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 additionally why they paintings. Applied Integer Programming incorporates a exact emphasis in this element, targeting challenge modeling and answer utilizing advertisement software program. Taking an application-oriented procedure, this ebook addresses the artwork and technology of mathematical modeling on the topic of the combined integer programming (MIP) framework and discusses the algorithms and linked practices that permit these types to be solved such a lot efficiently.
The booklet starts off with assurance of winning functions, systematic modeling systems, usual version kinds, transformation of non-MIP versions, combinatorial optimization challenge types, and automated preprocessing to procure a greater formula. next chapters current algebraic and geometric easy strategies of linear programming concept and community flows wanted for knowing integer programming. ultimately, the e-book concludes with classical and smooth resolution methods in addition to the foremost elements for construction an built-in software program process in a position to fixing large-scale integer programming and combinatorial optimization problems.
Throughout the booklet, the authors display crucial suggestions via a variety of examples and figures. each one new proposal or set of rules is observed via a numerical instance, and, the place appropriate, portraits are used to attract jointly varied difficulties or methods right into a unified complete. moreover, beneficial properties of resolution ways present in state-of-the-art advertisement software program are pointed out through the book.
Thoroughly classroom-tested, Applied Integer Programming is a wonderful booklet for integer programming classes on the upper-undergraduate and graduate degrees. It additionally serves as a well-organized reference for execs, software program builders, and analysts who paintings within the fields of utilized arithmetic, desktop technological know-how, operations examine, administration technology, and engineering and use integer-programming thoughts to version and remedy real-world optimization problems.
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