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For the first time, this book unites different algebraic approaches for discrete optimization and operations research. The presentation of some fundamental directions of this new fast developing area shows the wide range of its applicability. Specifically, the book contains contributions in the following fields: semigroup and semiring theory applied to combinatorial and integer programming, network flow theory in ordered algebraic structures, extremal optimization problems, decomposition principles for discrete structures, Boolean methods in graph theory and applications.

Discrete mathematics --- Algebras, Linear. --- Combinatorial analysis. --- Operations research. --- Operations research --- Combinatorial analysis --- Algebras, Linear --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Combinatorics --- Algebra --- Mathematical analysis --- Linear algebra --- Algebra, Universal --- Generalized spaces --- Calculus of operations --- Line geometry --- Topology

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Algebras, Linear --- Linear programming --- #TELE:SISTA --- #WBIB:dd.Lic.L.De Busschere --- 512.64 --- Matrices --- Production scheduling --- Programming (Mathematics) --- Substitutions, Linear --- Transformations (Mathematics) --- Vector analysis --- Linear algebra --- Algebra, Universal --- Generalized spaces --- Mathematical analysis --- Calculus of operations --- Line geometry --- Topology --- Linear and multilinear algebra. Matrix theory --- 512.64 Linear and multilinear algebra. Matrix theory --- Linear programming.