A two‐phase queueing system with repeated attempts and Bernoulli vacation schedule
Source: International Journal of Operational Research, Volume 5, Number 4, 23 May 2009 , pp. 392-407(16)
Publisher: Inderscience Publishers
Abstract:This paper deals with the steady‐state behaviour of an M/G/1 queue with repeated attempts in which the server provides two phases of heterogeneous service under Bernoulli vacation schedule. We carry out an extensive analysis of the system, including existence of stationary regime, embedded Markov chain, steady‐state distribution of the server state and the number of customer in the orbit and some system performance measures. This model generalises both the classical M/G/1 retrial queue and the M/G/1 queue with two phases of service and Bernoulli vacation model.
Document Type: Research Article
Affiliations: 1: Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon, Guwahati – 781035, Assam, India. 2: Department of Statistics, T.H.B. College, Jamugurihat, Assam, India
Publication date: May 23, 2009