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The Moments of the M/M/s Queue Length Process |
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| Authors: | Marcellán F Pérez G |
| Institution: | (1) Departamento de Matemáticas, Universidad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganes, Madrid, Spain;(2) Departamento de Matemática Aplicada a la Telecomunicación, Escuela Universitaria de Ingeniería Técnica de Telecomunicación, Carretera de Valencia 7, 28031 Madrid, Spain |
| Abstract: | A representation for the moments of the number of customers in a M/M/s queueing system is deduced from the Karlin and McGregor representation for the transition probabilities. This representation allows us to study the limit behavior of the moments as time tends to infinity. We study some consequences of the representation for the mean. |
| Keywords: | M/M/s queue moments limit behavior orthogonal polynomials transient behavior |
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