Geodesic
Pricing in queueing systems $M/M/m$ with delays
Contributions to game theory and management, Tome 7 (2014), pp. 214-220

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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. 
@article{CGTM_2014_7_a18,
     author = {Anna V. Melnik},
     title = {Pricing in queueing systems $M/M/m$ with delays},
     journal = {Contributions to game theory and management},
     pages = {214--220},
     publisher = {mathdoc},
     volume = {7},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2014_7_a18/}
}
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Anna V. Melnik. Pricing in queueing systems $M/M/m$ with delays. Contributions to game theory and management, Tome 7 (2014), pp. 214-220. http://geodesic.mathdoc.fr/item/CGTM_2014_7_a18/