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The M/M/1/N Interdependent Queueing Model with Controllable Arrival Rates, Reverse Balking and Reverse Reneging


Affiliations
1 Department of Mathematics, St. Joseph College, Tamil Nadu, India
2 Department of Mathematics, Cauvery College for Woman, Tamil Nadu, India
 

In this Paper, an M/M/1/N interdependent queueing model with controllable arrival rates, reverse balking and reverse reneging is considered. This model is much useful in analysing the particular situations arising at the places like a data voice transmission, computer communication system etc. The steady state solution and the system characteristics are derived for this model. The analytical results are numerically illustrated and the effects of the nodal parameters on the system characteristics are studied.


Keywords

Finite Capacity, Interdependent Controllable Arrival and Service Rates, Reverse Balking, Reverse Reneging, Single Server, Bivariate Poisson Process.
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  • The M/M/1/N Interdependent Queueing Model with Controllable Arrival Rates, Reverse Balking and Reverse Reneging

Abstract Views: 138  |  PDF Views: 2

Authors

M. Thiagarajan
Department of Mathematics, St. Joseph College, Tamil Nadu, India
S. Sasikala
Department of Mathematics, Cauvery College for Woman, Tamil Nadu, India

Abstract


In this Paper, an M/M/1/N interdependent queueing model with controllable arrival rates, reverse balking and reverse reneging is considered. This model is much useful in analysing the particular situations arising at the places like a data voice transmission, computer communication system etc. The steady state solution and the system characteristics are derived for this model. The analytical results are numerically illustrated and the effects of the nodal parameters on the system characteristics are studied.


Keywords


Finite Capacity, Interdependent Controllable Arrival and Service Rates, Reverse Balking, Reverse Reneging, Single Server, Bivariate Poisson Process.