Titlebook: Essays and Surveys in Global Optimization; Charles Audet,Pierre Hansen,Gilles Savard Book 2005 Springer-Verlag US 2005 Analysis.Optimizati

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Unilateral Analysis and Duality,e to present the main features of duality theory in a general framework encompassing numerous special instances. We focus our attention on the set of multipliers. We look for an interpretation of multipliers as generalized derivatives of the performance function associated with a dualizing parameter

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Monotonic Optimization: Branch and Cut Methods,or the study of this class of problems a general framework (Tuy, 2000a) has been earlier developed where a key role was given to a separation property of solution sets of monotonic inequalities similar to the separation property of convex sets. In the present paper the separation cut is combined wit

linear

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ZEST

Bilevel Programming,g of a parametric optimization problem. In this paper, a selective survey for this living research area is given. Focus is on main recent approaches to solve such problems, on optimality conditions as well as on essential features of this problem class.

ZEST

Applications of Global Optimization to Portfolio Analysis, are mean-risk models under nonconvex transaction cost, minimal transaction unit constraints and cardinality constraints. Also, we will discuss several bond portfolio optimization problems, long term portfolio optimization problems and others..Problems to be discussed are concave/d.c. minimization p

公理

Optimization Techniques in Medicine,s proved to be successful in various medical applications. We identify the main research directions and describe several important problems arising in this area, including disease diagnosis, risk prediction, treatment planning, etc.

RALES

1FAWN

A Deterministic Global Optimization Algorithm for Design Problems,ng procedures must be introduced in these extended algorithms. They are based on . and are explained in this chapter. In order to validate the designing methodology, . are considered. The corresponding . is recalled and some . are presented and discussed.