Far East Journal of Theoretical Statistics
Volume 10, Issue 1, Pages 43 - 61
(May 2003)
|
|
INTERDEPENDENT HETEROGENEOUS QUEUEING MODEL WITH FINITE SOURCE
K. Srinivasa Rao (India), P. Srinivasa Rao (India) and C. S. S. R. L. Hanumantha Rao (India)
|
Abstract: In this paper we introduce an
interdependent queueing model with heterogeneous arrivals. These models are much
useful in designing and efficient operation of many practical systems arising at
places like manufacturing, production processes, data voice transmission,
computer communication networks and transportation etc. The Laplace
transformations of the system state probabilities of the model are derived. The
steady state solution of the model is also derived and system characteristics
are obtained explicitly. It is observed that the mean dependent rate between
arrival and service processes has an influence on the system behaviour of the
model. This model also includes the earlier models as particular cases for
specific values of the parameters. |
Keywords and phrases: interdependent queue, Laplace transformations, steady state, system size. |
|
Number of Downloads: 262 | Number of Views: 898 |
|