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Introduction to Linear Optimization (Athena Scientific Series in Optimization and Neural Computation, 6)
Posted on 2010-04-14
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This is an excellent book -- it covers in far more detail the first 2/3rds of the 15.093J/2.098J course at MIT (as well as the more mathematically rigorous 15.081J/6.251J course). The reader should definitely be a mathematically mature student but even the simplest portable concepts from a linear algebra 101 course (basis, rank of a matrix, linear independence) should suffice. The authors cover the subject matter first in a geometric sense, but since algorithms are necessarily algebraic, they then present the very same concepts algebraically. An excellent introductory chapter is followed by chapters on the geometry of LP, the simplex method, duality theory, sensitivity analysis, network flow problems, complexity theory, interior point methods, discrete optimization, IP methods (branch-and-bound, dynamic programming, cutting plane, simulated annealing etc.) and finally, to top it all off and to emphasize and present large, important, real-world problems: the art in linear optimization. Professor Dimitris Bertsimas is an excellent teacher and he and Professor John Tsitsiklis have excelled themselves at this comprehensive (though, as they state themselves, not encyclopedic) effort. http://rapidshare.de/files/16154028/Introduction_to_Linear_optimization.rar
Rating:
2.5 out of 5 by Book123 |
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