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 88.
viii. lappuse
... infinite convex minimization Normal cones and complementary sets ASYMPTOTIC CONSTRAINT QUALIFICATIONS AND ERROR BOUNDS FOR SEMI - INFINITE SYSTEMS OF CONVEX INEQUALITIES Wu Li and Ivan Singer Introduction Preliminaries Asymptotic ...
... infinite convex minimization Normal cones and complementary sets ASYMPTOTIC CONSTRAINT QUALIFICATIONS AND ERROR BOUNDS FOR SEMI - INFINITE SYSTEMS OF CONVEX INEQUALITIES Wu Li and Ivan Singer Introduction Preliminaries Asymptotic ...
ix. lappuse
... Infinite Min - Max Problems Rate of Convergence of Algorithm 2.2 Minimization of the Maximum Eigenvalue of a Symmetric Matrix 6678 5 Problems with Semi - Infinite Constraints Problems with Maximum Eigenvalue Constraints Rate of ...
... Infinite Min - Max Problems Rate of Convergence of Algorithm 2.2 Minimization of the Maximum Eigenvalue of a Symmetric Matrix 6678 5 Problems with Semi - Infinite Constraints Problems with Maximum Eigenvalue Constraints Rate of ...
x. lappuse
... INFINITE PROGRAM- MING Soon - Yi Wu , Shu - Cherng Fang and Chih - Jen Lin 1 Introduction 221 2 Analytic Center Based Cuts 223 3 4 Analytic Center Cutting Plane Method for LSIP Convergence and Complexity 224 230 References 233 Part IV ...
... INFINITE PROGRAM- MING Soon - Yi Wu , Shu - Cherng Fang and Chih - Jen Lin 1 Introduction 221 2 Analytic Center Based Cuts 223 3 4 Analytic Center Cutting Plane Method for LSIP Convergence and Complexity 224 230 References 233 Part IV ...
xi. lappuse
... infinite programming 6 References 337 341 345 346 16 SEMI - INFINITE ASSIGNMENT AND TRANSPORTATION GAMES 349 Joaquín Sánchez - Soriano , Natividad Llorca , Stef Tijs and Judith Timmer 1 Introduction 349 2 Finite transportation and ...
... infinite programming 6 References 337 341 345 346 16 SEMI - INFINITE ASSIGNMENT AND TRANSPORTATION GAMES 349 Joaquín Sánchez - Soriano , Natividad Llorca , Stef Tijs and Judith Timmer 1 Introduction 349 2 Finite transportation and ...
xiii. lappuse
... infinite systems and the John's optimality conditions for SIP problems , published in 1924 and 1948 , respectively- , the term appeared by the first time in a paper of Charnes , Cooper , and Kortanek ( 1962 ) devoted to duality in ...
... infinite systems and the John's optimality conditions for SIP problems , published in 1924 and 1948 , respectively- , the term appeared by the first time in a paper of Charnes , Cooper , and Kortanek ( 1962 ) devoted to duality in ...
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 |
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