Large closed queueing networks in semi-Markov environment and its application

The paper studies closed queueing networks containing a server station and $k$ client stations. The server station is an infinite server queueing system, and client stations are single-server queueing systems with autonomous service, i.e. every client station serves customers (units) only at random instants generated by a strictly stationary and ergodic sequence of random variables. The total number of units in the network is $N$. The expected times between departures in client stations are $(N\mu_j)^{-1}$. After a service completion in the server station, a unit is transmitted to the $j$th client station with probability $p_{j}$ $(j=1,2,...,k)$, and being processed in the $j$th client station, the unit returns to the server station. The network is assumed to be in a semi-Markov environment. A semi-Markov environment is defined by a finite or countable infinite Markov chain and by sequences of independent and identically distributed random variables. Then the routing probabilities $p_{j}$ $(j=1,2,...,k)$ and transmission rates (which are expressed via parameters of the network) depend on a Markov state of the environment. The paper studies the queue-length processes in client stations of this network and is aimed to the analysis of performance measures associated with this network. The questions risen in this paper have immediate relation to quality control of complex telecommunication networks, and the obtained results are expected to lead to the solutions to many practical problems of this area of research.Comment: 35 pages, 1 figure, 12pt, accepted: Acta Appl. Mat

Lightweight amorphous silicon photovoltaic modules on flexible plastic substrate

Solar cells on lightweight and flexible substrates have advantages over glass-or wafer-based photovoltaic devices in both terrestrial and space applications. Here, we report on development of amorphous silicon thin film photovoltaic modules fabricated at maximum deposition temperature of 150 degrees C on 100 mu m thick polyethylene-naphtalate plastic films. Each module of 10 cm x 10 cm area consists of 72 a-Si:H n-i-p rectangular structures with transparent conducting oxide top electrodes with Al fingers and metal back electrodes deposited through the shadow masks. Individual structures are connected in series forming eight rows with connection ports provided for external blocking diodes. The design optimization and device performance analysis are performed using a developed SPICE model

Multi-level Dynamical Systems: Connecting the Ruelle Response Theory and the Mori-Zwanzig Approach

In this paper we consider the problem of deriving approximate autonomous dynamics for a number of variables of a dynamical system, which are weakly coupled to the remaining variables. In a previous paper we have used the Ruelle response theory on such a weakly coupled system to construct a surrogate dynamics, such that the expectation value of any observable agrees, up to second order in the coupling strength, to its expectation evaluated on the full dynamics. We show here that such surrogate dynamics agree up to second order to an expansion of the Mori-Zwanzig projected dynamics. This implies that the parametrizations of unresolved processes suited for prediction and for the representation of long term statistical properties are closely related, if one takes into account, in addition to the widely adopted stochastic forcing, the often neglected memory effects.Comment: 14 pages, 1 figur

On the construction of generalized Grassmann representatives of state vectors

Generalized $Z_k$-graded Grassmann variables are used to label coherent states related to the nilpotent representation of the q-oscillator of Biedenharn and Macfarlane when the deformation parameter is a root of unity. These states are then used to construct generalized Grassmann representatives of state vectors.Comment: 8 page

Dexamethasone affect on the expression of bcl-2 and mTOR genes in T-lymphocytes from healthy donors

Synthetic glucocorticoids are able to activate apoptosis in the cells by regulating the transcription of the respective genes. Effect of dexamethasone on apoptosis is an established fact. However, its influence on another program of cell death autophagy, is currently unproven. Therefore, in this paper we have analyzed the influence of dexamethasone on the expression of bcl-2 and mTOR genes in T-lymphocytes from healthy donors. The results showed that dexamethasone reduced the expression of bcl-2 and mTOR genes. However, the nature of the effect of dexamethasone on mTOR and bcl-2 expression was different: the expression of bcl-2 gene in the long-term cultivation was maintained at the same reduced level, while the expression of mTOR was first reduced and then increased

Phylogeography and population history of the least weasel (Mustela nivalis) in the Palearctic based on multilocus analysis

The least weasel (Mustela nivalis) is one of the most widely distributed carnivorans. While previous studies have identified distinct western and eastern mitochondrial DNA (mtDNA) lineages of the species in the western Palearctic, their broader distributions across the Palearctic have remained unknown. To address the broad-scale phylogeographical structure, we expanded the sampling to populations in Eastern Europe, the Urals, the Russian Far East, and Japan, and analyzed the mtDNA control region and cytochrome b, the final intron of the zinc finger protein on Y chromosome (ZFY), and the autosomal agouti signaling protein gene (ASIP). The mtDNA data analysis exposed the previous western lineage (Clade I) but poorly supported assemblage extending across Palearctic, whereas the previous eastern lineage (Clade II) was reconfirmed and limited in the south western part of the Palearctic. The ZFY phylogeny showed a distinctive split that corresponding to the mtDNA lineage split, although less phylogeographical structure was seen in the ASIP variation. Our data concur with the previous inference of the Black Sea–Caspian Sea area having an ancestral character. The Urals region harbored high mitochondrial diversity, with an estimated coalescent time of around 100,000 years, suggesting this could have been a cryptic refugium. Based on the coalescent-based demographic reconstructions, the expansion of Clade I across the Palearctic was remarkably rapid, while Clade II was relatively stable for a longer time. It seems that Clade II has maintained a constant population size in the temperate region, and the expansive Clade I represents adaptation to the cold regions. © 2019 Blackwell Verlag GmbHJapan Society for the Promotion of Science, JSPSRussian Foundation for Basic Research, RFBRJapan Society for the Promotion of Science, JSPSAAAA‐A17‐117022810195‐3We would like to thank T. Saitoh, Y. Masuda, H. Yanagawa, F. Sekiyama, M. Takahashi, M. Hisasue, the Finnish Museum of Natural History, and the Museum at the Institute of Plant and Animal Ecology (Ural Branch of the Russian Academy of Sciences) for providing samples, and Y. Nishita for suggestions. This study was supported in part by Joint Research Project Grants from the Japan Society of the Promotion of Science (JSPS) and the Russian Foundation for Basic Research, Russian State program AAAA‐A17‐117022810195‐3, and a grant from the Joint Research Program of the Japan Arctic Research Network Center

Synthesis, Characterization and Luminescent Properties of Mg- and Cr-Doped Alumina Ceramics

The reported study was funded by RFBR according to the research project No 18-33-00085