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Section A

A single server queue with a varying gate mechanism

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Pages 1217-1227 | Received 18 Aug 2006, Accepted 18 Mar 2008, Published online: 01 Oct 2008

References

  • Andrews , M. , Kumaran , K. , Ramanan , K. , Stolyar , A. , Vijayakumar , R. and Whiting , P. 2004 . Scheduling a queueing system with asynchronously varying service rates . Prob. Eng. Inf. Sci. , 18 : 191 – 217 .
  • Avi-Itzhak , B. and Halfin , S. 1989 . Response times in gated M/G/1 queues: the processor-sharing case . Queue. Syst. , 4 : 263 – 279 .
  • Cohen , J. W. 1982 . The Single Server Queue , Amsterdam : North Holland .
  • Iftikhar , M. , Landfeldt , B. and Caglar , M. An alternating service model with self-similar input to provide guaranteed QoS in wireless internet . Second IEEE/IFIP International conference in Central Asia on Internet . pp. 1 – 7 .
  • Jones , W. B. and Thron , W. J. 1980 . Continued Fractions: Analytic Theory and Applications, Encyclopedia of Mathematics and its Applications , Vol. 11 , MA, USA : Addison Wesley .
  • Keiding , N. and Nielson , J. E. 1975 . Branching processes with varying and random offspring distributions . J. Appl. Prob. , 1 : 135 – 141 .
  • Kendall , D. G. 1957 . Some problems in theory of queues . J. Royal Stat. Soc. Ser. B (Methodological) , 13 : 151 – 185 .
  • Lorentzen , L. and Waadeland , H. 1992 . Continued fractions with applications . Stud. Comput. Math. , 3 North-Holland Publishing Co., Amsterdam
  • Neuts , M. F. 1969 . The queue with Poisson input and general service times, treated as a branching process . Duke Math. J. , 36 : 215 – 231 .
  • Palmowski , Z. , Schlegel , S. and Boxma , O. 2003 . A tandem queue model with a gate mechanism . Queue. Syst. , 43 : 349 – 364 .
  • Parthasarathy , P. R. and Lenin , R. B. “ Birth and death process (BDP) models with applications − queueing, communication systems, chemical models, biological models: the state-of-the-art with a time-dependent perspective ” . In American Series in Mathematical and Management Sciences 51 , Columbus : American Sciences Press, Inc .
  • Rege , K. M. and Sengupta , B. 1989 . A single server queue with gated processor-sharing discipline . Queue. Syst. , 4 : 249 – 261 .
  • Takagi , H. 1997 . Queueing analysis of polling models: progress in 1990–1994. Frontiers in queueing . Prob. Stochast. Ser. , : 119 – 146 .
  • Tao , L. , Dimitris , L. and Malathi , V. 2006 . Analysis of a polling system for telephony traffic with application to wireless LANs . IEEE Transs. Wirel. Commun. , 5 : 1284 – 1293 .
  • Wall , H. S. 1948 . Analytical Theory of Continued Fractions , Toronto : D. Van Nostrand .

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