Exact asymptotics for ki-limited exponential polling models

Queueing Systems

Volumn 42, Issue 4, 2002, Pages 401-419

  Chang, Woojin ^a   Down, Douglas G ^b  

^a Georgia Institute of Technology   (United States)

^b MCMASTER UNIVERSITY   (Canada)

Author keywords

Asymptotic behavior; Limited service; Polling models

Indexed keywords

ARRIVAL RATES; ASYMPTOTIC BEHAVIORS; ASYMPTOTIC EXPRESSIONS; EQUAL SERVICES; LIMITED SERVICE; POLLING MODEL; QUEUE LENGTHS; TWO CLASSES OF CUSTOMERS;

QUALITY OF SERVICE;

EID: 0036424892     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1023/A:1020993322286     Document Type: Article

References (13)

1. O.J. Boxma H. Takagi, eds., Special Issue on Polling Systems, Queueing Systems 11 (1992).
2. W. Chang, Polling networks with limited service policies and wavelet-based information fusion and dimension reduction, Ph.D. thesis, School of Industrial and Systems Engineering, Georgia Institute of Technology (2002).
3. W. Chang and D.G. Down, Asymptotics of polling models with limited service policies, in: Proc. of the 39th IEEE Conf. on Decision and Control, Sydney, Australia, December 2000.
4. W. Chang, D. Down and R.D. Foley, Exact asymptotics for 1-limited exponential polling models, in: Proc. of the 37th Annual Allerton Conf. on Communications, Control, and Computing, Urbana, IL, September 1999.
5. G.L. Choudhury and W. Whitt, Computing distributions and moments in polling models by numerical transform inversion, Performance Evaluation 25 (1996) 267-292.
6. D. Down and S.P. Meyn, Stability of acyclic multiclass queueing networks, IEEE Trans. Automat. Control 40 (1995) 916-919.
7. N.G. Duffield, Exponents for the tails of distributions in some polling models, Queueing Systems 26 (1997) 105-119.
8. R.D. Foley and D. McDonald, Join the shortest queue: Stability and exact asymptotics, Ann. Appl. Probab. 11 (2001) 569-607.
9. V.G. Kulkarni, Modeling and Analysis of Stochastic Systems (Chapman & Hall, London, 1995).
10. H. Levy and M. Sidi, Polling systems: Applications, modeling, and optimization, IEEE Trans. Commun. 38 (1990) 1750-1760.
11. D. McDonald, Asymptotics of first passage times for random walk in a quadrant, Ann. Appl. Probab. 9 (1999) 110-145.
12. S.P. Meyn, Transience of multiclass queueing networks via fluid limit models, Ann. Appl. Probab. 5 (1996) 946-957.
13. S.P. Meyn and R.L. Tweedie, Markov Chains and Stochastic Stability (Springer, London, 1993).