A Computer Assisted Analysis System For Mathematical Programming Models And Solutions
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A Computer Assisted Analysis System For Mathematical Programming Models And Solutions
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Author : H.J. Greenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A Computer Assisted Analysis System For Mathematical Programming Models And Solutions written by H.J. Greenberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
Welcome to ANALYZE, designed to provide computer assistance for analyzing linear programs and their solutions. Chapter 1 gives an overview of ANALYZE and how to install it. It also describes how to get started and how to obtain further documentation and help on-line. Chapter 2 reviews the forms of linear programming models and describes the syntax of a model. One of the routine, but important, functions of ANALYZE is to enable convenient access to rows and columns in the matrix by conditional delineation. Chapter 3 illustrates simple queries, like DISPLAY, LIST, and PICTURE. This chapter also introduces the SUBMAT command level to define any submatrix by an arbitrary sequence of additions, deletions and reversals. Syntactic explanations and a schema view are also illustrated. Chapter 4 goes through some elementary exercises to demonstrate computer assisted analysis and introduce additional conventions of the ANALYZE language. Besides simple queries, it demonstrates the INTERPRT command, which automates the analysis process and gives English explanations of results. The last 2 exercises are diagnoses of elementary infeasible instances of a particular model. Chapter 5 progresses to some advanced uses of ANALYZE. The first is blocking to obtain macro views of the model and for finding embedded substructures, like a netform. The second is showing rates of substitution described by the basic equations. Then, the use of the REDUCE and BASIS commands are illustrated for a variety of applications, including solution analysis, infeasibility diagnosis, and redundancy detection.
Harvey J Greenberg
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Author : Allen Holder
language : en
Publisher: Springer Nature
Release Date : 2020-11-20
Harvey J Greenberg written by Allen Holder and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-20 with Business & Economics categories.
This volume chronicles the high impact research career of Harvey Greenberg (1940-2018), and in particular, it reviews historical contributions, presents current research projects, and suggests future pursuits. This volume addresses several of his most distinguished hallmarks, including model analysis, model generation, infeasibility diagnosis, sensitivity analysis, parametric programming, energy modeling, and computational biology. There is also an overview chapter on the emergence of computational OR, and in particular, how literature venues have changed the course of OR research. He developed Computer-Assisted Analysis in the 1970s and 80s, creating an artificially intelligent environment for analyzing mathematical programming models and their results. This earned him the first INFORMS Computing Society (ICS) Prize for "research excellence in the interfaces between operations research and computer science" in 1986, notably for his software system, ANALYZE. In 1993, he wrote the first book in the Springer OR/CS Series entitled A Computer-Assisted Analysis System for Mathematical Programming Models and Solutions: A User’s Guide for ANALYZE. He applied OR methods to CS problems, ranging from using queuing theory for optimal list structure design to using integer programming for bioinformatic database search. He also applied CS to OR problems, ranging from super-sparse information structures to the use of compiler design in ANALYZE. This book can serve as a guide to new researchers, and will report the historical trajectory of OR as it solves current problems and forecasts future applications through the accomplishments of Harvey Greenberg.
Mathematical Modeling And Optimization
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Author : Tony Hürlimann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Mathematical Modeling And Optimization written by Tony Hürlimann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
Computer-based mathematical modeling - the technique of representing and managing models in machine-readable form - is still in its infancy despite the many powerful mathematical software packages already available which can solve astonishingly complex and large models. On the one hand, using mathematical and logical notation, we can formulate models which cannot be solved by any computer in reasonable time - or which cannot even be solved by any method. On the other hand, we can solve certain classes of much larger models than we can practically handle and manipulate without heavy programming. This is especially true in operations research where it is common to solve models with many thousands of variables. Even today, there are no general modeling tools that accompany the whole modeling process from start to finish, that is to say, from model creation to report writing. This book proposes a framework for computer-based modeling. More precisely, it puts forward a modeling language as a kernel representation for mathematical models. It presents a general specification for modeling tools. The book does not expose any solution methods or algorithms which may be useful in solving models, neither is it a treatise on how to build them. No help is intended here for the modeler by giving practical modeling exercises, although several models will be presented in order to illustrate the framework. Nevertheless, a short introduction to the modeling process is given in order to expound the necessary background for the proposed modeling framework.
Mathematical Models For Decision Support
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Author : Harvey J. Greenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Models For Decision Support written by Harvey J. Greenberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
It is quite an onerous task to edit the proceedings of a two week long institute with learned contributors from many parts of the world. All the same, the editorial team has found the process of refereeing and reviewing the contributions worthwhile and completing the volume has proven to be a satisfying task. In setting up the institute we had considered models and methods taken from a number of different disciplines. As a result the whole institute - preparing for it, attending it and editing the proceedings - proved to be an intense learning experience for us. Here I speak on behalf of the committee and the editorial team. By the time the institute took place, the papers were delivered and the delegates exchanged their views, the structure of the topics covered and their relative positioning appeared in a different light. In editing the volume I felt compelled to introduce a new structure in grouping the papers. The contents of this volume are organised in eight main sections set out below: 1 . Abstracts. 2. Review Paper. 3. Models with Multiple Criteria and Single or Multiple Decision Makers. 4. Use of Optimisation Models as Decision Support Tools. 5. Role of Information Systems in Decision Making: Database and Model Management Issues. 6. Methods of Artificial Intelligence in Decision Making: Intelligent Knowledge Based Systems. 7. Representation of Uncertainty in Mathematical Models and Knowledge Based Systems. 8. Mathematical Basis for Constructing Models and Model Validation.
