Abstract
We formulate an extremal problem of constructing a trajectory of a moving object that is farthest from a group of observers with fixed visibility cones. Under some constraints on the arrangement of the observers, we give a characterization and a method of construction of an optimal trajectory.
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V. I. Berdyshev and V. B. Kostousov, “Extremal problems in planning the route of a moving object under observation,” in Modern Problems in Mathematics and Its Applications: Proceedings of the 47th International Youth School–Conference, Yekaterinburg, Russia, 2016, pp. 32–41. http://ceur-ws.org/Vol-1662/opt1.pdf
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Original Russian Text © V.I. Berdyshev, 2016, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Vol. 22, No. 4, pp. 87–93.
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Berdyshev, V.I. Moving Object in ℝ2 and a Group of Observers. Proc. Steklov Inst. Math. 300 (Suppl 1), 49–55 (2018). https://doi.org/10.1134/S0081543818020062
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DOI: https://doi.org/10.1134/S0081543818020062