The M/G/1 queue with two service speeds

Advances in Applied Probability

Volumn 33, Issue 2, 2001, Pages 520-540

  Boxma, O J ^a   Kurkova, I A ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Buffer content; M G 1 queue; Regular variation; Variable speed

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; PROBABILITY; SERVERS; TELECOMMUNICATION TRAFFIC;

AVAILABLE BIT RATE (ABR);

QUEUEING THEORY;

EID: 0035359820     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/999188327     Document Type: Article

References (28)

1. Convergence rates for M/G/1 queues and ruin problems with heavy tails
2. Sampling at subexponential times with queueing applications
3. Generalized processor sharing with long-tailed traffic sources
4. Coupled processors with regularly varying service times
5. The M/M/1 queue in a heavy-tailed random environment
6. Some results on regular variation for distributions in queueing and fluctuation theory
7. Point process and partial sum convergence for weakly dependent random variables with infinite variance
8. On the asymptotic behaviour of the distributions of the busy period and service time in M/G/1
9. Calculation of the characteristics of the queue in the semi-Markovian cyclic RE
10. Steady-state distribution for the buffer content of an M/G/1 queue with varying service rate
11. On large deviation problems for sums of independent random variables not attached to the normal law
12. Source models for VBR broadcast-video traffic
13. The effect of multiple time scales and subexponentiality of MPEG video streams on queueing behaviour
14. On the self-similar nature of Ethernet traffic
15. Reliability analysis of M/G/1 queueing systems with server breakdowns and vacations
16. A queue subject to extraneous phase changes
17. Sojourn times in a processor-sharing queue with service interruptions
18. The queue M/G/1 with Markov modulated arrivals and service
19. A single server queue with service interruptions
20. A queueing-type birth-and-death process defined on a continuous-time Markov chain
21. Queueing problems with heterogeneous arrival and service