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Full Description
The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field.
In 2000, the first edition was widely acclaimed and received high praise. J.B. Rosen crowned it "an indispensable resource" and Dingzhu Du lauded it as "the standard most important reference in this very dynamic research field". Top authors such as Herbert Hauptman (winner of the Nobel Prize) and Leonid Khachiyan (the Ellipsoid theorist) contributed and the second edition kept these seminal entries.
The second edition built upon the success of the first edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".
The broad field of optimization is dynamic and constantly changing with novel applications, models, and methodologies. The aim of the third edition is to keep this reference work as a defining and authoritative resource in the optimization field, and to reflect recent important advances and developments. In addition to updating a portion of the existing entries, the third edition will include about 200 new entries in several of the optimization areas that have burgeoned since publication of the second edition such as AI, Machine Learning, Robust Optimization, optimization of pharmaceutical manufacturing, and more.
Contents
ABS Algorithms for Linear Equations and Linear Least Squares.- ABS Algorithms for Optimization.- Adaptive Convexification in Semi-Infinite Optimization.- Adaptive Global Search.- Adaptive Simulated Annealing and its Application to Protein Folding.- Affine Sets and Functions.- Airline Optimization.- Algorithmic Improvements Using a Heuristic Parameter, Reject Index for Interval Optimization.- Algorithms for Genomic Analysis.- Alignment Problem.- Alternative Set Theory.- Approximation of Extremum Problems with Probability Functionals.- Approximation of Multivariate Probability Integrals.- Approximations to Robust Conic Optimization Problems.- Archimedes and the Foundations of Industrial Engineering.- Asset Liability Management Decision Support System.- Assignment and Matching.- Assignment Methods in Clustering.- Asymptotic Properties of Random Multidimensional Assignment Problem.- Asynchronous Distributed Optimization Algorithms.- Auction Algorithms.- Automatic Differentiation: Calculation of Newton Steps.- Automatic Differentiation: Calculation of the Hessian.- Automatic Differentiation: Geometry of Satellites and Tracking Stations.- Automatic Differentiation: Introduction, History and Rounding Error Estimation.- Automatic Differentiation: Parallel Computation.- Automatic Differentiation: Point and Interval.- Automatic Differentiation: Point and Interval Taylor Operators.- Automatic Differentiation: Root Problem and Branch Problem.- Bayesian Global Optimization.- Bayesian Networks.- Beam Selection in Radiotherapy Treatment Design.- Best Approximation in Ordered Normed Linear Spaces.- Bi-Objective Assignment Problem.- Bilevel Fractional Programming.- Bilevel Linear Programming.- Bilevel Linear Programming: Complexity, Equivalence to Minmax, Concave Programs.- Bilevel Optimization: Feasibility Test and Flexibility Index.- Bilevel Programming.- Bilevel Programming Framework for Enterprise-Wide Process Networks Under Uncertainty.- Bilevel Programming in Management.- Bilevel Programming: Applications.- Bilevel Programming: Applications in Engineering.- Bilevel Programming: Global Optimization.- Bilevel Programming: Implicit Function Approach.- Bilevel Programming: Introduction, History and Overview.- Bilevel Programming: Optimality Conditions and Duality.- Bilinear Programming.- Bilinear Programming: Applications in the Supply Chain Management.- Biquadratic Assignment Problem.- Bisection Global Optimization Methods.- Boolean and Fuzzy Relations.- Bottleneck Steiner Tree Problems.- Boundary Condition Iteration BCI.- Bounding Derivative Ranges.- Bounds and Solution Vector Estimates for Parametric NLPS.- Branch and Price: Integer Programming with Column Generation.- Branchwidth and Branch Decompositions.- Broadcast Scheduling Problem.- Broyden Family of Methods and the BFGS Update.
