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Encyclopedia of Optimization

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Table of Contents

  1. Altmetric Badge
    Book Overview
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    Chapter 292 MINLP: Heat Exchanger Network Synthesis
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    Chapter 293 MINLP: Logic-Based Methods
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    Chapter 294 MINLP: Mass and Heat Exchanger Networks
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    Chapter 295 MINLP: Outer Approximation Algorithm
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    Chapter 296 MINLP: Reactive Distillation Column Synthesis
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    Chapter 297 MINLP: Trim-Loss Problem
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    Chapter 298 Mixed Integer Classification Problems
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    Chapter 299 Mixed Integer Linear Programming: Heat Exchanger Network Synthesis
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    Chapter 300 Mixed Integer Linear Programming: Mass and Heat Exchanger Networks
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    Chapter 301 Mixed Integer Nonlinear Programming
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    Chapter 302 Modeling Languages in Optimization: a New Paradigm
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    Chapter 303 Molecular Structure Determination: Convex Global Underestimation
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    Chapter 304 Monte—Carlo Simulated Annealing in Protein Folding
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    Chapter 305 Monte—Carlo Simulations for Stochastic Optimization
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    Chapter 306 Motzkin Transposition Theorem
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    Chapter 307 Multi-Index Transportation Problems
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    Chapter 308 Multi-Objective Combinatorial Optimization
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    Chapter 309 Multi-Objective Integer Linear Programming
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    Chapter 310 Multi-Objective Mixed Integer Programming
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    Chapter 311 Multi-Objective Optimization and Decision Support Systems
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    Chapter 312 Multi-Objective Optimization: Interaction of Design and Control
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    Chapter 313 Multi-Objective Optimization: Interactive Methods for Preference Value Functions
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    Chapter 314 Multi-Objective Optimization: Lagrange Duality
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    Chapter 315 Multi-Objective Optimization: Pareto Optimal Solutions, Properties
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    Chapter 316 Multicommodity Flow Problems
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    Chapter 317 Multicriteria Sorting Methods
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    Chapter 318 Multidimensional Knapsack Problems
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    Chapter 319 Multidisciplinary Design Optimization
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    Chapter 320 Multifacility and Restricted Location Problems
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    Chapter 321 Multilevel Methods For Optimal Design
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    Chapter 322 Multilevel Optimization in Mechanics
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    Chapter 323 Multiparametric Linear Programming
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    Chapter 324 Multiparametric Mixed Integer Linear Programming
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    Chapter 325 Multiple Minima Problem in Protein Folding: αBB Global Optimization Approach
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    Chapter 326 Multiple Objective Dynamic Programming
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    Chapter 327 Multiple Objective Programming Support
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    Chapter 328 Multiplicative Programming
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    Chapter 329 Multistage Stochastic Programming: Barycentric Approximation
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    Chapter 330 Network Design Problems
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    Chapter 331 Network Location: Covering Problems
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    Chapter 332 Neural Networks for Combinatorial Optimization
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    Chapter 333 Neuro-Dynamic Programming
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    Chapter 334 Nonconvex Energy Functions: Hemivariational Inequalities
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    Chapter 335 Nonconvex Network Flow Problems
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    Chapter 336 Nonconvex-Nonsmooth Calculus of Variations
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    Chapter 337 Nondifferentiable Optimization
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    Chapter 338 Nondifferentiable Optimization: Cutting Plane Methods
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    Chapter 339 Nondifferentiable Optimization: Minimax Problems
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    Chapter 340 Nondifferentiable Optimization: Newton Method
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    Chapter 341 Nondifferentiable Optimization: Parametric Programming
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    Chapter 342 Nondifferentiable Optimization: Relaxation Methods
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    Chapter 343 Nondifferentiable Optimization: Subgradient Optimization Methods
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    Chapter 344 Nonlinear Least Squares: Newton-Type Methods
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    Chapter 345 Nonlinear Least Squares Problems
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    Chapter 346 Nonlinear Least Squares: Trust Region Methods
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    Chapter 347 Nonlinear Systems of Equations: Application to the Enclosure of all Azeotropes
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    Chapter 348 Nonlocal Sensitivity Analysis with Automatic Differentiation
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    Chapter 349 Nonoriented Multicommodity Flow Problems
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    Chapter 350 Nonsmooth and Smoothing Methods for Nonlinear Complementarity Problems and Variational Inequalities
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    Chapter 351 Np-Complete Problems and Proof Methodology
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    Chapter 352 Numerical Methods for Unary Optimization
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    Chapter 353 Oligopolistic Market Equilibrium
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    Chapter 354 Operations Research
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    Chapter 355 Operations Research and Financial Markets
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    Chapter 356 Operations Research Models for Supply Chain Management and Design
