Applied Integer Programming: Modeling and Solution - download pdf or read online

Discrete Mathematics

By Der-San Chen,Robert G. Batson,Yu Dang

An obtainable remedy of the modeling and answer of integer programming difficulties, that includes glossy purposes and software

In order to completely understand the algorithms linked to integer programming, you will need to comprehend not just how algorithms paintings, but additionally why they paintings. Applied Integer Programming encompasses a particular emphasis in this aspect, concentrating on challenge modeling and resolution utilizing advertisement software program. Taking an application-oriented process, this booklet addresses the paintings and technology of mathematical modeling with regards to the combined integer programming (MIP) framework and discusses the algorithms and linked practices that allow these versions to be solved such a lot efficiently.

The ebook starts off with assurance of profitable purposes, systematic modeling systems, normal 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 simple techniques of linear programming conception and community flows wanted for realizing integer programming. ultimately, the e-book concludes with classical and smooth answer methods in addition to the most important parts for development an built-in software program approach in a position to fixing large-scale integer programming and combinatorial optimization problems.

Throughout the e-book, the authors display crucial thoughts via a variety of examples and figures. each one new idea or set of rules is followed by means of a numerical instance, and, the place appropriate, images are used to attract jointly assorted difficulties or techniques right into a unified complete. furthermore, good points of resolution methods present in modern day advertisement software program are pointed out during the book.

Thoroughly classroom-tested, Applied Integer Programming is a superb ebook 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, computing device technological know-how, operations learn, administration technology, and engineering and use integer-programming innovations to version and resolve real-world optimization problems.

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Applied Integer Programming: Modeling and Solution by Der-San Chen,Robert G. Batson,Yu Dang

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