APPROXIMATIONS TO PERFORMANCE MEASURES IN QUEUING SYSTEMS

Autor: Kambo, N. S., Rangan, A., Moghimihadji, E.
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: South African Journal of Industrial Engineering, Vol 23, Iss 3, Pp 30-41 (2012)
Druh dokumentu: article
ISSN: 1012-277X
2224-7890
DOI: 10.7166/23-3-509
Popis: Approximations to various performance measures in queuing systems have received considerable attention because these measures have wide applicability. In this paper we propose two methods to approximate the queuing characteristics of a GI/M/1 system. The first method is non-parametric in nature, using only the first three moments of the arrival distribution. The second method treads the known path of approximating the arrival distribution by a mixture of two exponential distributions by matching the first three moments. Numerical examples and optimal analysis of performance measures of GI/M/1 queues are provided to illustrate the efficacy of the methods, and are compared with benchmark approximations.
Databáze: Directory of Open Access Journals