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JOURNALS // Contributions to Game Theory and Management // Archive

Contributions to Game Theory and Management, 2014 Volume 7, Pages 214–220 (Mi cgtm232)

Pricing in queueing systems $M/M/m$ with delays

Anna V. Melnik

St. Petersburg State University, Faculty of Applied Mathematics and Control Processes, Universitetskii pr. 35, St. Petersburg, 198504, Russia

Abstract: A non-cooperative $m$-person game which is related to the queueing system $ M/M/m $ is considered. There are n competing transport companies which serve the stream of customers with exponential distribution with parameters $\mu_i$, $i=1, 2,...,m$ respectively. The stream forms the Poisson process with intensity $\lambda$. The problem of pricing and determining the optimal intensity for each player in the competition is solved.

Keywords: Duopoly, equilibrium prices, queueing system.

Language: English



© Steklov Math. Inst. of RAS, 2024