Linear Programming 1 Introduction
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Linear Programming 1
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Author : George B. Dantzig
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-06
Linear Programming 1 written by George B. Dantzig 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 2006-04-06 with Business & Economics categories.
Encompassing all the major topics students will encounter in courses on the subject, the authors teach both the underlying mathematical foundations and how these ideas are implemented in practice. They illustrate all the concepts with both worked examples and plenty of exercises, and, in addition, provide software so that students can try out numerical methods and so hone their skills in interpreting the results. As a result, this will make an ideal textbook for all those coming to the subject for the first time. Authors' note: A problem recently found with the software is due to a bug in Formula One, the third party commercial software package that was used for the development of the interface. It occurs when the date, currency, etc. format is set to a non-United States version. Please try setting your computer date/currency option to the United States option . The new version of Formula One, when ready, will be posted on WWW.
Linear Programming Using Matlab
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Author : Nikolaos Ploskas
language : en
Publisher: Springer
Release Date : 2017-10-28
Linear Programming Using Matlab written by Nikolaos Ploskas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-28 with Mathematics categories.
This book offers a theoretical and computational presentation of a variety of linear programming algorithms and methods with an emphasis on the revised simplex method and its components. A theoretical background and mathematical formulation is included for each algorithm as well as comprehensive numerical examples and corresponding MATLAB® code. The MATLAB® implementations presented in this book are sophisticated and allow users to find solutions to large-scale benchmark linear programs. Each algorithm is followed by a computational study on benchmark problems that analyze the computational behavior of the presented algorithms. As a solid companion to existing algorithmic-specific literature, this book will be useful to researchers, scientists, mathematical programmers, and students with a basic knowledge of linear algebra and calculus. The clear presentation enables the reader to understand and utilize all components of simplex-type methods, such as presolve techniques, scaling techniques, pivoting rules, basis update methods, and sensitivity analysis.
Strategic Allocation Of Resources Using Linear Programming Model With Parametric Analysis In Matlab And Excel Solver
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Author : Dinesh Gupta
language : en
Publisher: Anchor Academic Publishing (aap_verlag)
Release Date : 2014-05-27
Strategic Allocation Of Resources Using Linear Programming Model With Parametric Analysis In Matlab And Excel Solver written by Dinesh Gupta and has been published by Anchor Academic Publishing (aap_verlag) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-27 with Computers categories.
Since the late 1940s, linear programming models have been used for many different purposes. Airline companies apply these models to optimize their use of planes and staff. NASA has been using them for many years to optimize their use of limited resources. Oil companies use them to optimize their refinery operations. Small and medium-sized businesses use linear programming to solve a huge variety of problems, often involving resource allocation. In my study, a typical product-mix problem in a manufacturing system producing two products (each product consists of two sub-assemblies) is solved for its optimal solution through the use of the latest versions of MATLAB having the command simlp, which is very much like linprog. As analysts, we try to find a good enough solution for the decision maker to make a final decision. Our attempt is to give the mathematical description of the product-mix optimization problem and bring the problem into a form ready to call MATLAB’s simlp command. The objective of this study is to find the best product mix that maximizes profit. The graph obtained using MATLAB commands, give the shaded area enclosed by the constraints called the feasible region, which is the set of points satisfying all the constraints. To find the optimal solution we look at the lines of equal profit to find the corner of the feasible region which yield the highest profit. This corner can be found out at the farthest line of equal profit, which still touches the feasible region. The most critical part is the sensitivity analysis, using Excel Solver, and Parametric Analysis, using computer software, which allows us to study the effect on optimal solution due to discrete and continuous change in parameters of the LP model including to identify bottlenecks. We have examined other options like product outsourcing, one-time cost, cross training of one operator, manufacturing of hypothetical third product on under-utilized machines and optimal sequencing of jobs on machines.
Integer Programming
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Author :
language : en
Publisher: Academic Press
Release Date : 1971-05-14
Integer Programming written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-05-14 with Mathematics categories.
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Constraint And Integer Programming
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Author : Michela Milano
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-11-30
Constraint And Integer Programming written by Michela Milano 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 2003-11-30 with Computers categories.
