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Optimal Inscribing of Two Balls into Polyhedral Set

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Optimization, Simulation, and Control

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 76))

Abstract

In this chapter, we consider the problem for optimal inscribing of two balls into bounded polyhedral set, so that sum of their radiuses is maximized. We formulate this problem as a bilevel programming problem and investigated its some properties. The gradient-based method for solving it has been proposed. We illustrate our approach on some test problems.

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Notes

  1. 1.

    This means that primary and dual problems (5) and (11) are nondegenerated.

References

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Author information

Authors and Affiliations

  1. The School of Economics Studies, National University of Mongolia, Ulaanbaatar, Mongolia

    Rentsen Enkhbat

  2. The School of Mathematics and Computer Science, National University of Mongolia, Ulaanbaatar, Mongolia

    Bazarragchaa Barsbold

Authors
  1. Rentsen Enkhbat
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  2. Bazarragchaa Barsbold
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Corresponding author

Correspondence to Bazarragchaa Barsbold .

Editor information

Editors and Affiliations

  1. , Institute of Mathematics, National University of Mongolia, University Street 1, Ulaanbaatar, 210646, Erdenet, Mongolia

    Altannar Chinchuluun

  2. , Department of Industrial & Systems Engin, University of Florida, Weil Hall 401, Gainesville, 32611, Florida, USA

    Panos M. Pardalos

  3. The School of Economic Studies, Dept.of Mathematics & Computer Science, National University of Mongolia, Ulaanbaatar, 210646, Mongolia

    Rentsen Enkhbat

  4. , Centre for Process Systems Engineering, Imperial College London, South Kensington Campus, London, SW7 2AZ, United Kingdom

    E. N. Pistikopoulos

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Enkhbat, R., Barsbold, B. (2013). Optimal Inscribing of Two Balls into Polyhedral Set. In: Chinchuluun, A., Pardalos, P., Enkhbat, R., Pistikopoulos, E. (eds) Optimization, Simulation, and Control. Springer Optimization and Its Applications, vol 76. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5131-0_3

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