Open AccessBook
Integer and Combinatorial Optimization
Reads0
Chats0
TLDR
This chapter discusses the Scope of Integer and Combinatorial Optimization, as well as applications of Special-Purpose Algorithms and Matching.Abstract:
FOUNDATIONS. The Scope of Integer and Combinatorial Optimization. Linear Programming. Graphs and Networks. Polyhedral Theory. Computational Complexity. Polynomial-Time Algorithms for Linear Programming. Integer Lattices. GENERAL INTEGER PROGRAMMING. The Theory of Valid Inequalities. Strong Valid Inequalities and Facets for Structured Integer Programs. Duality and Relaxation. General Algorithms. Special-Purpose Algorithms. Applications of Special- Purpose Algorithms. COMBINATORIAL OPTIMIZATION. Integral Polyhedra. Matching. Matroid and Submodular Function Optimization. References. Indexes.read more
Citations
More filters
Proceedings ArticleDOI
Maximizing the spread of influence through a social network
TL;DR: An analysis framework based on submodular functions shows that a natural greedy strategy obtains a solution that is provably within 63% of optimal for several classes of models, and suggests a general approach for reasoning about the performance guarantees of algorithms for these types of influence problems in social networks.
Book
Graphical Models, Exponential Families, and Variational Inference
TL;DR: The variational approach provides a complementary alternative to Markov chain Monte Carlo as a general source of approximation methods for inference in large-scale statistical models.
Book
Approximation Algorithms
TL;DR: Covering the basic techniques used in the latest research work, the author consolidates progress made so far, including some very recent and promising results, and conveys the beauty and excitement of work in the field.
Journal ArticleDOI
Metaheuristics in combinatorial optimization: Overview and conceptual comparison
Christian Blum,Andrea Roli +1 more
TL;DR: A survey of the nowadays most important metaheuristics from a conceptual point of view and introduces a framework, that is called the I&D frame, in order to put different intensification and diversification components into relation with each other.
Journal ArticleDOI
Branch-And-Price: Column Generation for Solving Huge Integer Programs
Cynthia Barnhart,Ellis L. Johnson,George L. Nemhauser,Martin W. P. Savelsbergh,Pamela H. Vance +4 more
TL;DR: In this paper, column generation methods for integer programs with a huge number of variables are discussed, including implicit pricing of nonbasic variables to generate new columns or to prove LP optimality at a node of the branch-and-bound tree.
References
More filters
Book
Practical Metallurgy and Materials of Industry
TL;DR: The Physical and Mechanical Properties of Metals as discussed by the authors The physical and mechanical properties of metals have been extensively studied in the literature, including the following: 1. Extracting Metals from Ores. 2. Casting Processes. 3. Identification and Selection of Iron Alloys. 4. The Manufacturing of Steel Products.