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Branch-and-bound algorithms: A survey of recent advances in searching, branching, and pruning
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 …
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 …
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 …
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 …
vast amount of work in a fast-growing subject, and bringing the reader right up to date. The …
Selected topics in column generation
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 …
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 …
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 …
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 …
and Metaheuristics covers fundamental, theoretical topics as well as advanced, practical …
Models and solution techniques for frequency assignment problems
Wireless communication is used in many different situations such as mobile telephony, radio
and TV broadcasting, satellite communication, wireless LANs, and military operations. In …
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 …
every 10 years on the basis of the population census. Many redistricting plans are designed …