Geodesic
Pricing in queueing systems $M/M/m$ with delays
Contributions to game theory and management, Tome 7 (2014), pp. 214-220 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     year = {2014},
     volume = {7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2014_7_a18/}
}
TY  - JOUR
AU  - Anna V. Melnik
TI  - Pricing in queueing systems $M/M/m$ with delays
JO  - Contributions to game theory and management
PY  - 2014
SP  - 214
EP  - 220
VL  - 7
UR  - http://geodesic.mathdoc.fr/item/CGTM_2014_7_a18/
LA  - en
ID  - CGTM_2014_7_a18
ER  - 
%0 Journal Article
%A Anna V. Melnik
%T Pricing in queueing systems $M/M/m$ with delays
%J Contributions to game theory and management
%D 2014
%P 214-220
%V 7
%U http://geodesic.mathdoc.fr/item/CGTM_2014_7_a18/
%G en
%F CGTM_2014_7_a18
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/

[1] Hotelling H., “Stability in Competition”, Economic Journal, 39 (1929), 41–57

[2] D'Aspremont C., Gabszewicz J., Thisse J.-F., “On Hotelling's “Stability in Competition””, Econometrica, 47 (1979), 1145–1150 | DOI | MR | Zbl

[3] Mazalova A. V., “Hotelling's duopoly on the plane with Manhattan distance”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2012, no. 2, 33–43 (in Russian)

[4] Altman E., Shimkin N., “Individual equilibrium and learning in processor sharing systems”, Operations Research, 46 (1998), 776–784 | DOI | Zbl

[5] Levhari D., Luski I., “Duopoly pricing and waiting lines”, European Economic Review, 11 (1978), 17–35 | DOI

[6] Hassin R., Haviv M., To Queue or Not to Queue: Equilibrium Behavior in Queueing Systems, Springer, 2003 | MR

[7] Luski I., “On partial equilibrium in a queueing system with two services”, The Review of Economic Studies, 43 (1976), 519–525 | DOI | Zbl

[8] Koryagin M. E., “Competition of public transport flows”, Autom. Remote Control, 69:8 (1986), 1380–1389 | DOI | MR

[9] Taha H. A., Operations Research: An Introduction, 9th. edition, Prentice Hall, 2011 | MR | Zbl

[10] Mazalova A. V., “Duopoly in queueing system”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2013, no. 4, 32–41 (in Russian)