Reduced-load equivalence for queues with gaussian input

Queueing Systems

Volumn 49, Issue 3-4, 2005, Pages 405-414

  Dieker, A B ^a,b  

^a CWI   (Netherlands)

^b UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

Extremes; Gaussian processes; Large deviations; Regular variation; Ruin probabilities

Indexed keywords

GAUSSIAN NOISE (ELECTRONIC);

EXTREMES; GAUSSIAN PROCESSES; LARGE DEVIATIONS; REGULAR VARIATIONS; RUIN PROBABILITY;

GAUSSIAN DISTRIBUTION;

EID: 18244363075     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1007/s11134-005-6973-x     Document Type: Article

References (16)

1. R. Agrawal, A. Makowski and Ph. Nain, On a reduced load equivalence for fluid queues under subexponentiality, Queueing Syst. 33 (1999) 5-41.
2. S. Asmussen, C. Klüppelberg and K. Sigman, Sampling at subexponential times, with queueing applications, Stochastic Process. Appl. 79 (1999) 265-286.
3. N.H. Bingham, C.M. Goldie and J.L. Teugels, Regular Variation (Cambridge University Press, Cambridge, 1989).
4. P. Cheridito, Mixed fractional Brownian motion, Bernoulli 7 (2001) 913-934.
5. A.B. Dieker, Conditional limit theorems for queues with Gaussian input, a weak convergence approach, Stochastic Process. Appl. (2005) (to appear).
6. A.B. Dieker, Extremes of Gaussian processes over an infinite horizon, Stochastic Process. Appl. 115 (2005) 207-248.
7. J. Hüsler and Ch. M. Schmid, Extreme values of a portfolio of Gaussian processes and a trend, Preprint (2004).
8. M. Huzak, M. Perman, H. Šikić and Z. Vondraček, Ruin probabilities and decompositions for general perturbed risk processes, Annals of Applied Probability 14 (2004) 1378-1397.
9. P. Jelenković and A. Lazar, Asymptotic results for multiplexing subexponential on-off processes, Adv. in Appl. Probab. 31 (1999) 394-421.
10. P. Jelenković and P. Momčilović, Large deviation analysis of subexponential waiting times in a processor-sharing queue, Math. Oper. Res. 28 (2003) 587-608.
11. P. Jelenković and P. Momčilović. Large deviations of square root insensitive random sums, Math. Oper. Res. 29 (2004) 398-406.
12. P. Jelenković, P. Momčilović, and B. Zwart, Reduced load equivalence under subexponentiality, Queueing Syst. 46 (2004) 97-112.
13. T. Konstantopoulos and V. Anantharam, Optimal flow control schemes that regulate the burstiness of traffic, IEEE/ACM Transactions on Networking 3 (1995) 423-432.
14. H. Schmidli, Distribution of the first ladder height of a stationary risk process perturbed by α-stable Levy motion, Insurance Math. Econom. 28 (2001) 13-20.
15. H. Yang and L. Zhang, Spectrally negative Levy processes with applications in risk theory, Adv. in Appl. Probab. 33 (2001) 281-291.
16. B. Zwart, S. Borst and K. Dȩbicki, Reduced-load equivalence for Gaussian processes, Oper. Res. Lett. (2005) (to appear).