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On the Busy Period in One Finite Queue of M/G/1 Type with Inactive Orbit

Dragieva, Velika — 2014

Serdica Journal of Computing

The paper deals with a single server finite queuing system where the customers, who failed to get service, are temporarily blocked in the orbit of inactive customers. This model and its variants have many applications, especially for optimization of the corresponding models with retrials. We analyze the system in non-stationary regime and, using the discrete transformations method study, the busy period length and the number of successful calls made during it. ACM Computing Classification System...

Evolution of Sets Systems and Homotopy Groups of Spheres Еволюция на системи от множества и хомотопични групи на сферите

Stefanov, SimeonDragieva, Velika — 2012

Union of Bulgarian Mathematicians

Симеон Т. Стефанов, Велика И. Драгиева - В работата е изследвана еволюцията на системи от множества върху n-мерната евклидова сфера S^n. Установена е връзката на такива системи с хомотопичните групи на сферите. Получени са някои комбинаторни приложения за многостени. Evolution of systems of sets on the Euclidean sphere S^n is investigated. The relationship of such models with homotopy groups of spheres is established. Some combinatorial applications for polytopes are obtained. *2000...

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