Skinner's Method for Computing Bounds on Distributions and the Numerical Solution of Continuous-Time Queueing Problems

IEEE Transactions on Communications

Volumn 30, Issue 7, 1982, Pages 1746-1749

  Ackroyd, Martin H ^a   Kanyangarara, Raymond ^a  

^a ASTON UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

PROBABILITY;

EID: 0020152189     PISSN: 00906778     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCOM.1982.1095617     Document Type: Article

References (9)

1. C. E. Skinner, “A numerical inversion of the Pollaczek-Khintchine formula,” presented at the 33rd Nat. Meet. Oper. Res. Soc. Amer., San Francisco, CA, May 1968.
2. Brief summary of [1], Bull. Oper. Res. Soc. Amer., vol. 16, supplement 1, p. B-159, Spring 1968.
3. L. R. Kleinrock, Queueing Systems, vol. I. New York: Wiley, 1975.
4. I. Greenberg, “Distribution-free analysis of M/G/1 and G/M/l queues,” Oper. Res., vol. 21, pp. 629–635, 1973.
5. A. V. Oppenheim and R. W. Schafer, Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1975.
6. M. H. Ackroyd, “Computing the waiting time distribution for the G/G/l queue by signal processing methods,” IEEE Trans. Commun., vol. COM-28, pp. 52–58, Jan. 1980.
7. J. Ponstein, “Theory and numerical solution of a discrete queueing problem,” Statistica Neerlandica, vol. 20, pp. 139–152, 1974.
8. A. G. Konheim, “An elementary solution of the queueing system G/G/l,” SIAM J. Comput., vol. 4, pp. 540–545, 1975.
9. M. K. Molloy, “An application of the discrete Fourier transform to the discrete FCFS G//G/1 queue,” in Proc. 11th Annu. Pittsburgh Conf., Instrument Soc. Amer., 1980, pp. 755–759.