Optimization and optimal control / / editors Panos M. Pardalos, Ider Tseveendorj, Rentsen Enkhbat.
This volume gives the latest advances in optimization and optimal control which are the main part of applied mathematics. It covers various topics of optimization, optimal control and operations research.
Gespeichert in:
E-Book
| Beteiligte Person(en) | , , |
|---|---|
| Ort, Verlag, Jahr |
Singapore ; River Edge, NJ
: World Scientific
, 2003
|
| Umfang | 1 online resource (380 p.) |
| ISBN | 1-281-92808-9 9786611928087 981-277-536-6 |
| Sprache | Englisch |
| Zusatzinfo | Description based upon print version of record. |
| Zusatzinfo | Preface; Contents; Extragradient approach to the solution of two person non-zero sum games; 1 Introduction; 2 Discussion of the problem; 3 Extragradient game methods; 4 Extragradient game methods using Lagrange function; 5 Game problems with coupled constraints; 6 Extragradient coupled constraints game methods; A Multilevel Construction Algorithm for the Traveling Salesman Problem; 1 Introduction; 2 Multilevel Contraction Algorithm (MCA); 2.1 Coarsening Phase; 2.2 Uncoarsening Phase; 3 Experimental Results; 4 Conclusions and Future Research; References Fair Network Resource Allocation and Link Pricing: A Numerical Study1 Introduction; 2 Fair Resource Allocation and Revenue Optimization Models; 3 Numerical Experience; 3.1 Network Instances with Unique Prices; 3.2 Network Instances with Non Unique Finite Prices; 3.3 Unbounded Price Set and Alternative Optimizations; 4 Perspectives and Related Results from the Literature; References; Nonlinear Phenomena in Economics; 1 Introduction; 2 The Model; 3 Adaptive Search; 4 Numerical Results; 5 Fixed Points and Cycles; 6 Chaos; References Necessary Optimality Conditions and Methods of Global Optimization1 Statement of the problem and method of solution; 2 Connection to the necessary optimality conditions; 3 Systems of algebraic polynomials; References; On Some Theory, Methods and Algorithms for Concave Programming; 1 Introduction; 2 Convex Maximization Problem; 2.1 Global Optimality Conditions; 3 Methods and Algorithms; 3.1 Resolving set; 3.2 Algorithm and its Convergence; 4 Quadratic Convex Maximization Problem; 4.1 Problem Statement and Optimality Condition; 4.2 Approximation Techniques of the Level Set 4.3 The Second Order Permissive Set4.4 A Maximization Algorithm over a Box; 5 Maximization of Strongly Convex Functions; 5.1 Algorithm over a Simple Set; 5.2 Nonconvex Optimal Control Problem; 6 Numerical Experiments; 7 Conclusions; References; Maximum Clique Regularizations; 1 Introduction; 2 Regularizations; 3 Bounding through the Legendre-Fenchel transform; 4 A DC-algorithm: qualitative experiments; 5 Concluding remarks; 5.1 Primitiveness; 5.2 Upper bounding; 5.3 Heuristic vs structural property; 5.4 Equivalence relation normalization; References Optimal synthesis of handwritten letters from their characteristic points1 Introduction; 2 Preliminary result; 3 Numerical optimization method; 4 Application; Acknowledgment; References; Appendix; The Role of Optimization in Economics; References; A Global Optimization Approach to Solving Equilibrium Programming Problems; 1 Reduction to a global optimization problem; 2 Equilibrium problem with d.c. function Φ( x,y); 3 Finding the Nash equilibrium; References; Comparison of Convex Relaxations for Monomials of Odd Degree; 1 Introduction; 2 Novel Convex Relaxation 3 Alternative Convex Relaxation |
| Zusatzinfo | English |
| Serie/Reihe | Series on Computers and Operations Research |
| Online-Zugang | EBSCO EBS 2024 |
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