By Der-San Chen,Robert G. Batson,Yu Dang
In order to totally 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 designated emphasis in this aspect, concentrating on challenge modeling and answer utilizing advertisement software program. Taking an application-oriented technique, this ebook addresses the paintings and technological know-how of mathematical modeling on the topic of the combined integer programming (MIP) framework and discusses the algorithms and linked practices that permit these versions to be solved so much efficiently.
The publication starts off with insurance of profitable functions, systematic modeling approaches, usual version forms, transformation of non-MIP versions, combinatorial optimization challenge versions, and automated preprocessing to procure a greater formula. next chapters current algebraic and geometric simple options of linear programming thought and community flows wanted for realizing integer programming. eventually, the booklet concludes with classical and sleek resolution methods in addition to the main elements for construction an built-in software program process able to fixing large-scale integer programming and combinatorial optimization problems.
Throughout the ebook, the authors exhibit crucial recommendations via quite a few examples and figures. each one new idea or set of rules is observed through a numerical instance, and, the place appropriate, photos are used to attract jointly various difficulties or techniques right into a unified entire. additionally, gains of answer techniques present in modern 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, computing device technological know-how, operations study, administration technology, and engineering and use integer-programming recommendations to version and clear up real-world optimization problems.
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Additional info for Applied Integer Programming: Modeling and Solution
Applied Integer Programming: Modeling and Solution by Der-San Chen,Robert G. Batson,Yu Dang