By Der-San Chen,Robert G. Batson,Yu Dang
In order to completely understand the algorithms linked to integer programming, it is very important comprehend not just how algorithms paintings, but in addition why they paintings. Applied Integer Programming includes a distinct emphasis in this element, targeting challenge modeling and resolution utilizing advertisement software program. Taking an application-oriented method, this ebook addresses the artwork and technology of mathematical modeling relating to the combined integer programming (MIP) framework and discusses the algorithms and linked practices that allow these versions to be solved so much efficiently.
The e-book starts off with assurance of winning functions, systematic modeling systems, standard version kinds, transformation of non-MIP versions, combinatorial optimization challenge types, and automated preprocessing to acquire a greater formula. next chapters current algebraic and geometric uncomplicated suggestions of linear programming idea and community flows wanted for figuring out integer programming. ultimately, the booklet concludes with classical and smooth resolution ways in addition to the most important parts for construction an built-in software program approach in a position to fixing large-scale integer programming and combinatorial optimization problems.
Throughout the booklet, the authors show crucial thoughts via various examples and figures. every one new notion or set of rules is observed by means of a numerical instance, and, the place acceptable, photographs are used to attract jointly different difficulties or ways right into a unified entire. moreover, positive aspects of resolution methods present in latest advertisement software program are pointed out during the book.
Thoroughly classroom-tested, Applied Integer Programming is a superb e-book for integer programming classes on the upper-undergraduate and graduate degrees. It additionally serves as a well-organized reference for pros, software program builders, and analysts who paintings within the fields of utilized arithmetic, machine technological know-how, operations examine, administration technological know-how, and engineering and use integer-programming recommendations to version and remedy real-world optimization problems.
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Applied Integer Programming: Modeling and Solution by Der-San Chen,Robert G. Batson,Yu Dang