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Titlebook: Non-Convex Multi-Objective Optimization; Panos M. Pardalos,Antanas Žilinskas,Julius Žilinsk Book Aug 20171st edition Springer Internationa

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楼主: 冰冻
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Worst-Case Optimal Algorithmsl algorithms are constructed for the cases of passive (non-adaptive) and sequential (adaptive) search in [.]. These results are the generalization to the multi-objective case of the results by Sukharev who investigated the worst-case optimal single-objective optimization algorithms in [., .].
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Approximation and Complexitycomplexity theories have been developed for the investigation of problems of continuous nature. For the fundamentals of the complexity of real number algorithms we refer to [., .], and for the complexity of problems of mathematical programming to [., ., .].
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Statistical Models Based Algorithmsmization point of view, properties of . as non-differentiability, non-convexity, and multimodality cannot be excluded. Difficulties of the black-box global optimization of expensive functions are well known from the experience gained in the single-objective case.
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Multi-Objective Branch and Boundpresents an unexplored subset of feasible decisions. The iteration has three main components: selection of the subset to be processed, branching corresponding to subdivision of the subset, and bound calculation.
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