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Combinatorial optimization --- Bibliography --- Combinatorial optimization - Bibliography

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This thesis by Uledi Ngulo explores decomposition methods in the field of combinatorial optimization, a branch of mathematics that deals with optimizing complex problems often found in science and technology. The work focuses on decomposing these problems into simpler subproblems to improve solution methods. Key concepts include the development of a Lagrangian principle for discrete and non-convex optimization problems, analysis of duality gaps in set covering problems, and a study of bi-objective covering problems related to real-world applications like camera surveillance systems. The research aims to enhance the understanding and application of decomposition principles in optimization tasks. It is intended for an academic audience, particularly those interested in mathematical optimization techniques.

Combinatorial optimization. --- Lagrangian functions.

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Algorithms --- Combinatorial optimization --- Graph theory --- Mathematics

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Combinatorial optimization --- Optimisation combinatoire --- Congresses --- Congrès --- Congresses. --- Congrès --- Combinatorial optimization - Congresses.

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"Multi-Objective Combinatorial Optimization Problems and Solution Methods discusses the results of a recent multi-objective combinatorial optimization achievement that considered metaheuristic, mathematical programming, heuristic, hyper heuristic and hybrid approaches. In other words, the book presents various multi-objective combinatorial optimization issues that may benefit from different methods in theory and practice. Combinatorial optimization problems appear in a wide range of applications in operations research, engineering, biological sciences and computer science, hence many optimization approaches have been developed that link the discrete universe to the continuous universe through geometric, analytic and algebraic techniques. This book covers this important topic as computational optimization has become increasingly popular as design optimization and its applications in engineering and industry have become ever more important due to more stringent design requirements in modern engineering practice."--

Combinatorial optimization. --- Combinatorial optimization --- Optimization, Combinatorial --- Combinatorial analysis --- Mathematical optimization --- Data processing.