Calculus and Techniques of Optimization with Microeconomic Applications

Calculus and Techniques of Optimization with Microeconomic Applications PDF

Author: John Hoag

Publisher: World Scientific

Published: 2008

Total Pages: 389

ISBN-13: 9812774939

DOWNLOAD EBOOK →

This textbook is designed as a guide for students of mathematical economics, with the aim of providing them with a firm foundation for further studies in economics. A substantial portion of the mathematical tools required for the study of microeconomics at the graduate level is covered, in addition to the standard elements of microeconomics and various applications. Theorems and definitions are clearly explained with numerous exercises to complement the text and to help the student better understand and master the principles of mathematical economics.

Calculus And Techniques Of Optimization With Microeconomic Applications

Calculus And Techniques Of Optimization With Microeconomic Applications PDF

Author: John H Hoag

Publisher: World Scientific Publishing Company

Published: 2007-12-18

Total Pages: 389

ISBN-13: 9813107065

DOWNLOAD EBOOK →

This textbook is designed as a guide for students of mathematical economics, with the aim of providing them with a firm foundation for further studies in economics. A substantial portion of the mathematical tools required for the study of microeconomics at the graduate level is covered, in addition to the standard elements of microeconomics and various applications. Theorems and definitions are clearly explained with numerous exercises to complement the text and to help the student better understand and master the principles of mathematical economics.

Mathematical Analysis and Optimization for Economists

Mathematical Analysis and Optimization for Economists PDF

Author: Michael J. Panik

Publisher: CRC Press

Published: 2021-09-30

Total Pages: 343

ISBN-13: 1000408841

DOWNLOAD EBOOK →

In Mathematical Analysis and Optimization for Economists, the author aims to introduce students of economics to the power and versatility of traditional as well as contemporary methodologies in mathematics and optimization theory; and, illustrates how these techniques can be applied in solving microeconomic problems. This book combines the areas of intermediate to advanced mathematics, optimization, and microeconomic decision making, and is suitable for advanced undergraduates and first-year graduate students. This text is highly readable, with all concepts fully defined, and contains numerous detailed example problems in both mathematics and microeconomic applications. Each section contains some standard, as well as more thoughtful and challenging, exercises. Solutions can be downloaded from the CRC Press website. All solutions are detailed and complete. Features Contains a whole spectrum of modern applicable mathematical techniques, many of which are not found in other books of this type. Comprehensive and contains numerous and detailed example problems in both mathematics and economic analysis. Suitable for economists and economics students with only a minimal mathematical background. Classroom-tested over the years when the author was actively teaching at the University of Hartford. Serves as a beginner text in optimization for applied mathematics students. Accompanied by several electronic chapters on linear algebra and matrix theory, nonsmooth optimization, economic efficiency, and distance functions available for free on www.routledge.com/9780367759018.

Practical Optimization Methods

Practical Optimization Methods PDF

Author: M. Asghar Bhatti

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 721

ISBN-13: 1461205018

DOWNLOAD EBOOK →

This introductory textbook adopts a practical and intuitive approach, rather than emphasizing mathematical rigor. Computationally oriented books in this area generally present algorithms alone, and expect readers to perform computations by hand, and are often written in traditional computer languages, such as Basic, Fortran or Pascal. This book, on the other hand, is the first text to use Mathematica to develop a thorough understanding of optimization algorithms, fully exploiting Mathematica's symbolic, numerical and graphic capabilities.

Explicit Methods of Optimization

Explicit Methods of Optimization PDF

Author: P. Aubin

Publisher: Wiley

Published: 1987-12-29

Total Pages: 302

ISBN-13: 9780471918561

DOWNLOAD EBOOK →

Introduces the main results of optimization theory and its applications to microeconomics, without sacrificing mathematical rigor. Development takes place in a general mathematical framework, which ensures the existence, uniqueness, and stability of the solution to the optimization problem. Emphasis is on decomposition and decentralization, which enable complex optimization problems to be broken down into simpler problems; and on algorithms that allow iterative methods, which converge to the desired solution. Exposition is supported by many examples taken from economics.

Economic Models for Managing Cloud Services

Economic Models for Managing Cloud Services PDF

Author: Sajib Mistry

Publisher: Springer

Published: 2018-02-10

Total Pages: 141

ISBN-13: 3319738763

DOWNLOAD EBOOK →

The authors introduce both the quantitative and qualitative economic models as optimization tools for the selection of long-term cloud service requests. The economic models fit almost intuitively in the way business is usually done and maximize the profit of a cloud provider for a long-term period. The authors propose a new multivariate Hidden Markov and Autoregressive Integrated Moving Average (HMM-ARIMA) model to predict various patterns of runtime resource utilization. A heuristic-based Integer Linear Programming (ILP) optimization approach is developed to maximize the runtime resource utilization. It deploys a Dynamic Bayesian Network (DBN) to model the dynamic pricing and long-term operating cost. A new Hybrid Adaptive Genetic Algorithm (HAGA) is proposed that optimizes a non-linear profit function periodically to address the stochastic arrival of requests. Next, the authors explore the Temporal Conditional Preference Network (TempCP-Net) as the qualitative economic model to represent the high-level IaaS business strategies. The temporal qualitative preferences are indexed in a multidimensional k-d tree to efficiently compute the preference ranking at runtime. A three-dimensional Q-learning approach is developed to find an optimal qualitative composition using statistical analysis on historical request patterns. Finally, the authors propose a new multivariate approach to predict future Quality of Service (QoS) performances of peer service providers to efficiently configure a TempCP-Net. It discusses the experimental results and evaluates the efficiency of the proposed composition framework using Google Cluster data, real-world QoS data, and synthetic data. It also explores the significance of the proposed approach in creating an economically viable and stable cloud market. This book can be utilized as a useful reference to anyone who is interested in theory, practice, and application of economic models in cloud computing. This book will be an invaluable guide for small and medium entrepreneurs who have invested or plan to invest in cloud infrastructures and services. Overall, this book is suitable for a wide audience that includes students, researchers, and practitioners studying or working in service-oriented computing and cloud computing.

Dynamic Optimization, Second Edition

Dynamic Optimization, Second Edition PDF

Author: Morton I. Kamien

Publisher: Courier Corporation

Published: 2013-04-17

Total Pages: 402

ISBN-13: 0486310280

DOWNLOAD EBOOK →

Since its initial publication, this text has defined courses in dynamic optimization taught to economics and management science students. The two-part treatment covers the calculus of variations and optimal control. 1998 edition.

Multiscale Optimization Methods and Applications

Multiscale Optimization Methods and Applications PDF

Author: William W. Hager

Publisher: Springer Science & Business Media

Published: 2006-06-18

Total Pages: 416

ISBN-13: 038729550X

DOWNLOAD EBOOK →

As optimization researchers tackle larger and larger problems, scale interactions play an increasingly important role. One general strategy for dealing with a large or difficult problem is to partition it into smaller ones, which are hopefully much easier to solve, and then work backwards towards the solution of original problem, using a solution from a previous level as a starting guess at the next level. This volume contains 22 chapters highlighting some recent research. The topics of the chapters selected for this volume are focused on the development of new solution methodologies, including general multilevel solution techniques, for tackling difficult, large-scale optimization problems that arise in science and industry. Applications presented in the book include but are not limited to the circuit placement problem in VLSI design, a wireless sensor location problem, optimal dosages in the treatment of cancer by radiation therapy, and facility location.