Multilevel Optimization : Algorithms and Applications

Algorithms and Applications

By: A. Migdalas (Editor), Panos M. Pardalos (Editor), Peter VÃ¤rbrand (Editor)

Write A Review

Hardcover | 1 December 1997

At a Glance

Hardcover
412 Pages

Dimensions(cm)
24.77 x 17.15 x 2.54

Hardcover

$329.00

or 4 interest-free payments of $82.25 with

Ships in 5 to 7 business days

Researchers working with nonlinear programming often claim "the word is non linear" indicating that real applications require nonlinear modeling. The same is true for other areas such as multi-objective programming (there are always several goals in a real application), stochastic programming (all data is uncer tain and therefore stochastic models should be used), and so forth. In this spirit we claim: The word is multilevel. In many decision processes there is a hierarchy of decision makers, and decisions are made at different levels in this hierarchy. One way to handle such hierar chies is to focus on one level and include other levels' behaviors as assumptions. Multilevel programming is the research area that focuses on the whole hierar chy structure. In terms of modeling, the constraint domain associated with a multilevel programming problem is implicitly determined by a series of opti mization problems which must be solved in a predetermined sequence. If only two levels are considered, we have one leader (associated with the upper level) and one follower (associated with the lower level).

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Optimisation Linear Programming Applied Mathematics Game Theory Computing & I.T.Computer Programming & Software Development Computer Science Mathematical Theory of Computation

Preface
Congested O-D Trip Demand Adjustment Problem: Bilevel Programming Formulation and Optimality Conditions	p. 1
Determining Tax Credits for Converting Nonfood Crops to Biofuels: An Application of Bilevel Programming	p. 23
Multilevel Optimization Methods in Mechanics	p. 51
Optimal Structural Design in Nonsmooth Mechanics	p. 91
Optimizing the Operations of an Aluminium Smelter Using Non-Linear Bi-Level Programming	p. 117
Complexity Issues in Bilevel Linear Programming	p. 149
The Computational Complexity of Multi-Level Bottleneck Programming Problems	p. 165
On the Linear Maxmin and Related Programming Problems	p. 181
Piecewise Sequential Quadratic Programming for Mathematical Programs with Nonlinear Complementarity Constraints	p. 209
A New Branch and Bound Method for Bilevel Linear Programs	p. 231
A Penalty Method for Linear Bilevel Programming Problems	p. 251
An Implicit Function Approach to Bilevel Programming Problems	p. 273
Bilevel Linear Programming, Multiobjective Programming, and Monotonic Reverse Convex Programming	p. 295
Existence of Solutions to Generalized Bilevel Programming Problem	p. 315
Application of Topological Degree Theory to Complementarity Problems	p. 333
Optimality and Duality in Parametric Convex Lexicographic Programming	p. 359
Index	p. 381
Table of Contents provided by Blackwell. All Rights Reserved.

Multilevel Optimization : Algorithms and Applications

Algorithms and Applications

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Mathematical Theory of Computation

Swim Training Patterns

1st Edition - Plan your Training Sessions with the Power of Mathematics

AI Engineering

Building Applications with Foundation Models

Algorithms in C, Parts 1-4

3rd Edition - Fundamentals, Data Structures, Sorting, Searching

Discrete Mathematics for Computing

Grassroots

Effective Machine Learning Teams

Best Practices for ML Practitioners

Mathematical Foundations of Deep Learning

Theory and Algorithms

Mathematical Foundations of Deep Learning

Theory and Algorithms

Theory of Computation for Software Developers

AI for Decision Intelligence in Critical Systems

Advances in Applied Mathematics

AI for Decision Intelligence in Critical Systems

Advances in Applied Mathematics

Nonlinear Analysis for Human Movement Variability

Decentralized Futures

Navigating the Integration of Blockchain Technology with Artificial Intelligence

AI and Blockchain in Smart Grids

Fundamentals, Methods, and Applications

Attack-and-Defense Games for Control Systems

Analysis and Synthesis

Introduction to Modern Cryptography

Revised Third Edition

Zhang Time Discretization (ZTD) Formulas and Applications

Machine Learning Interviews

Kickstart Your Machine Learning and Data Career

Beading With Algorithms

Cellular Automata In Peyote Stitch

Surveys in Combinatorics 2026

London Mathematical Society Lecture Note Series

Why Don t Rabbits Rule The World?

Mathematical answers to life s key questions

Applied Mathematics with F#

Pattern Recognition and Machine Learning for Self-Study I

Supervised Learning

Computability and Computational Explanation

Elements in the Philosophy of Mathematics

Computability and Computational Explanation

Elements in the Philosophy of Mathematics

This product is categorised by