The Quadratic Unconstrained Binary Optimization Problem

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192,59 

Theory, Algorithms, and Applications

ISBN: 303104519X
ISBN 13: 9783031045196
Herausgeber: Abraham P Punnen
Verlag: Springer Verlag GmbH
Umfang: xiii, 319 S., 13 s/w Illustr., 4 farbige Illustr., 319 p. 17 illus., 4 illus. in color.
Erscheinungsdatum: 13.07.2022
Auflage: 1/2022
Produktform: Gebunden/Hardback
Einband: Gebunden

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.

Artikelnummer: 5345363 Kategorie:

Beschreibung

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.

Autorenporträt

Abraham P. Punnen is a professor in the department of Mathematics at Simon Fraser University, Burnaby, Canada. His primary research interest is in combinatorial optimization and published extensively in this area. He, jointly with G. Gutin, edited the popular book "The Traveling Salesman Problem and Its Variations" (Springer, 2007).

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