Synopsis
This book provides a solid foundation and an extensive study for Mathematical Programs with Equilibrium Constraints (MPEC). It 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 penalization, 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 modeling of many practical problems.
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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. 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 modeling of many practical problems.
About the Author
Zhi-Quan (Tom) Luo is a Professor at the University of Minnesota. He has served as the Editor-in-Chief of IEEE Transactions on Signal Processing and is a Fellow of the IEEE, SIAM, and the Royal Society of Canada.
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Mathematical Programs with Equilibrium Constraints
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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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Condition: New. An extensive study for an important class of constrained optimisation problems known as Mathematical Programs with Equilibrium Constraints. Num Pages: 428 pages, 4 tables. BIC Classification: PBT; PBU. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 27. Weight in Grams: 800. . 1997. hardcover. . . . . Seller Inventory # V9780521572903
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Mathematical Programs with Equilibrium Constraints (Hardcover)
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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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