Simplicial Global Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 1461490936
Total Pages : 137 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Simplicial Global Optimization by : Remigijus Paulavičius

Download or read book Simplicial Global Optimization written by Remigijus Paulavičius and published by Springer Science & Business Media. This book was released on 2013-10-09 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simplicial Global Optimization is centered on deterministic covering methods partitioning feasible region by simplices. This book looks into the advantages of simplicial partitioning in global optimization through applications where the search space may be significantly reduced while taking into account symmetries of the objective function by setting linear inequality constraints that are managed by initial partitioning. The authors provide an extensive experimental investigation and illustrates the impact of various bounds, types of subdivision, strategies of candidate selection on the performance of algorithms. A comparison of various Lipschitz bounds over simplices and an extension of Lipschitz global optimization with-out the Lipschitz constant to the case of simplicial partitioning is also depicted in this text. Applications benefiting from simplicial partitioning are examined in detail such as nonlinear least squares regression and pile placement optimization in grillage-type foundations. Researchers and engineers will benefit from simplicial partitioning algorithms such as Lipschitz branch and bound, Lipschitz optimization without the Lipschitz constant, heuristic partitioning presented. This book will leave readers inspired to develop simplicial versions of other algorithms for global optimization and even use other non-rectangular partitions for special applications.

Simplicial Global Optimization

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Publisher :
ISBN 13 : 9781461490944
Total Pages : 148 pages
Book Rating : 4.4/5 (99 download)

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Book Synopsis Simplicial Global Optimization by : Remigijus Paulavi Ius

Download or read book Simplicial Global Optimization written by Remigijus Paulavi Ius and published by . This book was released on 2013-10-31 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Deterministic Global Optimization

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Publisher : Springer
ISBN 13 : 1493971999
Total Pages : 136 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Deterministic Global Optimization by : Yaroslav D. Sergeyev

Download or read book Deterministic Global Optimization written by Yaroslav D. Sergeyev and published by Springer. This book was released on 2017-06-16 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book begins with a concentrated introduction into deterministic global optimization and moves forward to present new original results from the authors who are well known experts in the field. Multiextremal continuous problems that have an unknown structure with Lipschitz objective functions and functions having the first Lipschitz derivatives defined over hyperintervals are examined. A class of algorithms using several Lipschitz constants is introduced which has its origins in the DIRECT (DIviding RECTangles) method. This new class is based on an efficient strategy that is applied for the search domain partitioning. In addition a survey on derivative free methods and methods using the first derivatives is given for both one-dimensional and multi-dimensional cases. Non-smooth and smooth minorants and acceleration techniques that can speed up several classes of global optimization methods with examples of applications and problems arising in numerical testing of global optimization algorithms are discussed. Theoretical considerations are illustrated through engineering applications. Extensive numerical testing of algorithms described in this book stretches the likelihood of establishing a link between mathematicians and practitioners. The authors conclude by describing applications and a generator of random classes of test functions with known local and global minima that is used in more than 40 countries of the world. This title serves as a starting point for students, researchers, engineers, and other professionals in operations research, management science, computer science, engineering, economics, environmental sciences, industrial and applied mathematics to obtain an overview of deterministic global optimization.

Global Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 366203199X
Total Pages : 735 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Global Optimization by : Reiner Horst

Download or read book Global Optimization written by Reiner Horst and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main contents and character of the monograph did not change with respect to the first edition. However, within most chapters we incorporated quite a number of modifications which take into account the recent development of the field, the very valuable suggestions and comments that we received from numerous colleagues and students as well as our own experience while using the book. Some errors and misprints in the first edition are also corrected. Reiner Horst May 1992 Hoang Tuy PREFACE TO THE FIRST EDITION The enormous practical need for solving global optimization problems coupled with a rapidly advancing computer technology has allowed one to consider problems which a few years aga would have been considered computationally intractable. As a consequence, we are seeing the creation of a large and increasing number of diverse algorithms for solving a wide variety of multiextremal global optimization problems. The goal of this book is to systematically clarify and unify these diverse approaches in order to provide insight into the underlying concepts and their pro perties. Aside from a coherent view of the field much new material is presented.

Encyclopedia of Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 0387747583
Total Pages : 4646 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Encyclopedia of Optimization by : Christodoulos A. Floudas

Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The second edition builds on the success of the former 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".

