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 additionally why they paintings. Applied Integer Programming contains a distinctive emphasis in this element, targeting challenge modeling and answer utilizing advertisement software program. Taking an application-oriented method, 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 allow these types to be solved such a lot efficiently.
The publication starts off with insurance of profitable functions, systematic modeling approaches, average version kinds, transformation of non-MIP versions, combinatorial optimization challenge versions, and automated preprocessing to acquire a greater formula. next chapters current algebraic and geometric uncomplicated thoughts of linear programming idea and community flows wanted for realizing integer programming. eventually, the booklet concludes with classical and glossy answer ways in addition to the foremost elements for development 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 innovations via a variety of examples and figures. each one new suggestion or set of rules is followed by way of a numerical instance, and, the place appropriate, pics are used to attract jointly assorted difficulties or ways right into a unified complete. additionally, good points of answer methods present in modern day advertisement software program are pointed out through 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 execs, software program builders, and analysts who paintings within the fields of utilized arithmetic, computing device technological know-how, operations examine, administration technology, and engineering and use integer-programming strategies to version and resolve 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