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An MX/G/1 unreliable retrial queue with two phase service and persistence behaviour of customers in service

M. Senthil Kumar;  R. Arumuganathan — 2013

RAIRO - Operations Research - Recherche Opérationnelle

This paper describes an unreliable server batch arrival retrial queue with two types of repair and second optional service. The server provides preliminary first essential service (FES) to the primary arriving customers or customers from retrial group. On successful completion of FES, the customer may opt for second optional service (SOS) with probability . The server is subject to active break downs. The customer under FES (or SOS) during the failure decides, with probability , to join the orbit()...

Performance analysis of single server non-markovian retrial queue with working vacation and constant retrial policy

V. Jailaxmi;  R. Arumuganathan;  M. Senthil Kumar — 2014

RAIRO - Operations Research - Recherche Opérationnelle

This paper analyses an M/G/1 retrial queue with working vacation and constant retrial policy. As soon as the system becomes empty, the server begins a working vacation. The server works with different service rates rather than completely stopping service during a vacation. We construct the mathematical model and derive the steady-state queue distribution of number of customer in the retrial group. The effects of various performance measures are derived.

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