A Lévy-Driven Stochastic Queueing System with Server Breakdowns and Vacations
Abstract
:1. Introduction
2. Preliminaries on Lévy Processes
- 1.
- (a.s.);
- 2.
- X has stationary and independent increments;
- 3.
- X is continuous in probability, i.e., for all and for all ,
3. Model Formulation
4. The Steady-State Distribution
5. The Transient Distribution
6. Stochastic Decompositions
7. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Peng, Y.; Wu, J. A Lévy-Driven Stochastic Queueing System with Server Breakdowns and Vacations. Mathematics 2020, 8, 1239. https://doi.org/10.3390/math8081239
Peng Y, Wu J. A Lévy-Driven Stochastic Queueing System with Server Breakdowns and Vacations. Mathematics. 2020; 8(8):1239. https://doi.org/10.3390/math8081239
Chicago/Turabian StylePeng, Yi, and Jinbiao Wu. 2020. "A Lévy-Driven Stochastic Queueing System with Server Breakdowns and Vacations" Mathematics 8, no. 8: 1239. https://doi.org/10.3390/math8081239