Semi-Infinite Programming: Recent Advances

Pirmais vāks
Miguel Ángel Goberna, Marco A. López
Springer Science & Business Media, 2001. gada 31. okt. - 386 lappuses
Semi-infinite programming (SIP) deals with optimization problems in which either the number of decision variables or the number of constraints is finite. This book presents the state of the art in SIP in a suggestive way, bringing the powerful SIP tools close to the potential users in different scientific and technological fields.
The volume is divided into four parts. Part I reviews the first decade of SIP (1962-1972). Part II analyses convex and generalised SIP, conic linear programming, and disjunctive programming. New numerical methods for linear, convex, and continuously differentiable SIP problems are proposed in Part III. Finally, Part IV provides an overview of the applications of SIP to probability, statistics, experimental design, robotics, optimization under uncertainty, production games, and separation problems.
Audience: This book is an indispensable reference and source for advanced students and researchers in applied mathematics and engineering.

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References
34
ABOUT DISJUNCTIVE OPTIMIZATION
57
6
67
ERROR BOUNDS FOR SEMIINFINITE SYSTEMS
75
9
79
21
85
References
95
Introduction
101
5678
211
7
216
ON SOME APPLICATIONS OF LSIP TO PROBABILITY
237
References
254
ON STABILITY OF GUARANTEED ESTIMATION
299
15
325
16
347
219
348

6
120
ON DUALITY THEORY OF CONIC LINEAR PROBLEMS
135
ANALYTIC
179
PROBLEMS WITH A MAXIMUM EIGENVALUE
197
4
355
THE OWEN SET AND THE CORE OF SEMIINFINITE
365
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