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Stochastic Decomposition - A Statistical Method for Large Scale Stochastic Linear Programming (Hardcover, 1996 ed.)
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Stochastic Decomposition - A Statistical Method for Large Scale Stochastic Linear Programming (Hardcover, 1996 ed.)
Series: Nonconvex Optimization and Its Applications, 8
Expected to ship within 10 - 15 working days
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This book summarizes developments related to a class of methods
called Stochastic Decomposition (SD) algorithms, which represent an
important shift in the design of optimization algorithms. Unlike
traditional deterministic algorithms, SD combines sampling
approaches from the statistical literature with traditional
mathematical programming constructs (e.g. decomposition, cutting
planes etc.). This marriage of two highly computationally oriented
disciplines leads to a line of work that is most definitely driven
by computational considerations. Furthermore, the use of sampled
data in SD makes it extremely flexible in its ability to
accommodate various representations of uncertainty, including
situations in which outcomes/scenarios can only be generated by an
algorithm/simulation. The authors report computational results with
some of the largest stochastic programs arising in applications.
These results (mathematical as well as computational) are the tip
of the iceberg'. Further research will uncover extensions of SD to
a wider class of problems. Audience: Researchers in mathematical
optimization, including those working in telecommunications,
electric power generation, transportation planning, airlines and
production systems. Also suitable as a text for an advanced course
in stochastic optimization.
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