati sulle funzioni e sui programmi...