Bayesian and High-Dimensional Global Optimization

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Publisher : Springer Nature
ISBN 13 : 3030647129
Total Pages : 125 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Bayesian and High-Dimensional Global Optimization by : Anatoly Zhigljavsky

Download or read book Bayesian and High-Dimensional Global Optimization written by Anatoly Zhigljavsky and published by Springer Nature. This book was released on 2021-03-02 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible to a variety of readers, this book is of interest to specialists, graduate students and researchers in mathematics, optimization, computer science, operations research, management science, engineering and other applied areas interested in solving optimization problems. Basic principles, potential and boundaries of applicability of stochastic global optimization techniques are examined in this book. A variety of issues that face specialists in global optimization are explored, such as multidimensional spaces which are frequently ignored by researchers. The importance of precise interpretation of the mathematical results in assessments of optimization methods is demonstrated through examples of convergence in probability of random search. Methodological issues concerning construction and applicability of stochastic global optimization methods are discussed, including the one-step optimal average improvement method based on a statistical model of the objective function. A significant portion of this book is devoted to an analysis of high-dimensional global optimization problems and the so-called ‘curse of dimensionality’. An examination of the three different classes of high-dimensional optimization problems, the geometry of high-dimensional balls and cubes, very slow convergence of global random search algorithms in large-dimensional problems , and poor uniformity of the uniformly distributed sequences of points are included in this book.

Frontiers in Global Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 146130251X
Total Pages : 590 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Frontiers in Global Optimization by : Christodoulos A. Floudas

Download or read book Frontiers in Global Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global Optimization has emerged as one of the most exciting new areas of mathematical programming. Global optimization has received a wide attraction from many fields in the past few years, due to the success of new algorithms for addressing previously intractable problems from diverse areas such as computational chemistry and biology, biomedicine, structural optimization, computer sciences, operations research, economics, and engineering design and control. This book contains refereed invited papers submitted at the 4th international confer ence on Frontiers in Global Optimization held at Santorini, Greece during June 8-12, 2003. Santorini is one of the few sites of Greece, with wild beauty created by the explosion of a volcano which is in the middle of the gulf of the island. The mystic landscape with its numerous mult-extrema, was an inspiring location particularly for researchers working on global optimization. The three previous conferences on "Recent Advances in Global Opti mization", "State-of-the-Art in Global Optimization", and "Optimization in Computational Chemistry and Molecular Biology: Local and Global approaches" took place at Princeton University in 1991, 1995, and 1999, respectively. The papers in this volume focus on de terministic methods for global optimization, stochastic methods for global optimization, distributed computing methods in global optimization, and applications of global optimiza tion in several branches of applied science and engineering, computer science, computational chemistry, structural biology, and bio-informatics.

Derivative-free DIRECT-type Global Optimization

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Publisher : Springer Nature
ISBN 13 : 3031465377
Total Pages : 131 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Derivative-free DIRECT-type Global Optimization by : Linas Stripinis

Download or read book Derivative-free DIRECT-type Global Optimization written by Linas Stripinis and published by Springer Nature. This book was released on 2023-12-29 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: After providing an in-depth introduction to derivative-free global optimization with various constraints, this book presents new original results from well-known experts on the subject. A primary focus of this book is the well-known class of deterministic DIRECT (DIviding RECTangle)-type algorithms. This book describes a new set of algorithms derived from newly developed partitioning, sampling, and selection approaches in the box- and generally-constrained global optimization, including extensions to multi-objective optimization. DIRECT-type optimization algorithms are discussed in terms of fundamental principles, potential, and boundaries of their applicability. The algorithms are analyzed from various perspectives to offer insight into their main features. This explains how and why they are effective at solving optimization problems. As part of this book, the authors also present several techniques for accelerating the DIRECT-type algorithms through parallelization and implementing efficient data structures by revealing the pros and cons of the design challenges involved. A collection of DIRECT-type algorithms described and analyzed in this book is available in DIRECTGO, a MATLAB toolbox on GitHub. Lastly, the authors demonstrate the performance of the algorithms for solving a wide range of global optimization problems with various constraints ranging from a few to hundreds of variables. Additionally, well-known practical problems from the literature are used to demonstrate the effectiveness of the developed algorithms. It is evident from these numerical results that the newly developed approaches are capable of solving problems with a wide variety of structures and complexity levels. Since implementations of the algorithms are publicly available, this monograph is full of examples showing how to use them and how to choose the most efficient ones, depending on the nature of the problem being solved. Therefore, many specialists, students, researchers, engineers, economists, computer scientists, operations researchers, and others will find this book interesting and helpful.

