Synopsis
An extensive study for an important class of constrained optimisation problems known as Mathematical Programs with Equilibrium Constraints.
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Review
"The book provides a good basis for further theoretical and applications-oriented investigations of MPECs. This monograph can be recommended as a valuable resource in applied mathematics, especially in the fields of operations research and engineering, as well as for specialists in mathematical prgramming." Stephen Dempe,Mathematical Reviews
Book Description
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.
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Mathematical Programs with Equilibrium Constraints
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Mathematical Programs with Equilibrium Constraints
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Mathematical Programs with Equilibrium Constraints
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Mathematical Programs with Equilibrium Constraints (Hardcover)
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ISBN 10: 0521572908
ISBN 13: 9780521572903
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Hardcover. Condition: new. Hardcover. This book provides a solid foundation and an extensive study for an important class of constrained optimisation problems known as Mathematical Programs with Equilibrium Constraints (MPEC), which are extensions of bilevel optimisation 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. This book provides a solid foundation and an extensive study for an important class of constrained optimisation problems known as Mathematical Programs with Equilibrium Constraints (MPEC), which are extensions of bilevel optimisation problems. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521572903
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Mathematical Programs with Equilibrium Constraints
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ISBN 10: 0521572908
ISBN 13: 9780521572903
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Mathematical Programs With Equilibrium Constraints
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Mathematical Programs with Equilibrium Constraints
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ISBN 13: 9780521572903
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Mathematical Programs with Equilibrium Constraints (Hardcover)
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Cambridge University Press, Cambridge, 1996
ISBN 10: 0521572908
ISBN 13: 9780521572903
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Hardcover. Condition: new. Hardcover. This book provides a solid foundation and an extensive study for an important class of constrained optimisation problems known as Mathematical Programs with Equilibrium Constraints (MPEC), which are extensions of bilevel optimisation 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. This book provides a solid foundation and an extensive study for an important class of constrained optimisation problems known as Mathematical Programs with Equilibrium Constraints (MPEC), which are extensions of bilevel optimisation problems. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521572903
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Mathematical Programs with Equilibrium Constraints
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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.Inhalt. Seller Inventory # 446940571
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Mathematical Programs with Equilibrium Constraints
Published by
Cambridge University Press, 1996
ISBN 10: 0521572908
ISBN 13: 9780521572903
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