|
Symmetric Nash equilibrium arrivals to queuing system
Julia V. Chirkova Institute of Applied Mathematical Research, Karelian Research Centre of RAS, Pushkinskaya str., 11, Petrozavodsk, Karelia, 185910, Russia
Abstract:
We consider a game-theoretic setting for the queuing system models where input process of arrivals is strategic. This paper generalizes a methodology for the symmetric Nash equilibrium exploring in queuing system with loss. We assume that the system admits customer requests at the time interval $[0,T]$. Each of customers chooses the moment to send his request into the system maximizing his payoff. Several models of certain systems are presented as examples demonstrating a result of the methodology application.
Keywords:
queueing system, strategic customers, optimal arrivals, Kolmogorov backward equations, Nash equilibrium.
Citation:
Julia V. Chirkova, “Symmetric Nash equilibrium arrivals to queuing system”, Contributions to Game Theory and Management, 16 (2023), 53–60
Linking options:
https://www.mathnet.ru/eng/cgtm439 https://www.mathnet.ru/eng/cgtm/v16/p53
|
|