Handbook of Global Optimization

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Publisher : Springer Science & Business Media
ISBN 13 : 1461520258
Total Pages : 891 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Handbook of Global Optimization by : R. Horst

Download or read book Handbook of Global Optimization written by R. Horst and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 891 pages. Available in PDF, EPUB and Kindle. Book excerpt: Global optimization is concerned with the computation and characterization of global optima of nonlinear functions. During the past three decades the field of global optimization has been growing at a rapid pace, and the number of publications on all aspects of global optimization has been increasing steadily. Many applications, as well as new theoretical, algorithmic, and computational contributions have resulted. The Handbook of Global Optimization is the first comprehensive book to cover recent developments in global optimization. Each contribution in the Handbook is essentially expository in nature, but scholarly in its treatment. The chapters cover optimality conditions, complexity results, concave minimization, DC programming, general quadratic programming, nonlinear complementarity, minimax problems, multiplicative programming, Lipschitz optimization, fractional programming, network problems, trajectory methods, homotopy methods, interval methods, and stochastic approaches. The Handbook of Global Optimization is addressed to researchers in mathematical programming, as well as all scientists who use optimization methods to model and solve problems.

Advances in Stochastic and Deterministic Global Optimization

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Publisher : Springer
ISBN 13 : 3319299751
Total Pages : 296 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Advances in Stochastic and Deterministic Global Optimization by : Panos M. Pardalos

Download or read book Advances in Stochastic and Deterministic Global Optimization written by Panos M. Pardalos and published by Springer. This book was released on 2016-11-04 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Current research results in stochastic and deterministic global optimization including single and multiple objectives are explored and presented in this book by leading specialists from various fields. Contributions include applications to multidimensional data visualization, regression, survey calibration, inventory management, timetabling, chemical engineering, energy systems, and competitive facility location. Graduate students, researchers, and scientists in computer science, numerical analysis, optimization, and applied mathematics will be fascinated by the theoretical, computational, and application-oriented aspects of stochastic and deterministic global optimization explored in this book. This volume is dedicated to the 70th birthday of Antanas Žilinskas who is a leading world expert in global optimization. Professor Žilinskas's research has concentrated on studying models for the objective function, the development and implementation of efficient algorithms for global optimization with single and multiple objectives, and application of algorithms for solving real-world practical problems.

Proceedings of the international conference "“NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS”

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Publisher : Luigi Pellegrini Editore
ISBN 13 : 8868220334
Total Pages : 152 pages
Book Rating : 4.8/5 (682 download)

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Book Synopsis Proceedings of the international conference "“NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS” by : Yaroslav D. Sergeyev

Download or read book Proceedings of the international conference "“NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS” written by Yaroslav D. Sergeyev and published by Luigi Pellegrini Editore. This book was released on 2013-06-27 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains Proceedings of the International Conference and Summer School NUMTA-2013 “Numerical Computations: Theory and Algorithms”. The Conference is organized jointly by the University of Calabria, Italy, and by the N.I. Lobachevsky State University of Nizhni Novgorod, Russia in cooperation with the Society for Industrial and Applied Mathematics (SIAM), USA. The goal of the Conference is to create a multidisciplinary round table for an open discussion on numerical modeling nature by using traditional and emerging computational paradigms. The Conference discusses all aspects of numerical computations and modeling from foundations and philosophy to advanced numerical techniques. New technological challenges and fundamental ideas from theoretical computer science, linguistic, logic, set theory, and philosophy meet requirements and new fresh applications from physics, chemistry, biology, and economy.

Computational Science and Its Applications - ICCSA 2014

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Publisher : Springer
ISBN 13 : 3319091298
Total Pages : 796 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Computational Science and Its Applications - ICCSA 2014 by : Beniamino Murgante

Download or read book Computational Science and Its Applications - ICCSA 2014 written by Beniamino Murgante and published by Springer. This book was released on 2014-07-03 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt: The six-volume set LNCS 8579-8584 constitutes the refereed proceedings of the 14th International Conference on Computational Science and Its Applications, ICCSA 2014, held in Guimarães, Portugal, in June/July 2014. The 347 revised papers presented in 30 workshops and a special track were carefully reviewed and selected from 1167. The 289 papers presented in the workshops cover various areas in computational science ranging from computational science technologies to specific areas of computational science such as computational geometry and security.

