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Transient Analysis of an Interdependent Forked Tandem Queuing Model with Load Dependent Service Rate
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 34 - Number 3 |
| Year of Publication: 2011 |
| Authors: K.Srinivasa Rao, M.Govinda Rao, K.Naveen Kumar |
10.5120/4081-5880
|
K.Srinivasa Rao, M.Govinda Rao, K.Naveen Kumar . Transient Analysis of an Interdependent Forked Tandem Queuing Model with Load Dependent Service Rate. International Journal of Computer Applications. 34, 3 ( November 2011), 33-40. DOI=10.5120/4081-5880
Abstract
In this paper, we develop and analyze an interdependent forked queueing model with state dependent service times. Here, it is assumed that the arrival and service processes are correlated and follows a multivariate poisson process. Using the difference-differential equations, the joint probability generating function of the number of customers in each queue is derived. The system performance like the average number of customers in each queue, the average waiting time of a customer, the throughput of each service station, the idleness of the servers are derived explicitly. The sensitivity analysis of the model reveals that the dependency parameter and state dependent service rates can reduce congestion in queues and average waiting time of the customer. This model also includes some of the earlier models as particular cases for specific values of the parameters. The forked queueing models are much useful for analyzing and monitoring several communication networks and production processes.
References
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