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 encompasses a specified emphasis in this element, concentrating on challenge modeling and answer utilizing advertisement software program. Taking an application-oriented strategy, this ebook addresses the artwork 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 allow these types to be solved such a lot efficiently.
The ebook starts with assurance of winning purposes, systematic modeling systems, commonplace version varieties, transformation of non-MIP versions, combinatorial optimization challenge versions, and automated preprocessing to procure a greater formula. next chapters current algebraic and geometric simple suggestions of linear programming conception and community flows wanted for knowing integer programming. ultimately, the ebook concludes with classical and sleek answer techniques in addition to the major elements for construction an built-in software program method able to fixing large-scale integer programming and combinatorial optimization problems.
Throughout the e-book, the authors reveal crucial innovations via a number of examples and figures. each one new idea or set of rules is observed through a numerical instance, and, the place acceptable, pics are used to attract jointly assorted difficulties or methods right into a unified entire. furthermore, gains of answer techniques present in modern day advertisement software program are pointed out through the book.
Thoroughly classroom-tested, Applied Integer Programming is a wonderful 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 technology, operations examine, administration technology, and engineering and use integer-programming options to version and resolve 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