题名

A Discrete Time (a, c, d) Policy Bulk Service Queue

DOI

10.6186/IJIMS.2010.21.4.6

作者

C. Baburaj

关键词

(a, c, d) Policy ; Discrete Time Queues ; Batch Service ; Geometric Distribution ; Steady State Distribution ; Expected Queue

期刊名称

International Journal of Information and Management Sciences

卷期/出版年月

21:4(2010 / 12 / 01)

页次

469 - 480

内容语文

英文

英文摘要

This paper presents a discrete time bulk service queue under the policy (a, c, d). The interarrival times are assumed to be independent and geometrically distributed. The customers are served by a single server under the policy (a, c, d). 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. 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.

主题分类 基礎與應用科學 > 資訊科學
社會科學 > 管理學
参考文献
  1. Baburaj, C., An (a, c, d) policy bulk service queue with delayed vacation, (communicated)..
  2. Baburaj, C.(2010).An M/G/1 single and batch service queue under the policy (a, c, d).International Journal of Agriculture and Statistical Sciences,6(2)
  3. Baburaj, C. A(1999).single and batch service M/M/1 queue with a control on the batch size.International Journal of Information and management Sciences,10(4),15-22.
  4. Baburaj, C.,Surendranath, T. M.(2005).An M/M/1 bulk service queue under the policy (a, c, d).Int. J. Agricult. Stat,1(2),27-33.
  5. Bruneel, H.(1993).Performance of discrete-time queueing systems.Comput. Oper. Res.,20,303-320.
  6. Bruneel, H.,Kim, B.(1993).Discrete-time Models for Communication Systems Including ATM.Kluwer Academic Publishers.
  7. Chaudhry, M. L.,Chang, S. H.(2003).Analysis of the discrete-time bulk-service queue Geo=GY=1=n+B.Oper. Res. Lett.,20
  8. Chaudhry, M. L.,Templeton, J. G. C.(1983).A First Course in Bulk Queues.New York:John Wiley and Sons.
  9. Choi, B. D.,Choi, D. I.,Lee, Y.,Sung, D. K.(1998).Priority queueing system with xed-length packet-train arrivals.IEE Proceedings-Communications,145(5),331-336.
  10. Choudhury, G.(2003).A batch arrival queueing system with an additional service channe.International Journal of Information and Management Sciences,14(2),17-30.
  11. Denteneer, T. J. J.,Janssen, A. J. E. M.,van Leeuwaarden, J. S. H..Moment series inequalities for the discretetime multi-server queue. Eurandom report series 017.Math. Meth. Oper. Res.
  12. Dshalalow, J. H.(1997).Frontiers in queueing.Boca Raton, Florida:CRC Press.
  13. Goswamy, V.,Samanata, S. K.(2009).Discrete-time single and batch service queues with accessibility to the batches.International Journal of Information and Management Sciences,20,27-38.
  14. Gupta, U. C.,Goswami, V.(2002).Performance analysis of .nite bu. er discrete-time queue with bulk service.Comput. Oper. Res.,29,1331-1341.
  15. Hwang, G. U.,Sohraby, K.(2003).Power tail aymptotic results of a discrete time queue with long range dependent input.J. Korean Math. Soc.,40(1),87-107.
  16. Lee, Y.(2001).Discrete-time GeoX/G/1 queue with preemptive resume priority.Math. Comput. Modelling,34,243-250.
  17. Lee, Y.,Choi, B. D.(2001).Queueing system with multiple delay and loss priorities for ATM networks.Inform. Sci.,138(1-4),7-29.
  18. Lee, Y.,Kim, H.,Huh, J. D.(2003).Discrete-time GeoX/G/1 queue with nonpreemptive priority.Comput. Math. Appl.,46(10-11),1625-1632.
  19. Lee, Y.,Lee, K. S.(2003).Discrete-time GeoX/G/1 queue with preemptive repeat different priority.Queueing Syst. Theory Appl.,44(4),399-411.
  20. Norimatsu, T, H. Takagi,H. R. Gail(2002).Performance analysis of the IEEE 1394 serial bus.Performance Evaluation,50,1-26.
  21. Shrader, B.,Ephremides, A.(2006).On the queueing delay of a multicast erasure channel.IEEE Information Theory Workshop (ITW),Chengdu:
  22. Takagi, H.(1993).Queueing Analysis Vol.3: Discrete-time systems.Amsterdam:North-Holland.
  23. Zhao, Y. Q.,Campbell, L. L.(1996).Equilibrium probability calculations for a discrete-time bulk queue model.Queueing Systems,22,189-198.
被引用次数
  1. Baburaj, C.(2011).A Discrete Time (a, c, d) Policy Bulk Service Queue with State Dependent Service Rates.International Journal of Information and Management Sciences,22(3),311-326.