A note on large-buffer asymptotics for generalized processor sharing with Gaussian inputs

Queueing Systems

Volumn 55, Issue 4, 2007, Pages 251-254

  Dębicki, Krzysztof ^a   Mandjes, Michel ^b  

^a UNIVERSITY OF WROC AW   (Poland)

^b UNIVERSITY OF AMSTERDAM   (Netherlands)

Author keywords

Fractional Brownian motion; Generalized processor sharing

Indexed keywords

ASYMPTOTICS; FRACTIONAL BROWNIAN MOTION; GAUSSIAN INPUTS; GENERALIZED PROCESSOR SHARING; LARGE BUFFER; TANDEM SYSTEM;

EID: 34249095580     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1007/s11134-007-9021-1     Document Type: Article

References (8)

1. Borst, S., Boxma, O., Jelenković, P.: Induced burstiness in generalized processor sharing queues with long-tailed traffic flows. In: Proc. 37th Annual Allerton Conference on Communication, Control, and Computing, pp. 316-325 (1999)
2. Borst, S., Mandjes, M., van Uitert, M.: Generalized Processor Sharing queues with heterogeneous traffic classes. Adv. Appl. Probab. 35, 806-845 (2003)
3. Dȩbicki, K., van Uitert, M.: Large buffer asymptotics for generalized processor sharing queues with Gaussian inputs. Queueing Syst. 54, 111-120 (2006)
4. Mandjes, M., Mannersalo, P., Norros, I.: Gaussian tandem queues with an application to dimensioning of switch fabrics. Comput. Netw. 51, 781-797 (2007)
5. Mandjes, M., Mannersalo, P., Norros, I., van Uitert, M.: Large deviations of infinite intersections of events in Gaussian processes. Stoch. Process. Appl. 116, 1269-1293 (2005)
6. Mandjes, M., van Uitert, M.: Sample-path large deviations for tandem and priority queues with Gaussian inputs. Ann. Appl. Probab. 15, 1193-1226 (2005)
7. Wischik, D., Ganesh, A.: The calculus of Hurstiness. Available from http://www.cs.ucl.ac.Uk/staff/D.Wischik/Research/hurstiness.pdf
8. Zhang, Z.-L.: Large deviations and the Generalized Processor Sharing scheduling for a two-queue system. Queueing Syst. 26, 229-245 (1997)