Encyclopedia of Optimization
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.
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Persons
Panos M. Pardalos serves as distinguished professor of industrial and systems engineering at the University of Florida. Additionally, he is the Paul and Heidi Brown Preeminent Professor of industrial and systems engineering. Pardalos is also an affiliated faculty member of the computer and information science department, the Hellenic Studies Center, and the biomedical engineering program. Additionally, he serves as the director of the Center for Applied Optimization. Pardalos is a world leading expert in global and combinatorial optimization. His recent research interests include network design problems, optimization in telecommunications, e-commerce, data mining, biomedical applications, and massive computing. Pardalos is a prolific author who lectures all over the world. He is the recipient of a multitude of fellowships and awards, the most recent of which is the Humboldt Research Award (2018).
Oleg Prokopyev is a Professor in the Department of Industrial Engineering at the University of Pittsburgh. He has published over 80 journal papers. One of the papers co-authored by Dr. Prokopyev was awarded the William Pierskalla Best Paper Award by the Health Applications Society of the Institute for Operations Research and the Management Sciences (INFORMS), while another was the winner of Best Publication Award in Environment and Sustainability by the INFORMS Section on Energy, Natural Resources, and the Environment. Dr. Prokopyev's research has been funded by the U.S. National Science Foundation, U.S. Air Force Office of Scientific Research (AFOSR), U.S. Office of Naval Research, U.S. Defense Threat Reduction Agency and U.S. Department of Veterans Affairs. Dr. Prokopyev was also the recipient of the AFOSR Young Investigator Research Program (YIP) Award. Dr. Prokopyev serves as a Co-Editor-in-Chief of Optimization Letters and an editorial board member of several other journals . Dr. Prokopyev was an organizing committee member of INFORMS 2006 and 2018 Annual Meetings, as well as the 22nd International Symposium on Mathematical Programming (ISMP) in 2015.
Content
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.