Encyclopedia of Optimization

Third Auflage 2026
ISBN: 978-3-031-73357-4
Verlag: Springer

Buch, Englisch, 6192 Seiten, Format (B × H): 178 mm x 254 mm

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 have 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 includes 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.

Zielgruppe

Research

Autoren/Hrsg.

Pardalos, Panos M.

Prokopyev, Oleg A.

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung

Inhaltsverzeichnis

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.

Über Autor(innen)

Dr. Panos Pardalos  is a Distinguished Emeritus Professor in the Department of Industrial and Systems Engineering at the University of Florida, and an affiliated faculty member in the Biomedical Engineering and Computer Science & Information Engineering departments. Panos Pardalos was born in Drosato (Mezilo) Argitheas, Greece, in 1954 and graduated from Athens University (Department of Mathematics). He received his PhD in Computer and Information Sciences from the University of Minnesota. Since 2011, he has served as the academic advisor at LATNA, HSE.

Panos Pardalos is a world-renowned leader in Global Optimization, Mathematical Modeling, Energy Systems, Financial Applications, and Data Sciences. He is a Fellow of AAAS, AAIA, AIMBE, EUROPT, and INFORMS, and was awarded the 2013 Constantin Carathéodory Prize by the International Society of Global Optimization. In addition, he was awarded the 2013 EURO Gold Medal by the Association of European Operational Research Societies. This medal is the preeminent European award given to Operations Research (OR) professionals for “scientific contributions that stand the test of time.”

Professor Pardalos was also honored with the prestigious Humboldt Research Award (2018–2019). This award is granted in recognition of a researcher's entire body of work—fundamental discoveries, new theories, and insights that have had a significant impact on their discipline.

Furthermore, he is a member of several Academies of Sciences and holds numerous honorary PhD degrees and affiliations. He is the Founding Editor of Optimization Letters and Energy Systems, and Co-Founder of the International Journal of Global Optimization, Computational Management Science, and Springer Nature Operations Research Forum. He has published over 900 papers and edited or authored over 300 books. As one of the most highly cited authors in his field, he has graduated 71 PhD students to date.

Further details can be found at: www.faculty.eng.ufl.edu/pardalos/publications

Dr. Oleg A. Prokopyev is a Professor of Quantitative Business Administration at the University of Zurich (UZH), Switzerland. Previously, he was a professor in the Department of Industrial Engineering at the University of Pittsburgh. Oleg Prokopyev earned his degree in Applied Mathematics and Physics from the Moscow Institute of Physics and Technology, and he received his Ph.D. in Industrial and Systems Engineering from the University of Florida. Oleg Prokopyev has published more than 100 journal papers. One of his co-authored papers received the William Pierskalla Best Paper Award by the Health Applications Society of the Institute for Operations Research and the Management Sciences (INFORMS), while another received the Best Publication Award in Environment and Sustainability by the INFORMS Section on Energy, Natural Resources, and the Environment. Oleg Prokopyev was also the recipient of the Air Force Office of Scientific Research (AFOSR) Young Investigator Research Program (YIP) Award. His research interests lie at the intersection of mathematical optimization theory and the development of computational and algorithmic methods. Dr. Prokopyev serves as a Co-Editor-in-Chief of Optimization Letters and as editorial board member of several other journals.Top of Form

Bottom of Form