Semi-Markov resource flow as a bit-level model of traffic

In this paper, we consider semi-Markov flow as a bit-level model of traffic. Each request of the flow brings some arbitrary distributed amount of information to the system. The current paper aims to investigate the amount of information received in semi-Markov flow during time unit. We use the asymptotic analysis method under the limit condition of growing time of observation to derive the limiting probability distribution of the amount of information received in the flow and build the approximation of its prelimit distribution function

Mathematical model of Scheduler with Semi-Markov input and bandwidth sharing discipline

In this paper, we consider single server queueing system with multiple semi-Markov inputs and buffers. Each request of the flows brings to the system some random amount of information. According to the bandwidth sharing discipline, each buffer has its own part of the throughput and the server transmits the information from buffers simultaneously. The aim of the current research is to derive the probability distribution of the amount of information in single buffer

Two models of catharsis in the cultural tradition of Europe

Introduction. The modern western socio-cultural space differs from the preceding historical eras by the absence of institutionalized practices of catharsis. This creates difficulties for representatives of contemporary culture, since the question of suffering becomes more acute in the absence of relevant purification practices. Thereby the study of catharsis models that existed in the cultural tradition of Europe is particularly important.Materials and methods. The present work methodology is based on the accepted in philosophy of culture analysis methods of primary sources and research literature.Results. The catharsis is understood as a temporary purification of a subject from the suffering through the specific experience of deliverance from the self. The self carries within negativity and illiberality, and also produces a large amount of suffering which man endures throughout life. The author distinguishes in terms of Nietzsche's philosophy the Dionysian and the Apollonian catharsis techniques. The Dionysian model implies the overcoming of the self and its further unity with the totality of being by means of an irrational act of ecstasy. On the contrary, the Apollonian catharsis technique is related to an austerity and concentration. It implies the development of contemplation powers in order to stop the spontaneous mind activity and “to mortify” the self afterwards. The catharsis practices are examined on the examples of ancient mysteries, Neoplatonism and hesychasm.Discussion. The result of the research is the distinction between two models of catharsis in the cultural tradition of Europe.Conclusion. Methodologically opposite models of catharsis are similar in their goal, which is the attaining of non-duality manifested through the absence of separation between the subject and the object after the deliverance from the self. The author considers this experience as the ultimate for human existence and calls it the “anthropological maximum”

Analysis of the amount of information in semi-Markov flow

In this paper, we consider semi-Markov flow as a model of bit-level traffic. Each request of the flow brings some arbitrary distributed amount of information. The current paper aims to investigate the amount of information received in semiMarkov flow. We use the asymptotic analysis method under the limit condition of growing time of observation to derive the limiting probability distribution of the amount of information received in the flow and build its approximation

Multi-level MMPP as a model of fractal traffic

In this paper, we propose the multi-level Markov modulated Poisson process with arbitrary distribution of the packet length as a model of fractal traffic. For the total amount of information received in multi-level MMPP, we investigate the probability distribution and present the algorithm of calculating the first and the second moments. Using asymptotic analysis method, we build Gaussian approximation of aforementioned distribution. We show that the convergence time of the probability distribution to the Gaussian distribution forms the period where the Hurst parameter is stable and reflects the self-similarity of the multi-level MMPP