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grams of which the objective is given by the ratio of a convex by a positive (over a convex domain) concave function. As observed by Sniedovich (Ref. [102, 103]) most of the properties of fractional proÂ grams could be found in other programs, given that the objective function could be written as a particular composition of functions. He called this new field CÂ programming, standing for composite concave programming. In his seminal book on dynamic programming (Ref. ), Sniedovich shows how the study of such comÂ positions can help tackling non-separable dynamic programs that otherwise would defeat solution. Barros and Frenk (Ref. ) developed a cutting plane algorithm capable of optimizing C-programs. More recently, this algorithm has been used by Carrizosa and Plastria to solve a global optimization problem in facility location (Ref. ). The distinction between global optimization problems (Ref. ) and generalized convex problems can sometimes be hard to establish. That is exactly the reason why so much effort has been placed into finding an exhaustive classification of the different weak forms of convexity, establishing a new definition just to satisfy some desirable property in the most general way possible. This book does not aim at all the subtleties of the different generalizations of convexity, but concentrates on the most general of them all, quasiconvex programming. Chapter 5 shows clearly where the real difficulties appear.
Although modern location theory is now more than 90 years old, the focus of researchers in this area has been mainly problem oriented. However, a common theory, which keeps the essential characteristics of classical location models, is still missing.
This monograph addresses this issue. A flexible location problem called the Ordered Median Problem (OMP) is introduced. For all three main subareas of location theory (continuous, network and discrete location) structural properties of the OMP are presented and solution approaches provided. Numerous illustrations and examples help the reader to become familiar with this new location model.
By using OMP classical results of location theory can be reproved in a more general and sometimes even simpler way. Algorithms enable the reader to solve very flexible location models with a single implementation. In addition, the code of some algorithms is available for download.
It seems like the summer of dreams come true for Hollywood princess Kaitlin Burke: the media loves her (again), super-cute and funny Austin Meyers is finally her boyfriend and she's starring in a film by her all-time favourite director Hutch Adams.
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