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Semi-Infinite Programming: Recent Advances
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Catalogue Information
Field name
Details
Dewey Class
005.1
Title
Semi-Infinite Programming ([EBook] :) : Recent Advances / / edited by Miguel Á. Goberna, Marco A. López.
Added Personal Name
Goberna, Miguel A.
editor.
López, Marco A.
editor.
Other name(s)
SpringerLink (Online service)
Publication
Boston, MA : : Springer US : : Imprint: Springer, , 2001.
Physical Details
XVIII, 386 p. : online resource.
Series
Nonconvex Optimization and Its Applications
1571-568X ; ; 57
ISBN
9781475734034
Summary Note
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.:
Contents note
I History -- 1 On The 1962–1972 Decade of Semi-Infinite Programming: A Subjective View -- II Theory -- 2 About Disjunctive Optimization -- 3 On Regularity and Optimality in Nonlinear Semi-Infinite Programming -- 4 Asymptotic Constraint Qualifications and Error Bounds for Semi-Infinite Systems of Convex Inequalities -- 5 Stability of the Feasible Set Mapping in Convex Semi-Infinite Programming -- 6 On Convex Lower Level Problems In Generalized Semi-Infinite Optimization -- 7 On Duality Theory of Conic Linear Problems -- III Numerical Methods -- 8 Two Logarithmic Barrier Methods for Convex Semi-Infinite Problems -- 9 First-Order Algorithms for Optimization Problems with a Maximum Eigenvalue/ Singular Value Cost and or Constraints -- 10 Analytic Center Based Cutting Plane Method for Linear Semi-Infinite Programming -- IV Modeling and Applications -- 11 On Some Applications Of Lsip to Probability and Statistics -- 12 Separation by Hyperplanes: A Linear Semi-Infinite Programming Approach -- 13 A Semi-Infinte Optimization Approach to Optimal Spline Trajectory Planning of Mechanical Manipulators -- 14 On Stability of Guaranteed Estimation Problems: Error Bounds for Information Domains and Experimental Design -- 15 Optimization under Uncertainty and Linear Semi-Infinite Programming: A Survey -- 16 Semi-Infinite Assignment and Transportation Games -- 17 The Owen Set and the Core of Semi-Infinite Linear Production Situations.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4757-3403-4
Links to Related Works
Subject References:
Applications of Mathematics
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Applied mathematics
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Computer Science
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Engineering mathematics
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Mathematical Modeling and Industrial Mathematics
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Mathematical models
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Mathematical optimization
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Mathematics of Computing
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Optimization
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Probabilities
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Probability theory and stochastic processes
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Software Engineering
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Software Engineering/Programming and Operating Systems
.
Authors:
Goberna, Miguel A.
.
López, Marco A.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Nonconvex Optimization and Its Applications
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Classification:
005.1
.
.
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