Solution of Non-homogeneous bulk arrival Two-node Tandem Queuing Model using Intervention Poisson distribution

Vol-3 | Issue-09 | September 2018 | Published Online: 07 September 2018    PDF ( 616 KB )
DOI: https://doi.org/10.5281/zenodo.1410588
Author(s)
M. Hemanth Kumar 1; M. Venkateswaran 2; Talari Ganesh 3; PRS Reddy 4

1Department of Statistics, Sri Venkateswara University, Tirupati, AP (India)

2Department of Humanities& Sciences, Sri Venkateswara College of Engineering, Tirupati, AP (India)

3Department of Mathematics, NIT Hamirpur, HP (India)

4Department of Statistics, Sri Venkateswara University, Tirupati, AP (India)

Abstract

Tandem queuing model is useful for analyzing the situations arising at banks, temples, hospitals, cargo handling, etc. However, in several communication networks, the output of one service station is an input to the other service station. That is, the service stations (transmitters) are connected in tandem. Tandem queuing models provide the basic framework for designing and monitoring of several communication systems. In this paper, it is considered and studied the two-node tandem queuing model (TNTQM) with nonhomogeneous compound Poisson bulk arrivals has studied using Intervention Poisson distribution (IPD). By applying sensitivity analysis, the system performance measures are highly influenced by non-homogenous bulk arrivals rate and batch size distribution parameters. Simulation studies showed that the intervened parameter in increasing the service rate in terms of utility, mean number of customer who undertakes service and emptiness pattern in the queue.

Keywords
Non-Homogenous Poisson process, state dependent service rates, Intervened Poisson distribution, bulk arrivals
Statistics
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