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The Quadratic Unconstrained Binary Optimization Problem - Theory, Algorithms, and Applications (Hardcover, 1st ed. 2022)
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The Quadratic Unconstrained Binary Optimization Problem - Theory, Algorithms, and Applications (Hardcover, 1st ed. 2022)
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The quadratic binary optimization problem (QUBO) is a versatile
combinatorial optimization model with a variety of applications and
rich theoretical properties. Application areas of the model include
finance, cluster analysis, traffic management, machine scheduling,
VLSI physical design, physics, quantum computing, engineering, and
medicine. In addition, various mathematical optimization models can
be reformulated as a QUBO, including the resource constrained
assignment problem, set partitioning problem, maximum cut problem,
quadratic assignment problem, the bipartite unconstrained binary
optimization problem, among others. This book presents a systematic
development of theory, algorithms, and applications of QUBO. It
offers a comprehensive treatment of QUBO from various viewpoints,
including a historical introduction along with an in-depth
discussion of applications modelling, complexity and polynomially
solvable special cases, exact and heuristic algorithms, analysis of
approximation algorithms, metaheuristics, polyhedral structure,
probabilistic analysis, persistencies, and related topics.
Available software for solving QUBO is also introduced, including
public domain, commercial, as well as quantum computing based
codes.
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