Details

Construct, Merge, Solve & Adapt


Construct, Merge, Solve & Adapt

A Hybrid Metaheuristic for Combinatorial Optimization
Computational Intelligence Methods and Applications

von: Christian Blum

CHF 177.00

Verlag: Springer
Format: PDF
Veröffentl.: 18.06.2024
ISBN/EAN: 9783031601033
Sprache: englisch

Dieses eBook enthält ein Wasserzeichen.

Beschreibungen

<p>This book describes a general hybrid metaheuristic for combinatorial optimization labeled Construct, Merge, Solve &amp; Adapt (CMSA). The general idea of standard CMSA is the following one. At each iteration, a number of valid solutions to the tackled problem instance are generated in a probabilistic way. Hereby, each of these solutions is composed of a set of solution components. The components found in the generated solutions are then added to an initially empty sub-instance. Next, an exact solver is applied in order to compute the best solution of the sub-instance, which is then used to update the sub-instance provided as input for the next iteration. In this way, the power of exact solvers can be exploited for solving problem instances much too large for a standalone application of the solver.</p>

<p>Important research lines on CMSA from recent years are covered in this book. After an introductory chapter about standard CMSA, subsequent chapters cover a self-adaptive CMSA variant as well as a variant equipped with a learning component for improving the quality of the generated solutions over time. Furthermore, on outlining the advantages of using set-covering-based integer linear programming models for sub-instance solving, the author shows&nbsp;how to apply CMSA to problems naturally modelled by non-binary integer linear programming models. The book concludes with a chapter on topics such as the development of a problem-agnostic CMSA and the relation between large neighborhood search and CMSA. Combinatorial optimization problems used in the book as test cases include the minimum dominating set problem, the variable-sized bin packing problem, and an electric vehicle routing problem.</p>

<p>The book will be valuable and is intended for researchers, professionals and graduate students working in a wide range of fields, such as combinatorial optimization, algorithmics, metaheuristics, mathematical modeling, evolutionary computing, operations research, artificial intelligence, or statistics.</p>
<p>Introduction to CMSA.- Self-Adaptive CMSA.- Adding Learning to CMSA.- Replacing Hard Mathematical Models with Set Covering Formulations.- Application of CMSA in the Presence of Non-Binary Variables.- Additional Research Lines Concerning CMSA.</p>
<p>Christian Blum is a&nbsp;Senior Research Scientist at the Artificial Intelligence Research Institute (IIIA) and the Spanish National Research Council (CSIC).&nbsp;He is one of the most influential researchers at the intersection of Artificial Intelligence, Operations Research, Optimization, Heuristics, Natural Computing and Computational Intelligence. He is the co-editor of "Swarm Intelligence" (Springer, 2006) and co-author of "Hybrid Metaheuristics" (Springer, 2016).&nbsp;</p>
<p>This book describes a general hybrid metaheuristic for combinatorial optimization labeled Construct, Merge, Solve & Adapt (CMSA). The general idea of standard CMSA is the following one. At each iteration, a number of valid solutions to the tackled problem instance are generated in a probabilistic way. Hereby, each of these solutions is composed of a set of solution components. The components found in the generated solutions are then added to an initially empty sub-instance. Next, an exact solver is applied in order to compute the best solution of the sub-instance, which is then used to update the sub-instance provided as input for the next iteration. In this way, the power of exact solvers can be exploited for solving problem instances much too large for a standalone application of the solver.</p>

<p>Important research lines on CMSA from recent years are covered in this book. After an introductory chapter about standard CMSA, subsequent chapters cover a self-adaptive CMSA variant as well as a variant equipped with a learning component for improving the quality of the generated solutions over time. Furthermore, on outlining the advantages of using set-covering-based integer linear programming models for sub-instance solving, the author shows&nbsp;how to apply CMSA to problems naturally modelled by non-binary integer linear programming models. The book concludes with a chapter on topics such as the development of a problem-agnostic CMSA and the relation between large neighborhood search and CMSA. Combinatorial optimization problems used in the book as test cases include the minimum dominating set problem, the variable-sized bin packing problem, and an electric vehicle routing problem.</p>

<p>The book will be valuable and is intended for researchers, professionals and graduate students working in a wide range of fields, such as combinatorial optimization, algorithmics, metaheuristics, mathematical modeling, evolutionary computing, operations research, artificial intelligence, or statistics.</p>
Introduces CMSA: Construct, Merge, Solve & Adapt as combinatorial optimization algorithm Explains an algorithm combining probabilistic solution construction with an ILP solver Discusses applications to optimization problems such as the minimum dominating set problem