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    Chapter 357 Optimal Control of a Flexible Arm
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    Chapter 358 Optimal Design in Nonlinear Optics
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    Chapter 359 Optimal Design of Composite Structures
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    Chapter 360 Optimal Triangulations
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    Chapter 361 Optimality Criteria for Multiphase Chemical Equilibrium
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    Chapter 362 Optimization and Decision Support Systems
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    Chapter 363 Optimization in Boolean Classification Problems
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    Chapter 364 Optimization in Classifying Text Documents
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    Chapter 365 Optimization in Leveled Graphs
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    Chapter 366 Optimization in Medical Imaging
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    Chapter 367 Optimization in Operation of Electric and Energy Power Systems
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    Chapter 368 Optimization in Water Resources
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    Chapter 369 Optimization Software
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    Chapter 370 Optimization Strategies for Dynamic Systems
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    Chapter 371 Optimization with Equilibrium Constraints: A Piecewise SQP Approach
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    Chapter 372 Optimizing Facility Location with Rectilinear Distances
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    Chapter 373 Order Complementarity
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    Chapter 374 Oriented Matroids
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    Chapter 375 Orthogonal Triangularization
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    Chapter 376 Outranking Methods
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    Chapter 377 Overdetermined Systems of Linear Equations
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    Chapter 378 Packet Annealing
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    Chapter 379 Parallel Computing: Complexity Classes
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    Chapter 380 Parallel Computing: Models
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    Chapter 381 Parallel Heuristic Search
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    Chapter 382 Parametric Global Optimization: Sensitivity
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    Chapter 383 Parametric Linear Programming: Cost Simplex Algorithm
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    Chapter 384 Parametric Mixed Integer Nonlinear Optimization
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    Chapter 385 Parametric Optimization: Embeddings, Path Following and Singularities
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    Chapter 386 Phase Problem in X-Ray Crystallography: Shake and Bake Approach
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    Chapter 387 Piecewise Linear Network Flow Problems
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    Chapter 388 Pivoting Algorithms for Linear Programming Generating Two Paths
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    Chapter 389 Pontryagin Maximum Principle
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    Chapter 390 Portfolio Selection and Multicriteria Analysis
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    Chapter 391 Portfolio Selection: Markowitz Mean-Variance Model
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    Chapter 392 Potential Reduction Methods for Linear Programming
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    Chapter 393 Powell Method
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    Chapter 394 Preference Disaggregation
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    Chapter 395 Preference Disaggregation Approach: Basic Features, Examples from Financial Decision Making
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    Chapter 396 Preference Modeling
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    Chapter 397 Preprocessing in Stochastic Programming
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    Chapter 398 Principal Pivoting Methods for Linear Complementarity Problems
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    Chapter 399 Probabilistic Analysis of Simplex Algorithms
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    Chapter 400 Probabilistic Constrained Linear Programming: Duality Theory
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    Chapter 401 Probabilistic Constrained Problems: Convexity Theory
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    Chapter 402 Production-Distribution System Design Problem
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    Chapter 403 Protein Folding: Generalized-Ensemble Algorithms
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    Chapter 404 QR Factorization
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    Chapter 405 Quadratic Assignment Problem
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    Chapter 406 Quadratic Fractional Programming: Dinkelbach Method
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    Chapter 407 Quadratic Knapsack
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    Chapter 408 Quadratic Programming Over an Ellipsoid
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    Chapter 409 Quadratic Programming with Bound Constraints
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    Chapter 410 Quadratic Semi-Assignment Problem
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    Chapter 411 Quasidifferentiable Optimization
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    Chapter 412 Quasidifferentiable Optimization: Algorithms for Hypodifferentiable Functions
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    Chapter 413 Quasidifferentiable Optimization: Algorithms for QD Functions
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    Chapter 414 Quasidifferentiable Optimization: Applications
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    Chapter 415 Quasidifferentiable Optimization: Applications to Thermoelasticity
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    Chapter 416 Quasidifferentiable Optimization: Calculus of Quasidifferentials
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    Chapter 417 Quasidifferentiable Optimization: Codifferentiable Functions
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    Chapter 418 Quasidifferentiable Optimization: Dini Derivatives, Clarke Derivatives
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    Chapter 419 Quasidifferentiable Optimization: Exact Penalty Methods
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    Chapter 420 Quasidifferentiable Optimization: Optimality Conditions
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    Chapter 421 Quasidifferentiable Optimization: Stability Of Dynamic Systems
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    Chapter 422 Quasidifferentiable Optimization: Variational Formulations
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    Chapter 423 Quasivariational Inequalities
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    Chapter 424 Random Search Methods
