On servers in series with losses in discrete time

On servers in series with losses in discrete time

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Article ID: iaor20071502
Country: Germany
Volume: 67
Issue: 9
Start Page Number: 1500
End Page Number: 1511
Publication Date: Sep 2006
Journal: Automation and Remote Control
Authors: ,
Keywords: queueing networks
Abstract:

We study an m-phase queueing system without buffers, operating in discrete time. The input flow is Bernoulli with parameter a. Service times in server i have geometric distribution with parameter bi. A customer, trying to enter a server at an instant, when it is busy, is lost. There have been obtained system of equilibrium equations and recurrence relations for its coefficients which enable us to formulate the algorithm to build the system. Recurrence formulas for computation of the empty system probability and some other performance characteristics of the system, are determined. The problem of optimal allocation of the servers is studied numerically.

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