Integer Programming In Operation Research
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Operations Research Problems
This book, now in its second edition, provides a valuable compendium of problems as a reference for undergraduate and graduate students, faculty, researchers and practitioners of operations research and management science. These problems can serve as a basis for the development or study of assignments and exams. Also, they can be useful as a guide for the first stage of the model formulation, i.e. the definition of a problem. The book is divided into 11 chapters that address the following topics: linear programming, integer programming, nonlinear programming, network modeling, inventory theory, queue theory, tree decision, game theory, dynamic programming and Markov processes. Included are a considerable number of statements of operations research applications for management decision-making. The book provides concise solutions to these problems although all problems are examined in depth. All the problems are based on the research experience of the authors in real-world companies and the teaching experience of the authors. This second edition of the book has many new problems and solutions influenced by today's evolving industrial engineering, management and decision-making practices. The book includes many new problems specifically designed to address today's business challenges. The new edition offers readers the opportunity to tackle and analyse new problems inspired by real-life scenarios.
Integer Programming
Integer Programming: Theory and Practice contains refereed articles that explore both theoretical aspects of integer programming as well as major applications. This volume begins with a description of new constructive and iterative search methods for solving the Boolean optimization problem (BOOP). Following a review of recent developments on convergent Lagrangian techniques that use objective level-cut and domain-cut methods to solve separable nonlinear integer-programming problems, the book discusses the generalized assignment problem (GAP). The final theoretical chapter analyzes the use of decomposition methods to obtain bounds on the optimal value of solutions to integer linear-programming problems. The first application article contains models and solution algorithms for the rescheduling of airlines following the temporary closure of airports. The next chapters deal with the determination of an optimal mix of chartered and self-owned vessels needed to transport a product. The book then presents an application of integer programming that involves the capture, storage, and transmission of large quantities of data collected during testing scenarios involving military applications related to vehicles, medicine, equipment, missiles, and aircraft. The next article develops an integer linear-programming model to determine the assortment of products that must be carried by stores within a retail chain to maximize profit, and the final article contains an overview of noncommercial software tools for the solution of mixed-integer linear programs (MILP). The authors purposefully include applications and theory that are usually not found in contributed books in order to appeal to a wide variety of researchers and practitioners.
Linear Programming and its Applications
Author: H.A. Eiselt
language: en
Publisher: Springer Science & Business Media
Release Date: 2007-08-15
In the pages of this text readers will find nothing less than a unified treatment of linear programming. Without sacrificing mathematical rigor, the main emphasis of the book is on models and applications. The most important classes of problems are surveyed and presented by means of mathematical formulations, followed by solution methods and a discussion of a variety of "what-if" scenarios. Non-simplex based solution methods and newer developments such as interior point methods are covered.