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The New Analytical Model of Free Resources in the Limited Availability Resources

Nowak Błażej, Stasiak Maciej, Zwierzykowski Piotr

Journal of Telecommunications and Information Technology

2023

nr 4

102--107

The article presents a new analytical model for determining the probability of availability of a certain amount of well-defined free resources (e.g. a link) in a group of dedicated resources (e.g. a group of links) jointly serving a mixture of different classes of multiservice traffic. The presented method can be used to model access to resources in data centers, in particular in the software-defined networks, assuming – for reliability reasons – that the user should have access to a certain minimum number of specific separated resources. The proposed analytical model was verified by appropriate simulation experiments, which confirmed the satisfactory accuracy of the results obtained.

Single hysteresis model for limited-availability group with BPP traffic

Sobieraj M., Stasiak M., Weissenberg J., Zwierzykowski P.

Journal of Telecommunications and Information Technology

2013

nr 3

89--96

This paper presents a single hysteresis model for limited-availability group that are offered Erlang, Engset and Pascal traffic streams. The occupancy distribution in the system is approximated by a weighted sum of occupancy distributions in multi-threshold systems. Distribution weights are obtained on the basis of a specially constructed Markovian switching process. The results of the calculations of radio interfaces in which the single hysteresis mechanism has been implemented are compared with the results of the simulation experiments. The study demonstrates high accuracy of the proposed model.