Tandem Communication Network Model with DBA having Non Homogeneous Poisson arrivals and Feedback for First Node

Abstract

In this paper, we develop a two node tandem communication network model with dynamic bandwidth allocation and feedback for the first node. In most of the communication systems, the arrivals of packets follow Non-Homogeneous and arrival rate is time dependent. In this model, the transmission rate of each transmitter depends on the number of packets in the buffer connected it. The transmission rates at each transmitter are adjusted depending upon the content of the buffer connected to it. The packets transmitted through the first transmitter may be forwarded to the buffer connected to the second transmitter or returned back to the first buffer with certain probabilities. Using the difference-differential equations the performance measures including average number of packets in each buffer, the probability of emptiness of the network, the average waiting time in the buffer and in the network, the throughput of the transmitters, and the variance of the number of packets in the buffer are calculated. It is observed that the load dependent transmission can reduce the delays in the transmission and enhance the channel capacity.

Service Strategies in Two-Server Tandem Configurations – Modeling and Investigation

“…Nowadays the tandem networks have been studied extensively and applied in the evaluation of various systems as in design, capacity planning and performance evaluation of computer and communication systems, call centers, flexible manufacturing systems, etc. Some examples of their application in real systems (two transmitter communication networks with Dynamic Bandwidth Allocation, service facility with front and back room operations) can be found in [ 28], [1] respectively. The behavior of various systems, including communication and computer systems, as well as production and manufacturing procedures, can be represented and analyzed through queuing network models to evaluate their performance [11,12,13], [29,30].…”

“…In such systems, feedback is the likelihood of a task return, with fixed probability to the first server of the tandem immediately after the service at the second one [8]. Tandems with feedback are usually more complex than the ones without and they are mostly investigated given stationary Poisson arrival process and exponential service time distribution [1], [28]. Blocking and deadlocking phenomena in an open series, linked network model with HOL (head-of-line) priority feedback service was investigated and presented by the author in [18].…”