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Variable Ordering Structures in Vector Optimization (Hardcover, 2014)
Loot Price: R2,377
Discovery Miles 23 770
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Variable Ordering Structures in Vector Optimization (Hardcover, 2014)
Series: Vector Optimization
Expected to ship within 10 - 15 working days
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This book provides an introduction to vector optimization with
variable ordering structures, i.e., to optimization problems with a
vector-valued objective function where the elements in the
objective space are compared based on a variable ordering
structure: instead of a partial ordering defined by a convex cone,
we see a whole family of convex cones, one attached to each element
of the objective space. The book starts by presenting several
applications that have recently sparked new interest in these
optimization problems, and goes on to discuss fundamentals and
important results on a wide range of topics. The theory developed
includes various optimality notions, linear and nonlinear
scalarization functionals, optimality conditions of Fermat and
Lagrange type, existence and duality results. The book closes with
a collection of numerical approaches for solving these problems in
practice.
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