Semi-Infinite Programming: Recent AdvancesMiguel 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
1.–5. rezultāts no 87.
vii. lappuse
... SEMI - INFINITE PRO- GRAMMING : A SUBJECTIVE VIEW Ken O. Kortanek Introduction : Origins of a theory Generalized linear programming and the moment problem Using the 1924 Haar result on inhomogeneous linear inequal- ities Introducing an ...
... SEMI - INFINITE PRO- GRAMMING : A SUBJECTIVE VIEW Ken O. Kortanek Introduction : Origins of a theory Generalized linear programming and the moment problem Using the 1924 Haar result on inhomogeneous linear inequal- ities Introducing an ...
viii. lappuse
... SEMI - INFINITE PROGRAMMING Abdelhak Hassouni and Werner Oettli 1234 Introduction 2 The linear case The convex case 4 5 6 References 4 59 60 61 66 68 71 74 75 1 2 3 4 5 Convex approximants The exchange method for semi - infinite convex ...
... SEMI - INFINITE PROGRAMMING Abdelhak Hassouni and Werner Oettli 1234 Introduction 2 The linear case The convex case 4 5 6 References 4 59 60 61 66 68 71 74 75 1 2 3 4 5 Convex approximants The exchange method for semi - infinite convex ...
ix. lappuse
... LINEAR PROBLEMS Alexander Shapiro 1 Introduction 2 Conic linear problems 3 Problem of moments 4 Semi - infinite programming 5 Continuous linear programming References 135 135 136 145 152 155 164 Part III NUMERICAL METHODS 8 TWO ...
... LINEAR PROBLEMS Alexander Shapiro 1 Introduction 2 Conic linear problems 3 Problem of moments 4 Semi - infinite programming 5 Continuous linear programming References 135 135 136 145 152 155 164 Part III NUMERICAL METHODS 8 TWO ...
x. lappuse
... LINEAR SEMI- INFINITE PROGRAMMING APPROACH 255 Miguel A. Goberna , Marco A. López and Soon - Yi Wu 1 Introduction 255 2 Separation in normed spaces 257 3 4 Strong separation of compact sets in separable normed spaces 262 Strong ...
... LINEAR SEMI- INFINITE PROGRAMMING APPROACH 255 Miguel A. Goberna , Marco A. López and Soon - Yi Wu 1 Introduction 255 2 Separation in normed spaces 257 3 4 Strong separation of compact sets in separable normed spaces 262 Strong ...
xi. lappuse
... LINEAR 327 SEMI - INFINITE PROGRAMMING : A SURVEY Teresa León and Enriqueta Vercher 2 123+ Introduction Fuzzy sets 327 329 Convex programming with set - inclusive constraints 331 Numerical Results 4 Fuzzy mathematical programming 5 Linear ...
... LINEAR 327 SEMI - INFINITE PROGRAMMING : A SURVEY Teresa León and Enriqueta Vercher 2 123+ Introduction Fuzzy sets 327 329 Convex programming with set - inclusive constraints 331 Numerical Results 4 Fuzzy mathematical programming 5 Linear ...
Saturs
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 |
Citi izdevumi - Skatīt visu
Semi-Infinite Programming: Recent Advances Miguel Ángel Goberna,Marco A. López Ierobežota priekšskatīšana - 2001 |
Semi-Infinite Programming: Recent Advances Miguel ngel Goberna,Marco A. L pez Priekšskatījums nav pieejams - 2001 |
Bieži izmantoti vārdi un frāzes
algorithm Applications Assume assumption asymptotic Banach space Charnes compact sets computation cone consider constraint qualification convergence Convex Analysis convex functions convex inequality convex programming convex set cutting plane defined denote dual problem duality theory equivalent example exists feasible set feasible solution finite number ft(x fuzzy numbers fuzzy sets given global error bound Hence holds hyperplane implies infinite interval iteration K. O. Kortanek Lemma linear programming linear semi-infinite programming lower semicontinuous LSIP Mathematical Programming method minimizer moment problem nonempty norm obtain Operations Research optimal solution optimization problem parameter previsions primal problem of moments Proof Proposition result satisfied Section semi-infinite optimization semi-infinite programming problems sequence solution set solving Step sup-function t₁ Theorem 3.1 topology val(CLP val(D val(P vector weak PLV property αΕΩ ΘΕΩ