Nonlinear Discrete Optimization
An Algorithmic Theory
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Beschreibung
This monograph develops an algorithmic theory of nonlinear discrete optimization. It introduces a simple and useful setup which enables the polynomial time solution of broad fundamental classes of nonlinear combinatorial optimization and integer programming problems in variable dimension. An important part of this theory is enhanced by recent developments in the algebra of Graver bases. The power of the theory is demonstrated by deriving the first polynomial time algorithms in a variety of application areas within operations research and statistics, including vector partitioning, matroid optimization, experimental design, multicommodity flows, multi-index transportation and privacy in statistical databases.
Autor*in
Shmuel Onn
Themen in »Nonlinear Discrete Optimization«
stochastic programming linear programming Integer programming optimization