Branch-and-bound algorithms: A survey of recent advances in searching, branching, and pruning

DR Morrison, SH Jacobson, JJ Sauppe, EC Sewell - Discrete Optimization, 2016 - Elsevier
The branch-and-bound (B&B) algorithmic framework has been used successfully to find
exact solutions for a wide array of optimization problems. B&B uses a tree search strategy to …

Symmetry in integer linear programming

F Margot - 50 years of integer programming 1958-2008: from the …, 2009 - Springer
An integer linear program (ILP) is symmetric if its variables can be permuted without
changing the structure of the problem. Areas where symmetric ILPs arise range from applied …

Branch-and-price: Column generation for solving huge integer programs

C Barnhart, EL Johnson, GL Nemhauser… - Operations …, 1998 - pubsonline.informs.org
We discuss formulations of integer programs with a huge number of variables and their
solution by column generation methods, ie, implicit pricing of nonbasic variables to generate …

Béla Bollobás, Extremal Graph Theory (Academic Press, 1978), 488 pp.,£ 19· 50.

I Anderson - Proceedings of the Edinburgh Mathematical Society, 1980 - cambridge.org
The book is a valuable contribution to the literature, collecting together in a coherent way a
vast amount of work in a fast-growing subject, and bringing the reader right up to date. The …

Selected topics in column generation

ME Lübbecke, J Desrosiers - Operations research, 2005 - pubsonline.informs.org
Dantzig-Wolfe decomposition and column generation, devised for linear programs, is a
success story in large-scale integer programming. We outline and relate the approaches …

[KÖNYV][B] Guide to graph colouring

R Lewis - 2021 - Springer
Graph colouring is one of those rare examples in the mathematical sciences of a problem
that, while easy to state and visualise, has many aspects that are exceptionally difficult to …

Constraint integer programming

T Achterberg - 2007 - opus4.kobv.de
This thesis introduces the novel paradigm of constraint integer programming (CIP), which
integrates constraint programming (CP) and mixed integer programming (MIP) modeling …

[KÖNYV][B] Handbook of approximation algorithms and metaheuristics

TF Gonzalez - 2007 - taylorfrancis.com
Delineating the tremendous growth in this area, the Handbook of Approximation Algorithms
and Metaheuristics covers fundamental, theoretical topics as well as advanced, practical …

Models and solution techniques for frequency assignment problems

KI Aardal, SPM Van Hoesel, AMCA Koster… - Annals of Operations …, 2007 - Springer
Wireless communication is used in many different situations such as mobile telephony, radio
and TV broadcasting, satellite communication, wireless LANs, and military operations. In …

An optimization based heuristic for political districting

A Mehrotra, EL Johnson… - Management …, 1998 - pubsonline.informs.org
Redistricting, the redrawing of congressional district boundaries within the states, may occur
every 10 years on the basis of the population census. Many redistricting plans are designed …