Computational Science and Its Applications -- ICCSA 2012

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Publisher : Springer
ISBN 13 : 3642311377
Total Pages : 765 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Computational Science and Its Applications -- ICCSA 2012 by : Beniamino Murgante

Download or read book Computational Science and Its Applications -- ICCSA 2012 written by Beniamino Murgante and published by Springer. This book was released on 2012-06-15 with total page 765 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four-volume set LNCS 7333-7336 constitutes the refereed proceedings of the 12th International Conference on Computational Science and Its Applications, ICCSA 2012, held in Salvador de Bahia, Brazil, in June 2012. The four volumes contain papers presented in the following workshops: 7333 - advances in high performance algorithms and applications (AHPAA); bioinspired computing and applications (BIOCA); computational geometry and applicatons (CGA); chemistry and materials sciences and technologies (CMST); cities, technologies and planning (CTP); 7334 - econometrics and multidimensional evaluation in the urban environment (EMEUE); geographical analysis, urban modeling, spatial statistics (Geo-An-Mod); 7335 - optimization techniques and applications (OTA); mobile communications (MC); mobile-computing, sensind and actuation for cyber physical systems (MSA4CPS); remote sensing (RS); 7336 - software engineering processes and applications (SEPA); software quality (SQ); security and privacy in computational sciences (SPCS); soft computing and data engineering (SCDE). The topics of the fully refereed papers are structured according to the four major conference themes: 7333 - computational methods, algorithms and scientific application; 7334 - geometric modelling, graphics and visualization; 7335 - information systems and technologies; 7336 - high performance computing and networks.

Black Box Optimization, Machine Learning, and No-Free Lunch Theorems

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Publisher : Springer Nature
ISBN 13 : 3030665151
Total Pages : 388 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Black Box Optimization, Machine Learning, and No-Free Lunch Theorems by : Panos M. Pardalos

Download or read book Black Box Optimization, Machine Learning, and No-Free Lunch Theorems written by Panos M. Pardalos and published by Springer Nature. This book was released on 2021-05-27 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume illustrates the connections between machine learning techniques, black box optimization, and no-free lunch theorems. Each of the thirteen contributions focuses on the commonality and interdisciplinary concepts as well as the fundamentals needed to fully comprehend the impact of individual applications and problems. Current theoretical, algorithmic, and practical methods used are provided to stimulate a new effort towards innovative and efficient solutions. The book is intended for beginners who wish to achieve a broad overview of optimization methods and also for more experienced researchers as well as researchers in mathematics, optimization, operations research, quantitative logistics, data analysis, and statistics, who will benefit from access to a quick reference to key topics and methods. The coverage ranges from mathematically rigorous methods to heuristic and evolutionary approaches in an attempt to equip the reader with different viewpoints of the same problem.

Optimization, Control, and Applications in the Information Age

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Publisher : Springer
ISBN 13 : 3319185675
Total Pages : 413 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Optimization, Control, and Applications in the Information Age by : Athanasios Migdalas

Download or read book Optimization, Control, and Applications in the Information Age written by Athanasios Migdalas and published by Springer. This book was released on 2015-07-30 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in theory, algorithms, and applications in optimization and control are discussed in this proceedings, based on selected talks from the ‘Optimization Control and Applications in the Information Age’ conference, organized in honor of Panos Pardalos’s 60th birthday. This volume contains numerous applications to optimal decision making in energy production and fuel management, data mining, logistics, supply chain management, market network analysis, risk analysis, and community network analysis. In addition, a short biography is included describing Dr. Pardalos’s path from a shepherd village on the high mountains of Thessaly to academic success. Due to the wide range of topics such as global optimization, combinatorial optimization, game theory, stochastics and programming contained in this publication, scientists, researchers, and students in optimization, operations research, analytics, mathematics and computer science will be interested in this volume.

Learning and Intelligent Optimization

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Publisher : Springer
ISBN 13 : 3319694049
Total Pages : 390 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Learning and Intelligent Optimization by : Roberto Battiti

Download or read book Learning and Intelligent Optimization written by Roberto Battiti and published by Springer. This book was released on 2017-10-25 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 11th International Conference on Learning and Intelligent Optimization, LION 11, held in Nizhny,Novgorod, Russia, in June 2017. The 20 full papers (among these one GENOPT paper) and 15 short papers presented have been carefully reviewed and selected from 73 submissions. The papers explore the advanced research developments in such interconnected fields as mathematical programming, global optimization, machine learning, and artificial intelligence. Special focus is given to advanced ideas, technologies, methods, and applications in optimization and machine learning.

Mathematical Optimization Theory and Operations Research

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Publisher : Springer Nature
ISBN 13 : 3030778762
Total Pages : 510 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Mathematical Optimization Theory and Operations Research by : Panos Pardalos

Download or read book Mathematical Optimization Theory and Operations Research written by Panos Pardalos and published by Springer Nature. This book was released on 2021-06-14 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 20th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2021, held in Irkutsk, Russia, in July 2021. The 29 full papers and 1 short paper presented in this volume were carefully reviewed and selected from 102 submissions. Additionally, 2 full invited papers are presented in the volume. The papers are grouped in the following topical sections: ​combinatorial optimization; mathematical programming; bilevel optimization; scheduling problems; game theory and optimal control; operational research and mathematical economics; data analysis.