Title: Rounded Branch and Bound Method for Mixed Integer Nonlinear Programming Problems January 1977 Classic Reprint
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 0656402709
ISBN 13: 9780656402700
Binding: HRD
Condition: New
Weight: 345 grams

About this title

Synopsis

Unlock the power of advanced optimization with a practical guide to the Bounded Branch and Bound method.

This book introduces a complete approach for solving mixed integer nonlinear programming problems, focusing on how to build and navigate an oriented graph (an arborescence) that represents the search space.

In a clear, step-by-step style, it explains how to transform complex problems into a series of solvable subproblems, including continuous nonlinear programs at each node and strategies to identify when a node can be abandoned or when the search should proceed. The text covers the graphical language used to track states, the rules that govern exploration, and how to handle non-convex cases with tailored algorithms. It also provides perspectives on scheduling fortuitous integer variables and choosing the right variable to separate, with concrete procedures and examples.

Learn the structure of the arborescence and how a node evolves as the algorithm progresses
See how feasibility, bounds, and stopping criteria guide decisions at each step
Explore several criteria for selecting separation variables and ordering subproblems
Review practical notes on convergence, memory use, and algorithm performance

Ideal for readers who want a rigorous, implementable method for solving complex optimization problems, from theory to coding considerations. This edition presents the core concepts, rules, and a complete example to illustrate the BBB approach in action.

"About this title" may belong to another edition of this title.

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