Open AccessAnalysis of the Arrival Geo/G/1queue with Geometric Distributed Multiple
Author(s) -
O. P. Singh,
Kapil Kumar Bansal,
Satish Kumar,
Sohan Lal Tyagi,
Rudraman
Publication year - 2020
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.e3068.049620
Subject(s) - markov chain , point (geometry) , distribution (mathematics) , state space , computer science , boundary (topology) , domain (mathematical analysis) , geometric distribution , markov process , state (computer science) , process (computing) , point process , probability distribution , statistical physics , mathematics , algorithm , geometry , mathematical analysis , statistics , physics , machine learning , operating system
The paper represents a batch appearance Geo/G/1 queuing structure with Geometric distribution numerous working arrival model is analysis. The organization distribution is inferred by utilizing the Markov chain process, different execution measures including expected organization size are determined. The distribution of the system states observed that such specific points is in reality indistinguishable with the distribution of the system states noticed at an capricious point on the continuous time domain. This is because an capricious point on the continuous time space falls somewhere in the halfway of a slot with probability 1. The organization state noticed at such a point is equivalent to that noticed immediately after the preceding slot boundary.