Artikel
Competitive queueing systems with comparative rating dependent arrivals
We consider the joint operation of two multi-server queueing systems. Both systems provide the same type of service and compete for customers. It is assumed that the first system is controlled by ourselves while the second one is controlled by our competitor. The arriving customers are shared between the systems depending on the comparative rating of our system. The stationary behavior of the considered model under the fixed parameters of both systems and the fixed mechanism of calculation of the rating is described by a continuous-time multi-dimensional Markov chain. The stationary distribution of this Markov chain is computed. Expressions for the key performance measures of the systems are derived. Obtained results provide an opportunity to analyse possible consequences of various managerial actions aiming to maximize the profit of our system. A numerical experiment illustrates the application of the results for making a decision about the rationality of establishing and maintaining a service system while an alternative system providing the same type of service already exists.
- Sprache
-
Englisch
- Erschienen in
-
Journal: Operations Research Perspectives ; ISSN: 2214-7160 ; Volume: 7 ; Year: 2020 ; Pages: 1-9 ; Amsterdam: Elsevier
- Klassifikation
-
Wirtschaft
- Thema
-
Queueing systems
Competition
Comparative rating
Marked Markovian arrival process
Optimization
- Ereignis
-
Geistige Schöpfung
- (wer)
-
Dudin, A. N.
Dudin, S. A.
Dudina, O. S.
Samouylov, K. E.
- Ereignis
-
Veröffentlichung
- (wer)
-
Elsevier
- (wo)
-
Amsterdam
- (wann)
-
2020
- DOI
-
doi:10.1016/j.orp.2020.100139
- Handle
- Letzte Aktualisierung
-
10.03.2025, 11:43 MEZ
Datenpartner
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Objekttyp
- Artikel
Beteiligte
- Dudin, A. N.
- Dudin, S. A.
- Dudina, O. S.
- Samouylov, K. E.
- Elsevier
Entstanden
- 2020
Ähnliche Objekte (12)
Optimization of time-dependent queueing systems
Competitive versus comparative advantage
Affirmative Priority Queueing
Stability of queueing networks
Introduction to queueing theory
Analysis of M/G/1 queueing model with state dependent arrival and vacation
Two-dimensional overflow queueing systems
Stochastic processes in queueing theory
Queueing Theory in a World where most Queueing Problems are Solved by Simulation (Keynote)
Queueing systems with rationally inattentive customers
Bayesian nonparametric inference for queueing systems
A queueing model of visual search
Optimization of time-dependent queueing systems
Competitive versus comparative advantage
Affirmative Priority Queueing
Stability of queueing networks
Introduction to queueing theory
Analysis of M/G/1 queueing model with state dependent arrival and vacation
Two-dimensional overflow queueing systems
Stochastic processes in queueing theory
Queueing Theory in a World where most Queueing Problems are Solved by Simulation (Keynote)
Queueing systems with rationally inattentive customers
Bayesian nonparametric inference for queueing systems
A queueing model of visual search
Optimization of time-dependent queueing systems
Competitive versus comparative advantage
Affirmative Priority Queueing
Stability of queueing networks
Introduction to queueing theory
Analysis of M/G/1 queueing model with state dependent arrival and vacation
Two-dimensional overflow queueing systems
Stochastic processes in queueing theory
Queueing Theory in a World where most Queueing Problems are Solved by Simulation (Keynote)
Queueing systems with rationally inattentive customers
Bayesian nonparametric inference for queueing systems