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 contains a targeted emphasis in this element, targeting challenge modeling and answer utilizing advertisement software program. Taking an application-oriented procedure, this publication addresses the paintings and technological know-how of mathematical modeling regarding 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 methods, general version kinds, transformation of non-MIP types, combinatorial optimization challenge versions, and automated preprocessing to acquire a greater formula. next chapters current algebraic and geometric simple suggestions of linear programming idea and community flows wanted for knowing integer programming. eventually, the ebook concludes with classical and smooth resolution techniques in addition to the main parts for construction an built-in software program procedure able to fixing large-scale integer programming and combinatorial optimization problems.
Throughout the booklet, the authors display crucial recommendations via a variety of examples and figures. every one new idea or set of rules is observed via a numerical instance, and, the place appropriate, pics are used to attract jointly varied difficulties or ways right into a unified complete. additionally, positive aspects of answer techniques present in cutting-edge advertisement software program are pointed out in the course of the book.
Thoroughly classroom-tested, Applied Integer Programming is a wonderful 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, machine technological know-how, operations learn, administration technology, and engineering and use integer-programming innovations to version and remedy real-world optimization problems.
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Extra resources for Applied Integer Programming: Modeling and Solution
Applied Integer Programming: Modeling and Solution by Der-San Chen,Robert G. Batson,Yu Dang