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Mathematical Programs with Equilibrium Constraints (Paperback)
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Mathematical Programs with Equilibrium Constraints (Paperback)
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Total price: R1,503
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This book provides a solid foundation and an extensive study for an
important class of constrained optimization problems known as
Mathematical Programs with Equilibrium Constraints (MPEC), which
are extensions of bilevel optimization problems. The book begins
with the description of many source problems arising from
engineering and economics that are amenable to treatment by the
MPEC methodology. Error bounds and parametric analysis are the main
tools to establish a theory of exact penalisation, a set of MPEC
constraint qualifications and the first-order and second-order
optimality conditions. The book also describes several iterative
algorithms such as a penalty-based interior point algorithm, an
implicit programming algorithm and a piecewise sequential quadratic
programming algorithm for MPECs. Results in the book are expected
to have significant impacts in such disciplines as engineering
design, economics and game equilibria, and transportation planning,
within all of which MPEC has a central role to play in the
modelling of many practical problems.
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