{"product_id":"linear-programming-and-network-flows-9780470462720","title":"Linear Programming and Network Flows","description":"\u003cp\u003e • Author(s): Mokhtar S. Bazaraa\u003cbr\u003e • Publisher: Wiley\u003cbr\u003e • Publisher Imprint: Wiley\u003cbr\u003e • BISAC: Applied\u003c\/p\u003e\u003cp\u003e\u003cb\u003eThe authoritative guide to modeling and solving complex problems with linear programming—extensively revised, expanded, and updated\u003c\/b\u003e  \u003c\/p\u003e\u003cp\u003eThe only book to treat both linear programming techniques and network flows under one cover, \u003ci\u003eLinear Programming and Network Flows, Fourth Edition\u003c\/i\u003e has been completely updated with the latest developments on the topic. This new edition continues to successfully emphasize modeling concepts, the design and analysis of algorithms, and implementation strategies for problems in a variety of fields, including industrial engineering, management science, operations research, computer science, and mathematics.\u003c\/p\u003e \u003cp\u003eThe book begins with basic results on linear algebra and convex analysis, and a geometrically motivated study of the structure of polyhedral sets is provided. Subsequent chapters include coverage of cycling in the simplex method, interior point methods, and sensitivity and parametric analysis. Newly added topics in the \u003ci\u003eFourth Edition\u003c\/i\u003e include:\u003c\/p\u003e  * \u003cp\u003eThe cycling phenomenon in linear programming and the geometry of cycling\u003c\/p\u003e  * \u003cp\u003eDuality relationships with cycling\u003c\/p\u003e  * \u003cp\u003eElaboration on stable factorizations and implementation strategies\u003c\/p\u003e  * \u003cp\u003eStabilized column generation and acceleration of Benders and Dantzig-Wolfe decomposition methods\u003c\/p\u003e  * \u003cp\u003eLine search and dual ascent ideas for the out-of-kilter algorithm\u003c\/p\u003e  * \u003cp\u003eHeap implementation comments, negative cost circuit insights, and additional convergence analyses for shortest path problems\u003c\/p\u003e   \u003cp\u003eThe authors present concepts and techniques that are illustrated by numerical examples along with insights complete with detailed mathematical analysis and justification. An emphasis is placed on providing geometric viewpoints and economic interpretations as well as strengthening the understanding of the fundamental ideas. Each chapter is accompanied by \u003ci\u003eNotes\u003c\/i\u003e and \u003ci\u003eReferences\u003c\/i\u003e sections that provide historical developments in addition to current and future trends. Updated exercises allow readers to test their comprehension of the presented material, and extensive references provide resources for further study.\u003c\/p\u003e \u003cp\u003e\u003ci\u003eLinear Programming and Network Flows, Fourth Edition\u003c\/i\u003e is an excellent book for linear programming and network flow courses at the upper-undergraduate and graduate levels. It is also a valuable resource for applied scientists who would like to refresh their understanding of linear programming and network flow techniques.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Hardcover","offer_id":45201795547287,"sku":"9780470462720","price":14649.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780470462720.webp?v=1767307618","url":"https:\/\/atlanticbooks.com\/products\/linear-programming-and-network-flows-9780470462720","provider":"Atlantic Books","version":"1.0","type":"link"}