Semi-Infinite Programming: Recent Advances

Pirmais vāks
Miguel Ángel Goberna, Marco A. López
Springer Science & Business Media, 2013. gada 11. nov. - 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.

No grāmatas satura

Saturs

ON STABILITY OF GUARANTEED ESTIMATION
14
References
34
75
40
2
45
ASYMPTOTIC CONSTRAINT QUALIFICATIONS
75
VEX SEMIINFINITE PROGRAMMING
101
6
120
Alexander Shapiro
135
8
217
ANALYTIC
221
ON SOME APPLICATIONS OF LSIP TO PROBABILITY
235
References
254
References
269
15
325
Numerical Results
345
207
348

6
182
References
194
6678
207
4
355
THE OWEN SET AND THE CORE OF SEMIINFINITE
365
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