Transient analysis of M/M/1/N queue - An alternative approach

Tamkang Journal of Science and Engineering

Volumn 3, Issue 4, 2000, Pages 263-266

  Tarabia, A M K ^a  

^a DAMIETTA UNIVERSITY   (Egypt)

Author keywords

Chebychev's polynomail; Laplace transform; Recurrence relations; Transient

Indexed keywords

CHEBYSHEV APPROXIMATION; EIGENVALUES AND EIGENFUNCTIONS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; POLYNOMIAL APPROXIMATION; QUEUEING THEORY; VECTORS;

CHEBYCHEV POLYNOMIAL; RECURRENCE RELATIONS; TRANSIENT;

ALGEBRA;

EID: 2942628069     PISSN: 15606686     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. Abromowitz, M. and Stegun, I. A., Handbook of Mathematical Functions. New York, Dover, (1970).
2. Gross, D. and Harris, C. M., Fundamentals of Queuing Theory. John Wiley & Sons, New York, (1974).
3. Morse, P. M., Queues, Inventories and Maintenance. Wiley, New York, (1958)
4. Sharma, O. P., Markovian Queues. Ellis Horwood Ltd., England, (1990).
5. Sharma, O. P. and Dass, J., Multiserver Markovian queue with finite waiting space. Sankhya, Ser.B 50, pp. 428-431, (1989).
6. Sharma, O. P. and Gupta, U. C., Transient behaviour of an M/M/1/N queue, Stoch. Process and their Application, 13, pp. 327-331, (1982).
7. Sharma, O. P. and Tarabia, A. M. K., A simple transient analysis of an M/M/1/N queue, Sankhya Ser. A, Vol. 62, Pt. 2, pp. 273-281, (2000).
8. Takâcs, L., Introduction to the theory of queues, Oxford University Press, (1960).
9. Tarabia, A. M. K., On the transient behaviour of a double-ended Markovian queue, Communicated, (2000).