Further delay moment results for fifo multiserver queues

Queueing Systems

Volumn 34, Issue 1-4, 2000, Pages 387-400

  Scheller Wolf, Alan ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Delay; Finite moments; Gi gi s queue; Reflected random walk; Service discipline; Steady state distribution; Traffic intensity

Indexed keywords

DELAY; FINITE MOMENTS; RANDOM WALK; SERVICE DISCIPLINES; STEADY-STATE DISTRIBUTIONS; TRAFFIC INTENSITY;

QUEUEING THEORY;

EID: 0034343624     PISSN: 02570130     EISSN: 15729443     Source Type: Journal    
DOI: 10.1023/A:1019125607360     Document Type: Article

References (11)

1. S.G. Foss and N. Chernova, On backwards induction and pathwise optimality of FCFS and LCFS disciplines in rnultiserver queues, Manuscript in preparation.
2. J. Kiefer and J. Wolfowitz, On the theory of queues with many servers, Trans. Amer. Math. Soc. 78 (1955) 1-18.
3. J. Kiefer and J. Wolfowitz, On the characteristics of the general queueing process with applications to random walk, Ann. Math. Statist. 27 (1956) 147-161.
4. J.F.C. Kingman, Inequalities in the theory of queues, J. Roy. Statist. Soc. Ser. B 32 (1970) 102-110.
5. T. Rolski, Stationary Random Processes Associated with Point Processes (Springer, New York, 1981).
6. A. Scheller-Wolf and K. Sigman, Delay moments for FIFO GI/GI/c queues, Queueing Systems 25 (1997) 77-95.
7. A. Scheller-Wolf and K. Sigman, New bounds for expected delay in FIFO GI/GI/c queues, Queueing Systems 28 (1997) 169-186.
8. A. Scheller-Wolf, Finite moment conditions for stationary content processes with applications to fluid models and queues, Doctoral dissertation, Department of Industrial Engineering and Operations Research, Columbia University (1996).
9. K. Sigman, Stationary Marked Point Processes: An Intuitive Approach (Chapman and Hall, New York, 1995).
10. K. Sigman and D. Yao, Finite moments for inventory processes, Ann. Appl. Probab. 4 (1994) 765-778.
11. W. Willinger, Traffic modeling for high-speed networks: Theory versus practice, in: Stochastic Networks, eds. F. Kelly and R. Williams (Springer, New York, 1994).