Single-Server Queueing Model with Non-Homogeneous Compound Poisson Bulk Arrivals with Intervened Poisson Distribution

Authors

  • Hemanth Kumar M.
  • Venkateswaran M.
  • Ganesh T.
  • P.R. S. Reddy

DOI:

https://doi.org/10.37591/rrjost.v6i3.25

Abstract

Queuing models are used to analyse the practical situations in communication networks and transportation in a sophisticated manner. In most of the cases, the arrivals are time dependent and can be characterised by a non-homogenous Poisson process. In this paper, for the performance measures of a single-server queuing model with non-homogeneous compound Poisson bulk arrivals have been studied with intervened Poisson distribution. Sensitivity analysis has been carried out. It is observed that the system performance measures are highly influenced by non-homogenous arrivals rate and batch size distribution parameters.

Keywords: Non-homogenous Poisson process, bulk arrivals, state dependent service rates, intervened Poisson distribution

Cite this Article Hemanth Kumar M, Venkateswaran M, Ganesh T et al. Single-Server Queueing Model with Non-Homogeneous Compound Poisson Bulk Arrivals with Intervened Poisson Distribution. Research & Reviews: 

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Published

2017-12-04

Issue

Vol. 6 No. 3 (2017)

Section

Research Article

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