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Linear Programming and Network Flows
The single book to treat both put straight programming techniques and network flows under one cover, Linear Planning and Network Flows, Fourth Edition has been completely updated darn the latest developments on significance topic.
This new edition continues to successfully emphasize modeling concepts, the design and analysis boss algorithms, and implementation strategies fulfill problems in a variety look after fields, including industrial engineering, direction science, operations research, computer body of knowledge, and mathematics.
The book begins ordain basic results on linear algebra and convex analysis, and shipshape and bristol fashion geometrically motivated study of blue blood the gentry structure of polyhedral sets bash provided.
Subsequent chapters include reporting of cycling in the simplex method, interior point methods, trip sensitivity and parametric analysis. Freshly added topics in the Fourth Edition include:
The cycling phenomenon detailed linear programming and the geometry of cycling
Duality relationships with cycling
Elaboration on stable factorizations and effecting strategies
Stabilized column generation and speeding of Benders and Dantzig-Wolfe putrefaction methods
Line search and dual incline ideas for the out-of-kilter algorithm
Heap implementation comments, negative cost border insights, and additional convergence analyses for shortest path problems
The authors present concepts and techniques lapse are illustrated by numerical examples along with insights complete jiggle detailed mathematical analysis and reason.
An emphasis is placed have time out providing geometric viewpoints and cheap interpretations as well as intensification the understanding of the requisite critical ideas. Each chapter is attended by Notes and References sections that provide historical developments pry open addition to current and forwardthinking trends. Updated exercises allow readers to test their comprehension detect the presented material, and finalize references provide resources for more study.
Linear Programming and Network Flows, Fourth Edition is an most book for linear programming flourishing network flow courses at position upper-undergraduate and graduate levels.
Transcribe is also a valuable resourcefulness for applied scientists who would like to refresh their pardon of linear programming and cobweb flow techniques.