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    Chapter 425 Redundancy in Nonlinear Programs
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    Chapter 426 Reformulation-Linearization Methods for Global Optimization
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    Chapter 427 Regression by Special Functions
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    Chapter 428 Relaxation in Projection Methods
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    Chapter 429 Replicator Dynamics in Combinatorial Optimization
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    Chapter 430 Resource Allocation for Epidemic Control
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    Chapter 431 αBB algorithm; Concave programming; D.C. programming; Quadratic knapsack. Quadratic programming with bound constraints; Reverse convex optimization Standard quadratic optimization problems: Theory REVERSE CONVEX OPTIMIZATION
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    Chapter 432 Robust Control
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    Chapter 433 Robust Control: Schur Stability of Polytopes of Polynomials
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    Chapter 434 Robust Optimization
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    Chapter 435 Rosenbrock Method
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    Chapter 436 Rosen’s Method, Global Convergence, and Powell’s Conjecture
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    Chapter 437 Saddle Point Theory and Optimality Conditions
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    Chapter 438 Second Order Constraint Qualifications
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    Chapter 439 Second Order Optimality Conditions for Nonlinear Optimization
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    Chapter 440 Selfdual Parametric Method for Linear Programs
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    Chapter 441 Semi-Infinite Programming and Applications in Finance
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    Chapter 442 Semi-Infinite Programming and Control Problems
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    Chapter 443 Semi-infinite programming and control problems; Semi-infinite programming: Discretization methods; Semi-infinite programming: Methods for linear problems; Semi-infinite programming: Numerical methods; Semi-infinite programming: Second order optimality conditions; Semi-infinite programming, semidefinite programming and perfect duality SEMI-INFINITE PROGRAMMING: APPROXIMATION METHODS
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    Chapter 444 Semi-Infinite Programming: Discretization Methods
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    Chapter 445 Semi-Infinite Programming: Methods for Linear Problems
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    Chapter 446 Semi-Infinite Programming: Numerical Methods
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    Chapter 447 Semi-Infinite Programming: Second Order Optimality Conditions
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    Chapter 448 Semi-Infinite Programming, Semidefinite Programming and Perfect Duality
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    Chapter 449 Semidefinite Programming and Determinant Maximization
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    Chapter 450 Semidefinite Programming and Structural Optimization
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    Chapter 451 Semidefinite Programming: Optimality Conditions and Stability
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    Chapter 452 Sensitivity Analysis of Complementarity Problems
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    Chapter 453 Sensitivity Analysis of Variational Inequality Problems
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    Chapter 454 Sensitivity and Stability in NLP
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    Chapter 455 Sensitivity and Stability in NLP: Approximation
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    Chapter 456 Sensitivity and Stability in NLP: Continuity and Differential Stability
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    Chapter 457 Sequential Quadratic Programming: Interior Point Methods for Distributed Optimal Control Problems
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    Chapter 458 Sequential Simplex Method
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    Chapter 459 Set Covering, Packing and Partitioning Problems
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    Chapter 460 Set-Valued Optimization
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    Chapter 461 Shape Optimization
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    Chapter 462 Shortest Path Tree Algorithms
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    Chapter 463 Signal Processing with Higher Order Statistics
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    Chapter 464 Simple Recourse Problem
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    Chapter 465 Simple Recourse Problem: Dual Method
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    Chapter 466 Simple Recourse Problem: Primal Method
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    Chapter 467 Simplicial Decomposition
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    Chapter 468 Simplicial Decomposition Algorithms
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    Chapter 469 Simplicial Pivoting Algorithms for Integer Programming
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    Chapter 470 Simulated Annealing
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    Chapter 471 Simulated Annealing Methods in Protein Folding
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    Chapter 472 Single Facility Location: Circle Covering Problem
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    Chapter 473 Single Facility Location: Multi-Objective Euclidean Distance Location
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    Chapter 474 Single Facility Location: Multi-Objective Rectilinear Distance Location
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    Chapter 475 Smooth Nonlinear Nonconvex Optimization
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    Chapter 476 Solving Hemivariational Inequalities by Nonsmooth Optimization Methods
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    Chapter 477 Solving Large Scale And Sparse Semidefinite Programs
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    Chapter 478 Spatial Price Equilibrium
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    Chapter 479 Splitting Method for Linear Complementarity Problems
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    Chapter 480 SSC Minimization Algorithms
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    Chapter 481 SSC Minimization Algorithms for Nonsmooth and Stochastic Optimization
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    Chapter 482 Stabilization of Cutting Plane Algorithms for Stochastic Linear Programming Problems
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    Chapter 483 Standard Quadratic Optimization Problems: Algorithms
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    Chapter 484 Standard Quadratic Optimization Problems: Applications
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    Chapter 485 Standard Quadratic Optimization Problems: Theory
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    Chapter 486 Static Stochastic Programming Models