Feasibility And Infeasibility In Optimization
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Author : John W. Chinneck
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-25
Feasibility And Infeasibility In Optimization written by John W. Chinneck and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-25 with Mathematics categories.
Written by a world leader in the field and aimed at researchers in applied and engineering sciences, this brilliant text has as its main goal imparting an understanding of the methods so that practitioners can make immediate use of existing algorithms and software, and so that researchers can extend the state of the art and find new applications. It includes algorithms on seeking feasibility and analyzing infeasibility, as well as describing new and surprising applications.
The Vehicle Routing Problem Latest Advances And New Challenges
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Author : Bruce L. Golden
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-07-20
The Vehicle Routing Problem Latest Advances And New Challenges written by Bruce L. Golden and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-20 with Business & Economics categories.
Theoretical research and practical applications in the ?eld of vehicle routing started in 1959 with the truck dispatching problem posed by Dantzig and Ramser [1]: ?nd the “. . . optimum routing of a ?eet of gasoline delivery trucks between a bulk terminal and a large number of service stations supplied by the terminal. ” Using a method based on a linear programming formulation, their hand calculations produced a near-optimal solution with four routes to aproblemwithtwelve service stations. The authorsproclaimed:“Nopractical applications of the method have been made as yet. ” In the nearly 50 years since the Dantzig and Ramser paper appeared, work in the ?eld has exploded dramatically. Today, a Google Scholar search of the words vehicle routing problem (VRP) yields more than 21,700 entries. The June 2006 issue of OR/MS Today provided a survey of 17 vendors of commercial routing software whose packages are currently capable of solving average-size problems with 1,000 stops, 50 routes, and two-hour hard-time windows in two to ten minutes [2]. In practice, vehicle routing may be the single biggest success story in operations research. For example, each day 103,500 drivers at UPS follow computer-generated routes. The drivers visit 7. 9 million customers and handle an average of 15. 6 million packages [3].
Intelligent Scheduling Systems
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Author : Donald E. Brown
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Intelligent Scheduling Systems written by Donald E. Brown and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
Scheduling is a resource allocation problem which exists in virtually every type of organization. Scheduling problems have produced roughly 40 years of research primarily within the OR community. This community has traditionally emphasized mathematical modeling techniques which seek exact solutions to well formulated optimization problems. While this approach produced important results, many contemporary scheduling problems are particularly difficult. Hence, over the last ten years operations researchers interested in scheduling have turned increasingly to more computer intensive and heuristic approaches. At roughly the same time, researchers in AI began to focus their methods on industrial and management science applications. The result of this confluence of fields has been a period of remarkable growth and excitement in scheduling research. Intelligent Scheduling Systems captures the results of a new wave of research at the forefront of scheduling research, of interest to researchers and practitioners alike. Presented are an array of the latest contemporary tools -- math modeling to tabu search to genetic algorithms -- that can assist in operational scheduling and solve difficult scheduling problems. The book presents the most recent research results from both operations research (OR) and artificial intelligence (AI) focusing their efforts on real scheduling problems.
Perspectives In Operations Research
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Author : Frank B. Alt
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-26
Perspectives In Operations Research written by Frank B. Alt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-26 with Business & Economics categories.
A Symposium was held on February 25, 2006 in honor of the 80th birthday of Saul I. Gass and his major contributions to the field of operations research over 50 years. This volume includes articles from each of the Symposium speakers plus 16 other articles from friends, colleagues, and former students. Each contributor offers a forward-looking perspective on the future development of the field.
Operations Research And Cyber Infrastructure
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Author : John W. Chinneck
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-01-05
Operations Research And Cyber Infrastructure written by John W. Chinneck and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-05 with Computers categories.
Operations Research and Cyber-Infrastructure is the companion volume to the Eleventh INFORMS Computing Society Conference (ICS 2009), held in Charleston, South Carolina, from January 11 to 13, 2009. It includes 24 high-quality refereed research papers. As always, the focus of interest for ICS is the interface between Operations Research and Computer Science, and the papers in this volume reflect that interest. This is naturally an evolving area as computational power increases rapidly while decreasing in cost even more quickly, and the papers included here illustrate the wide range of topics at this interface.
The Impact Of Emerging Technologies On Computer Science And Operations Research
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Author : Stephen G. Nash
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Impact Of Emerging Technologies On Computer Science And Operations Research written by Stephen G. Nash and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
The emergence of high-performance computers and sophisticated software tech nology has led to significant advances in the development and application of operations research. In turn, the growing complexity of operations research models has posed an increasing challenge to computational methodology and computer technology. This volume focuses on recent advances in the fields of Computer Science and Operations Research, on the impact of technologi cal innovation on these disciplines, and on the close interaction between them. The papers cover many relevant topics: computational probability; design and analysis of algorithms; graphics; heuristic search and learning; knowledge-based systems; large-scale optimization; logic modeling and computation; modeling languages; parallel computation; simulation; and telecommunications. 1 This volume developed out of a conference held in Williamsburg, Virginia, January 5-7, 1994. It was sponsored by the Computer Science Technical Section of the Operations Research Society of America. The conference was attended by over 120 people from across the United States, and from many other countries. We would like to take this opportunity to thank the participants of the con ference, the authors, the anonymous referees, and the publisher for helping produce this volume. We express our special thanks to Bill Stewart and Ed Wasil for serving as Area Editors.