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This paper presents coordination algorithms for groups of mobile agents performing deployment and coverage tasks. As an important modeling constraint, we assume that each mobile agent has a limited sensing or communication radius. Based on the geometry of Voronoi partitions and proximity graphs, we analyze a class of aggregate objective functions and propose coverage algorithms in continuous and discrete time. These algorithms have convergence guarantees and are spatially distributed with respect...
This paper presents coordination algorithms for groups of
mobile agents performing deployment and coverage tasks. As an
important modeling constraint, we assume that each mobile agent has
a limited sensing or communication radius.
Based on the geometry of Voronoi partitions and proximity graphs, we
analyze a class of aggregate objective functions and propose coverage
algorithms in continuous and discrete time.
These algorithms have convergence guarantees and are spatially
distributed with...
Nachdem der Begriff des sphärischen Bildes der Menge und der Begriff von sphärisch äquivalenten Mengen eingeführt wurde, werden verschiedene Zusammenhänge zwischen der Menge und ihrem sphärischen Bild untersucht und zwar unter verschiedenen Voraussetzung über (z. B. ihre Beschränkheit, Unbeschränkheit, strenge Konvexität). Die bewiesene Tatsache, dass die Menge und ihre -Umgebung sphärisch äquivalent sind, kann - sowie andere Ergebnisse der Arbeit - in der Theorie der konvexen parametrischen...
Economic and financial processes are mostly simultaneously influenced by a random factor and a decision parameter. While the random factor can be hardly influenced, the decision parameter can be usually determined by a deterministic optimization problem depending on a corresponding probability measure. However, in applications the “underlying” probability measure is often a little different, replaced by empirical one determined on the base of data or even (for numerical reason) replaced by simpler...
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