Open AccessPerformance Measures of State Dependent MMPP/M/1 Queue
Author(s) -
R. Sakthi,
V. Vidhya,
K. Mahaboob Hassain Sherieff
Publication year - 2018
Publication title -
international journal of engineering and technology
Language(s) - English
Resource type - Journals
ISSN - 2227-524X
DOI - 10.14419/ijet.v7i4.10.26632
Subject(s) - queue , computer science , poisson distribution , fork–join queue , markov chain , markovian arrival process , real time computing , burke's theorem , bulk queue , exponential distribution , phase type distribution , stationary distribution , state (computer science) , service (business) , mathematics , algorithm , computer network , queue management system , statistics , economy , machine learning , economics
In this research work we are concerned with single unit server queue queue with Markov Modulated process in Poisson fashion and the service time follow exponential distribution. The system is framed as a state dependent with the arrival process as Markov Modulated input and service is rendered by a single server with variation in service rate based on the intensity of service state of the system. The rate matrix that is essential to compute the stationary probability vector is obtained and various performance measures are computed using matrix method.