Comparative analysis of analytical (Voltaire integral equations and by Markov chains), numerical (Python, Olympus2, and Mathematica), and simulation (OMNeT++ and FlexSim) approaches to the time characteristics of the length of the first buffer overflow... [1]

The work carried out under the project will enable the creation of code in Python, Java (Olympus2) and Mathematica, the functionality of which will enable symbolic and numerical calculations to be performed, leading to graphs depicting the buffer overflow time characteristics of the M/G/1/N queuing model with a multiple outage policy. In addition, analytical formulas describing these characteristics of the queuing model will be created, and their derivation will be based on Voltaire's integral equation and Markov chains. Simulations in the OMNet++ and FlexSim environments will also be created, and these will be used for comparative analysis of the results achieved with the analytical formulas and the numerical calculations performed for these formulas.