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System content and packet delay in discrete-time queues with session-based arrivals

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Organization
Abstract
This paper considers a discrete-time queueing model with infinite storage capacity and one single output line. Users can start and end sessions during which they are active and send packets to the queueing system. Each active user generates a random but strictly positive number of packets per time slot: this results in a session-based arrival process of packets. This model can for instance be applied to study the traffic of a file server where one file download by a user corresponds to one session. The steady-state probability generating functions of the number of active sessions, buffer occupancy (number of packets stored in the buffer) and packet delay are derived. We also derive an approximation for the tail probabilities of the buffer occupancy. This allows us to study the influence of the different system parameters: some examples are presented.
Keywords
TRAIN ARRIVALS, WAITING-TIMES, MESSAGE DELAYS, PROBABILITIES, BUFFERS

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Chicago
Hoflack, Laurence, Stijn De Vuyst, Sabine Wittevrongel, and Herwig Bruneel. 2008. “System Content and Packet Delay in Discrete-time Queues with Session-based Arrivals.” In Proceedings of the Fifth International Conference on Information Technology: New Generations, 1053–1058. Los Alamitos, CA, USA: IEEE COMPUTER SOC.
APA
Hoflack, Laurence, De Vuyst, S., Wittevrongel, S., & Bruneel, H. (2008). System content and packet delay in discrete-time queues with session-based arrivals. PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY: NEW GENERATIONS (pp. 1053–1058). Presented at the 5th International Conference on Information Technology - New Generations, Los Alamitos, CA, USA: IEEE COMPUTER SOC.
Vancouver
1.
Hoflack L, De Vuyst S, Wittevrongel S, Bruneel H. System content and packet delay in discrete-time queues with session-based arrivals. PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY: NEW GENERATIONS. Los Alamitos, CA, USA: IEEE COMPUTER SOC; 2008. p. 1053–8.
MLA
Hoflack, Laurence, Stijn De Vuyst, Sabine Wittevrongel, et al. “System Content and Packet Delay in Discrete-time Queues with Session-based Arrivals.” Proceedings of the Fifth International Conference on Information Technology: New Generations. Los Alamitos, CA, USA: IEEE COMPUTER SOC, 2008. 1053–1058. Print.
@inproceedings{397289,
  abstract     = {This paper considers a discrete-time queueing model with infinite storage capacity and one single output line. Users can start and end sessions during which they are active and send packets to the queueing system. Each active user generates a random but strictly positive number of packets per time slot: this results in a session-based arrival process of packets. This model can for instance be applied to study the traffic of a file server where one file download by a user corresponds to one session. The steady-state probability generating functions of the number of active sessions, buffer occupancy (number of packets stored in the buffer) and packet delay are derived. We also derive an approximation for the tail probabilities of the buffer occupancy. This allows us to study the influence of the different system parameters: some examples are presented.},
  author       = {Hoflack, Laurence and De Vuyst, Stijn and Wittevrongel, Sabine and Bruneel, Herwig},
  booktitle    = {PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY: NEW GENERATIONS},
  isbn         = {978-0-7695-3099-4},
  language     = {eng},
  location     = {Las Vegas, NV, USA},
  pages        = {1053--1058},
  publisher    = {IEEE COMPUTER SOC},
  title        = {System content and packet delay in discrete-time queues with session-based arrivals},
  year         = {2008},
}

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