Geodesic
Pricing and Transportation Costs in Queueing System
Contributions to game theory and management, Tome 6 (2013), pp. 301-306

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A non-cooperative four-person game which is related to the queueing system $ M/M/2 $ is considered. There are two competing stores and two competing transport companies which serve the stream of customers with exponential distribution with parameters $\mu_1$ and $\mu_2$ 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_2013_6_a22,
     author = {Anna V. Mazalova},
     title = {Pricing and {Transportation} {Costs} in {Queueing} {System}},
     journal = {Contributions to game theory and management},
     pages = {301--306},
     publisher = {mathdoc},
     volume = {6},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2013_6_a22/}
}
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Anna V. Mazalova. Pricing and Transportation Costs in Queueing System. Contributions to game theory and management, Tome 6 (2013), pp. 301-306. http://geodesic.mathdoc.fr/item/CGTM_2013_6_a22/