Transient Analysis of M/M/1/N Queue - An Alternative Approach

A.M.K. Tarabia

doi:10.6180/jase.2000.3.4.05

Transient Analysis of M/M/1/N Queue - An Alternative Approach

Mathematics / Statistics

A.M.K.Tarabia¹

¹Department of Mathematics, Damietta Faculty of Science, New Damietta, Egypt.

Received: November 23, 2000
Accepted: December 20, 2000
Publication Date: December 20, 2000

Download Citation: ||https://doi.org/10.6180/jase.2000.3.4.05

ABSTRACT

An alternative simple approach to Takâcs [8] procedure , which appears to economize in algebra is given. It is also shown that the measures of effectiveness such as the first and second order moments of the queue length can be easily obtained in a elegant closed form.

Keywords: Transient, Chebychev's polynomail, recurrence relations, Laplace transform

REFERENCES

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[9] Tarabia, A. M. K., On the transient behaviour of a double-ended Markovian queue, Communicated, (2000).