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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Imprimer: 1064-2315
ISSN En ligne: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v45.i7.50
pages 41-53

On Dynamical Problem of Optimal Set Partition with Integral Constraints

Elena M. Kiseleva
Oles Honchar Dnipro National University, Dnepr
Larisa S. Koriashkina
Oles Honchar Dnepropetrovsk National University
Tatyana A. Shevchenko
Oles Honchar Dnepropetrovsk National University

RÉSUMÉ

Mathematical model of dynamical problem of optimal set partition from the space En with combined constraints on partition and phase variable is presented. Method of solving this problem was developed on the basis of necessary and sufficient conditions of optimality. We adduce numerical algorithm of solving the stated problem and results of numerical experiments.

RÉFÉRENCES

  1. Kiseleva E.M., Koriashkina L.S., On solving and properties of the simplest dynamical problem of optimal set partition.

  2. Kiseleva E.M., Shor N.Z. , Continuous problems of optimal set partition: theory, algorithms, applications [in Russian].

  3. Vasiliev F.P. , Numerical methods of solving of extremal problems [in Russian].

  4. Kaplan C.S. , Aliasing artefacts and accidental algorithmic art, University of Waterloo, 2005.

  5. Ohsawa Yoshiaki , A geometrical solution for quadratic bicriteria location models.

  6. Barequet G., Dickerson M.T., Drysdale R.L.S., 2-Point site Voronoi diagrams.


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