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    Chapter 487 Static Stochastic Programming Models: Conditional Expectations
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    Chapter 488 Statistical Classification: Optimization Approaches
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    Chapter 489 STEINER TREE PROBLEMS
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    Chapter 490 Stochastic Bilevel Programs
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    Chapter 491 Stochastic Global Optimization: Stopping Rules
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    Chapter 492 Genetic algorithmsStochastic Global Optimization: Two-Phase Methods
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    Chapter 493 Stochastic Integer Programming: Continuity, Stability, Rates of Convergence
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    Chapter 494 Stochastic Integer Programs
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    Chapter 495 Stochastic Linear Programming: Decomposition and Cutting Planes
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    Chapter 496 Stochastic Linear Programs with Recourse and Arbitrary Multivariate Distributions
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    Chapter 497 Stochastic Network Problems: Massively Parallel Solution
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    Chapter 498 Stochastic Programming: Minimax Approach
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    Chapter 499 Stochastic Programming Models: Random Objective
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    Chapter 500 Stochastic Programming: Nonanticipativity and Lagrange Multipliers
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    Chapter 501 Stochastic Programming: Parallel Factorization of Structured Matrices
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    Chapter 502 Stochastic Programming with Simple Integer Recourse
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    Chapter 503 Stochastic Programs with Recourse: Upper Bounds
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    Chapter 504 Stochastic Quasigradient Methods
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    Chapter 505 Stochastic Quasigradient Methods: Applications
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    Chapter 506 Stochastic Quasigradient Methods in Minimax Problems
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    Chapter 507 Stochastic Scheduling
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    Chapter 508 Stochastic Transportation and Location Problems
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    Chapter 509 Stochastic Vehicle Routing Problems
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    Chapter 510 Structural Optimization
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    Chapter 511 Structural Optimization: History
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    Chapter 512 Suboptimal Control
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    Chapter 513 Successive Quadratic Programming
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    Chapter 514 Successive Quadratic Programming: Applications in Distillation Systems
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    Chapter 515 Successive Quadratic Programming: Applications in the Process Industry
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    Chapter 516 Successive Quadratic Programming: Decomposition Methods
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    Chapter 517 Successive Quadratic Programming: Full Space Methods
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    Chapter 518 Successive Quadratic Programming: Solution by Active Sets and Interior Point Methods
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    Chapter 519 Survivable Networks
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    Chapter 520 Symmetric Systems of Linear Equations
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    Chapter 521 Theorems of the Alternative and Optimization
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    Chapter 522 Three-Index Assignment Problem
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    Chapter 523 Time-Dependent Traveling Salesman Problem
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    Chapter 524 Topological Derivative in Shape Optimization
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    Chapter 525 Topological Methods in Complementarity Theory
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    Chapter 526 Topology of Global Optimization
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    Chapter 527 Topology Optimization
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    Chapter 528 Traffic Network Equilibrium
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    Chapter 529 Tucker Homogeneous Systems of Linear Relations
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    Chapter 530 Two-Stage Stochastic Programming: Quasigradient Method
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    Chapter 531 Two-Stage Stochastic Programs with Recourse
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    Chapter 532 Unconstrained Nonlinear Optimization: Newton–Cauchy Framework
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    Chapter 533 Unconstrained Optimization in Neural Network Training
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    Chapter 534 Variational Inequalities
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    Chapter 535 Variational Inequalities: F. E. Approach
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    Chapter 536 Variational Inequalities: Geometric Interpretation, Existence and Uniqueness
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    Chapter 537 Variational Inequalities: Projected Dynamical System
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    Chapter 538 Variational Principles
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    Chapter 539 Vector Optimization
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    Chapter 540 Vehicle Routing
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    Chapter 541 Vehicle Scheduling
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    Chapter 542 Volume Computation for Polytopes: Strategies and Performances
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    Chapter 543 Von Neumann, John
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    Chapter 544 Voronoi Diagrams in Facility Location
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    Chapter 545 Walrasian Price Equilibrium
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    Chapter 546 Warehouse Location Problem
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    Chapter 547 Young programming
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Title
Encyclopedia of Optimization
Published by
Springer US, January 2001
DOI 10.1007/0-306-48332-7
ISBNs
978-0-7923-6932-5, 978-0-306-48332-5
Editors

Christodoulos A. Floudas, Panos M. Pardalos

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Geographical breakdown

Country Count As %
Spain 1 3%
Switzerland 1 3%
Unknown 34 94%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 7 19%
Researcher 5 14%
Student > Bachelor 4 11%
Student > Master 3 8%
Student > Doctoral Student 2 6%
Other 7 19%
Unknown 8 22%
Readers by discipline Count As %
Engineering 12 33%
Computer Science 4 11%
Mathematics 3 8%
Business, Management and Accounting 2 6%
Physics and Astronomy 2 6%
Other 4 11%
Unknown 9 25%