THE PERFORMANCE ANALYSIS OF A PARALLEL COMMUNICATION NETWORK WITH PHASE TYPE TRANSMISSION HAVING NON-HOMOGENEOUS BINOMIAL BULK ARRIVALS UNDER EQUILIBRIUM CONDITIONS

[ 30 Jun 2021 | vol. 14 | no. 2 | pp. 1-20 ]

About Authors:

N. Thirupathi Rao1, Sk Meeravali2, Debnath Bhattacharyya3 and KV Satyanarayana4
-1Department of Computer Science & Engineering, Vignan’s Institute of Information Technology (A), Visakhapatnam, AP, India
-2Department of Computer Science & Engineering, Malla Reddy University, Hyderabad, Telangana, India
-3Department of Computer Science and Engineering, Koneru Laksmaiah Education Foundation, Greenfield, Vaddeswaram, Guntur-522502, India
-4Department of Computer Science and Engineering, Raghu Engineering College, Visakhapatnam, AP, India

Abstract:

In the current article, a three-node tandem and parallel communication network model having binomial bulk arrivals had developed and analyzed its performance under equilibrium conditions. The flow of packets from one node to the other nodes with respect to time is more important consideration in any network. But sometimes the network may not have the considerable amount of time to manage, consider and analyze the performance of each nodes in the network. An attempt had been made in the current article to study the performance of the current network model with various performance metrics of the network under equilibrium conditions. The messages arrived at the network are transformed into packets for forward transmission. After completing the transmission in the first node the packet may join buffer 2 or 3 which are in parallel and connected to node 1 with certain probabilities. The inter transmission time of packets in each node follows the Poisson process. The performance and behavior of the network is evaluated through deriving the explicit expression for various performance metrics of the network model like utilization of buffers at nodes, the throughput of each node, delay at each node, the total number of packets at each node etc. From the results, it is observed that the performance of the current network model is having a good impact on the network even if the transmission to the network is under equilibrium mode that is considering the network model without dependent on time.

Keywords:

Tandem Network, Equilibrium Conditions, Performance of the Model, Dynamic Bandwidth Allocation, Bulk Arrivals, Binomial Distribution, Non-Homogeneous Compound Poisson Process, Performance Evaluation

 

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