Linear Network Optimization


Download Linear Network Optimization PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Linear Network Optimization book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.

Download

Linear Network Optimization


Linear Network Optimization

Author: Dimitri P. Bertsekas

language: en

Publisher: MIT Press

Release Date: 1991


DOWNLOAD





Linear Network Optimization presents a thorough treatment of classical approaches to network problems such as shortest path, max-flow, assignment, transportation, and minimum cost flow problems.

Network Optimization Problems: Algorithms, Applications And Complexity


Network Optimization Problems: Algorithms, Applications And Complexity

Author: Ding-zhu Du

language: en

Publisher: World Scientific

Release Date: 1993-04-27


DOWNLOAD





In the past few decades, there has been a large amount of work on algorithms for linear network flow problems, special classes of network problems such as assignment problems (linear and quadratic), Steiner tree problem, topology network design and nonconvex cost network flow problems.Network optimization problems find numerous applications in transportation, in communication network design, in production and inventory planning, in facilities location and allocation, and in VLSI design.The purpose of this book is to cover a spectrum of recent developments in network optimization problems, from linear networks to general nonconvex network flow problems./a

Large Scale Linear and Integer Optimization: A Unified Approach


Large Scale Linear and Integer Optimization: A Unified Approach

Author: Richard Kipp Martin

language: en

Publisher: Springer Science & Business Media

Release Date: 2012-12-06


DOWNLOAD





This is a textbook about linear and integer linear optimization. There is a growing need in industries such as airline, trucking, and financial engineering to solve very large linear and integer linear optimization problems. Building these models requires uniquely trained individuals. Not only must they have a thorough understanding of the theory behind mathematical programming, they must have substantial knowledge of how to solve very large models in today's computing environment. The major goal of the book is to develop the theory of linear and integer linear optimization in a unified manner and then demonstrate how to use this theory in a modern computing environment to solve very large real world problems. After presenting introductory material in Part I, Part II of this book is de voted to the theory of linear and integer linear optimization. This theory is developed using two simple, but unifying ideas: projection and inverse projec tion. Through projection we take a system of linear inequalities and replace some of the variables with additional linear inequalities. Inverse projection, the dual of this process, involves replacing linear inequalities with additional variables. Fundamental results such as weak and strong duality, theorems of the alternative, complementary slackness, sensitivity analysis, finite basis the orems, etc. are all explained using projection or inverse projection. Indeed, a unique feature of this book is that these fundamental results are developed and explained before the simplex and interior point algorithms are presented.