A Two Node Tandem Communication Network with Feedback Having DBA and NHP Arrivals

Abstract

Abstract:The Communication Network model studied in this paper consists of two nodes connected in tandem with feedback for both the nodes. Each node has buffer and a transmitter for holding packets and for transmitting packets respectively. The packets after transmitted by the nodes may move to the next node or returned back to the same node for retransmission in feedback. It is considered that the arrival of packets at the nodes follows Non Homogeneous Poisson (NHP) process and transmission is characterized by Poisson process. Transmission rate of both nodes are adjusted before transmission by using Dynamic Bandwidth Allocation (DBA) policy. The model is evaluated using the difference-differential equations and a probability generating function of the number of packets in the buffer connected to the transmitter. Through mathematical modeling, 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, throughput of the transmitters, utilization and the variance of the number of packets in the buffer are derived under transient conditions.

Numerical Methods to Analyses of Queuing Systems with Instantaneous Feedback, Positive Server Setup Time and Impatient Calls

“…From relations (19) and (20) we find that the probabilities of the merged states π (<n>) , n ≥ 0 are calculated as follows:…”

“…Expressions for some performance measures of the system are derived and the numerical examples are presented. Similar model was used to study an open tandem communication network where each node consists of a buffer and a transmitter in Raghavendran, et al (2014) [19]. The two buffers are Q1, Q2 and transmitters are S 1, S 2 connected in tandem.…”