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Contributions to Game Theory and Management, 2014, Volume 7, Pages 214–220
(Mi cgtm232)
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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.
Citation:
Anna V. Melnik, “Pricing in queueing systems $M/M/m$ with delays”, Contributions to Game Theory and Management, 7 (2014), 214–220
Linking options:
https://www.mathnet.ru/eng/cgtm232 https://www.mathnet.ru/eng/cgtm/v7/p214
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Statistics & downloads: |
Abstract page: | 188 | Full-text PDF : | 114 | References: | 42 |
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