arXiv subjects

Oleksii Ignatenko

Publications and source records attributed to Oleksii Ignatenko.

2 recordsLinked to original sources

arXiv2017

Evolutionary game of N competing AIMD connections

This paper deals with modeling of network's dynamic using evolutionary games approach. Today there are many different protocols for data transmission through the Internet, providing users with better or worse service. The process of choosing better protocol could be considered as a dynamic game with players (users), trying to maximize their payoffs (eg throughput). In this work we presented the model of network's dynamic using differential equations with discontinuous right side and proved existence and uniqueness of the solution, formulated payoff matrix for a network game and found conditions of equilibrium existence depending on loss sensitivity parameter. The results are illustrated by simulations

cs.GT↗

arXiv2009

On Problem of Conflict Interaction of Two Players in the Network Environment

In this work the single server model with counteraction is considered. We extend the classic fluid model using results from the theory of conflict controlled processes. Our new model describes conflict processes in neworks. For this model were defined two players - an attacker and a defender. Dynamic of the system depends on strategies of these players. There are formulated conditions that guarantee possibility of winning of one player. This fact proved by the main theorem. Theoretical results were illustrated on the experimental computational modeling.

math.OC↗