Retrial Queues Systems

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Retrial Queues have been widely investigated in different frameworks by various researches. The pioneer work on retrial queues can be found in the work of Purohit et al(2005) and survey papers by Arteljo (2000) Choi et al. (1992) considered an M/M/1 retrial queueing system in which the retrial time has a general distribution and only the customer at the head of the queue is allowed to retry for service. There has been rapid growth in the literature on retrial queues since then. Armero et al. (1998) deals with the statistical analysis from bulk arrival queues. The focus of this investigation is on the usual measures of performance of the system in equilibrium. Rajagopalan et.al (2000) investigated stochastic modeling of a wide class of finite retrial queueing systems in a Markovian environment. Artalejo et al. (2000) considered single server retrial queues with two way communication. In this investigation, incoming calls are served at poison rate and service is followed by exponential rate and if the calls finds the server busy then they join the retrial orbit. Furthermore, he obtained asymptotic formulae for the joint stationary distribution and the factorial moments. Purohit et al. (2005) investigates an M/M/1 retrial queue with constant retrial rate, unreliable server and the threshold based recovery with state dependent arrival rates. Any arriving customer who finds the server busy, enters into the retrial orbit. The retrial policy is assumed to be independent of the number of customers in the orbit. The retrial policy is assumed to be independent of the number of customers in the orbit. The retrial policy is assumed to be independent of the number of customers the orbit. In this active breakdown which follo... ... middle of paper ... ...and Bhargava(2008):Bulk Arrival Retrial Queue with Unreliable Server and Priority Subscribers, International Journal of Operational Research, vol. 5, No 4, 242-259(2008) Gomez,Coural, Antonio(1999): Stochastic analysis of a single server retrial queue with general retrial times, Naval Research Logistics (NRL) 46(5), pp 561-581. ISSN 0894-069X Djellab(2005):On the single server Retrial queue,Yugoslav Journal of operational research, 16(2006), Number, 45-53 Li,Tao and Zaiming ,L. (2012): M/M/1 retrial queue with working vacation interruption under N policy, Cambridge Journal, vol.46, no.4, pp. 355-371. Artelejo,J.R (1999 a):A classical bibliography of research on retrial queues, Math. Comput. Model, vol. 30,pp 1-6 Kumar, Raja (2006): On Multiserver feedback retrial queue with balking and control retrial rate, Ann oper res(2006), 141:211-232.

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