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A Circle Packing Problem and Its Connection to Malfatti’s Problem

In: Open Problems in Optimization and Data Analysis

Author

Listed:
  • D. Munkhdalai

    (National University of Mongolia)

  • R. Enkhbat

    (National University of Mongolia)

Abstract

We have analytically solved the problem how to split a given triangle’s two sides by a line such that a total area of inscribed two circles embedded in each side of the line reaches the maximum. We also show that Malfatti’s problem for n = 2 is a particular case of our problem.

Suggested Citation

  • D. Munkhdalai & R. Enkhbat, 2018. "A Circle Packing Problem and Its Connection to Malfatti’s Problem," Springer Optimization and Its Applications, in: Panos M. Pardalos & Athanasios Migdalas (ed.), Open Problems in Optimization and Data Analysis, pages 225-248, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-99142-9_12
    DOI: 10.1007/978-3-319-99142-9_12
    as

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