A Discrete Time (a. c, d) Policy Bulk Service Queue with State Dependent Service Rates

C. Baburaj

《International Journal of Information and Management Sciences》 22：3 (2011/09) Pp. 311-326

https://doi.org/10.6186/IJIMS.2011.22.3.8

並列摘要

This paper presents a discrete time bulk service queue under the policy (a, c, d) with state dependent service rates. The inter-arrival times are assumed to be independent and geometrically distributed. The customers are served by a single server under the policy (a, c, d) with state dependent service rates. In this model the server begins service only when there are at least c units in the queue and he serves a maximum of d units in a batch. The server continue to serve even when the queue size is less than c but not less than a secondary limit a after a service completion epoch, but with a different service rate. If after a service completion epoch the queue size is less than a, the server becomes idle. The service times are also assumed to be independent and geometrically distributed. The steady state probabilities and some performance measures of the model are computed.

並列關鍵字

(a, c, d)policy ； Discrete time queues ； state dependent service rates batch service ； geometric distribution ； steady state distribution ； expected queue length

參考文獻

Baduraj, C.(2010).A discrete time (a, c, d) policy bulk service queue.International Journal of Information and Management Sciences.21(4),469-480.

Baduraj, C.(1999).A single and batch services M/M/1 queue with a control on the batch size.International Journal of Information and Management Sciences.10(4),15-22.

Baduraj, C.,Surendranath, T. M.(2005).An M/M/1 bulk service queue under the policy (a,c,d).Int. J. Agricult. Stat.1(1 and 2),27-33.

Bruneel, H.(1993).Performance of discrete-time queueing systems.Comput. Oper. Res..20,303-320.

Bruneel, H.,Kim, B.(1993).Discrete-time Models for Communication Systems Including ATM.Kluwer Academic Publisher.