Constraint and Integer Programming presents some of the basic ideas of constraint programming and mathematical programming, explores approaches to integration, brings us up to date on heuristic methods, and attempts to discern future directions in this fast-moving field.
Introduction To Practical Linear Programming
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Author : David J. Pannell
language : en
Publisher: Wiley-Interscience
Release Date : 1997
Introduction To Practical Linear Programming written by David J. Pannell and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Business & Economics categories.
A comprehensive, nonmathematical guide to the practical application of linear programming models—for students and professionals in any field From finding the least-cost method for manufacturing a given product to determining the most profitable use for a given resource, there are countless practical applications for linear programming models. This self-contained book and disk set provides everything you need to know to apply linear programming to real-world situations—how to prepare input, how to interpret output, what to do if the model will not solve, and how to make your results useful and usable—while entrusting the hard-core arithmetic to the user-friendly computer package on disk. Written in clear prose that stays away from the complex mathematics underlying the technique, Introduction to Practical Linear Programming contains: A complete introduction to problem structure, assumptions, applications, and other core concepts A detailed, step-by-step guide to model construction (from a problem description to a useful model) and interpretation of output Linear programming examples and exercises from a range of real-life areas, including agriculture, manufacturing, finance, and advertising Important techniques for troubleshooting and error identification Procedures for testing how good your model is—how robust are the results?—and more System.
Integration Of Constraint Programming Artificial Intelligence And Operations Research
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Author : Louis-Martin Rousseau
language : en
Publisher: Springer
Release Date : 2019-05-28
Integration Of Constraint Programming Artificial Intelligence And Operations Research written by Louis-Martin Rousseau and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-28 with Mathematics categories.
This book constitutes the proceedings of the 16th International Conference on Integration of Constraint Programming, Artificial Intelligence, and Operations Research, CPAIOR 2019, held in Thessaloniki, Greece, in June 2019. The 34 full papers presented together with 9 short papers were carefully reviewed and selected from 94 submissions. The conference brings together interested researchers from Constraint Programming (CP), Artificial Intelligence (AI), and Operations Research (OR) to present new techniques or applications and to provide an opportunity for researchers in one area to learn about techniques in the others. A main objective of this conference series is also to give these researchers the opportunity to show how the integration of techniques from different fields can lead to interesting results on large and complex problems.
Linear Programming
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Author : Saul I. Gass
language : en
Publisher:
Release Date : 1964
Linear Programming written by Saul I. Gass and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Linear programming categories.
Linear Programming 1 Introduction
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Author : George Bernard Dantzig
language : en
Publisher:
Release Date : 1997
Linear Programming 1 Introduction written by George Bernard Dantzig and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Linear programming categories.
Theory Of Linear And Integer Programming
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Author : A. Schrijver
language : en
Publisher:
Release Date : 1986-12-29
Theory Of Linear And Integer Programming written by A. Schrijver and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-12-29 with Mathematics categories.
Introduction and preliminaries; Problems, algorithms, and complexity. Linear algebra; Linear algebra and complexity; Notes on linear algebra; Lattices and linear diophantine equations; Theory of lattices and linear diophantine equations; Algorithms for linear diophantine equations; Diophantine approximations and basis reduction; Notes on lattices and linear diophantine equations; Polyhedra, linear inequalities, and linear programming; Fundamental concepts and results on polyhedra, linear inequalities, and linear programming; The structure of polyhedra; Polarity, and blocking and anti-blocking polyhedra; Sizes and the theoretical complexity of linear inequalities and linear programming; The simplex method; Primal-dual, elimination, and relaxation methods; Khachiyan's method for linear programming; The ellipsoid method for polyhedra more generally; Further polynomiality results in linear programming; Notes on polyhedra, linear inequalities, and linear programming; Integer linear programming; Introduction to integer linear programming; Estimates in integer linear programming; The complexity of integer linear programming; Totally unimodular matrices: fundamental properties and examples; Recognizing total unimodularity; Further theory related to total unimodularity; Integral polyhedra and total dual integrality; Cutting planes; Further methods in integer linear programming; Historical and further notes on integer linear programming; References.