Bi-Level Strategies in Semi-Infinite Programming

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Focusing on the structural aspects of semi-infinite optimization, this book presents optimality conditions that leverage these structures and introduces a novel solution method. It explores the efficient resolution of general semi-infinite programs by exploiting their bi-level structure under certain assumptions. The initial chapter provides historical context, while subsequent sections highlight various applications across engineering and economics, including Chebyshev approximation, minimax problems, robust optimization, and design centering, showcasing the relevance of semi-infinite models.