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JOURNALS // Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya // Archive

Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2013 Issue 4, Pages 32–41 (Mi vspui153)

This article is cited in 3 papers

Applied mathematics

Duopoly in queueing system

A. V. Mazalova

St. Petersburg State University, 199034 St. Petersburg, Russian Federation

Abstract: A non-cooperative two-person game which is related to the queueing system $ M/M/2 $ is considered. There are two services 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 firm in the competition and cooperation is solved. Increase of the number of players is also carried out. Bibliogr. 9. Tabl. 4.

Keywords: duopoly, equilibrium prices, queueing system.

UDC: 519.833.2

Received: May 30, 2013



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