By Der-San Chen,Robert G. Batson,Yu Dang
In order to completely understand the algorithms linked to integer programming, you will need to comprehend not just how algorithms paintings, but in addition why they paintings. Applied Integer Programming includes a targeted emphasis in this aspect, concentrating on challenge modeling and resolution utilizing advertisement software program. Taking an application-oriented method, this booklet 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 let these versions to be solved so much efficiently.
The booklet starts with insurance of profitable functions, systematic modeling tactics, standard version forms, transformation of non-MIP types, combinatorial optimization challenge types, and automated preprocessing to procure a greater formula. next chapters current algebraic and geometric uncomplicated innovations of linear programming concept and community flows wanted for knowing integer programming. ultimately, the publication concludes with classical and smooth answer ways in addition to the major elements for development an built-in software program procedure in a position to fixing large-scale integer programming and combinatorial optimization problems.
Throughout the booklet, the authors show crucial strategies via quite a few examples and figures. each one new thought or set of rules is followed via a numerical instance, and, the place acceptable, pictures are used to attract jointly assorted difficulties or methods right into a unified entire. moreover, beneficial properties of resolution ways present in trendy advertisement software program are pointed out through the book.
Thoroughly classroom-tested, Applied Integer Programming is a wonderful publication 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, computing device technological know-how, operations study, administration technological know-how, and engineering and use integer-programming strategies to version and clear up real-world optimization problems.
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Extra info for Applied Integer Programming: Modeling and Solution
Applied Integer Programming: Modeling and Solution by Der-San Chen,Robert G. Batson,Yu Dang