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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
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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.
Document Type: Article
Language: English
Citation: Anna V. Melnik, “Pricing in queueing systems $M/M/m$ with delays”, Contributions to Game Theory and Management, 7 (2014), 214–220
Citation in format AMSBIB
\Bibitem{Mel14}
\by Anna~V.~Melnik
\paper Pricing in queueing systems $M/M/m$ with delays
\jour Contributions to Game Theory and Management
\yr 2014
\vol 7
\pages 214--220
\mathnet{http://mi.mathnet.ru/cgtm232}
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  • https://www.mathnet.ru/eng/cgtm/v7/p214
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