The Quadratic Unconstrained Binary Optimization Problem: Theory, Algorithms, and Applications - Softcover

Softcover

ISBN 10: 303104522X ISBN 13: 9783031045226

Publisher: Springer, 2023

Synopsis

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.

About this title

About the Author

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).

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2023
• Language: English
• ISBN 10: 303104522X
• ISBN 13: 9783031045226
• Binding: Paperback
• Edition number: 1
• Number of pages: 332
• Editor: Punnen Abraham P.