Abstract

We examine Malfatti's problem which dates back to 200 years ago from the view point of global optimization. The problem has been formulated as the convex maximization problem over a nonconvex set. Global optimality condition by Strekalovsky (Sov Math Dokl 292(5):1062---1066, 1987) has been applied to this problem. For solving numerically Malfatti's problem, we propose the algorithm in Enkhbat (J Glob Optim 8:379---391, 1996) which converges globally. Some computational results are provided.

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