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General-Input Single Server Vacation Models

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Vacation Queueing Models Theory and Applications

Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 93))

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4.8 Bibliographic Notes

  1. Chatterjee, U. and Mukherjee, S. (1990). GI/M/1 queue with server vacation. J. Oper. Res. Soc., 41, 83–87.

    Article  MATH  Google Scholar 

  2. Dukhovny, A. (1997). Vacations in GIx/Mx/1 systems and Riemann boundary value problems. Queueing Sys., 27, 351–366.

    Article  MathSciNet  MATH  Google Scholar 

  3. Ke, J.C. (2003a). The analysis of a general input queue with N-policy and exponential vacations. Queueing Sys., 45, 135–160.

    Article  MathSciNet  MATH  Google Scholar 

  4. Ke, J.C. (2003b). The optimal control of an M/G/1 queueing system with server vacations, start-up and breakdowns. Comput. Ind. Eng., 44, 567–579.

    Article  Google Scholar 

  5. Laxmi, P. and Gupta, U. (1999). On the finite-buffer bulk service queue with general independent arrival: GI/M*/1/N. Oper. Res. Lett., 25, 957–967.

    Article  MathSciNet  MATH  Google Scholar 

  6. Machihara, F. (1995). A G/SM/1 queue with vacations depending on service times. Stock. Models, 11, 671–690.

    MathSciNet  MATH  Google Scholar 

  7. Servi, L. (1986a). Average delay approximation of M/G/l cyclic queues with Bernoulli schedules. IEEE J. Select. Areas Commun., SAC-4, 813–822.

    Article  Google Scholar 

  8. Servi, L. (1986b). D/G/l queue with vacations. Oper. Res., 34, 619–629.

    Article  MathSciNet  MATH  Google Scholar 

  9. Tian, N., Zhang, D. and Cao, C. (1989). The GI/M/1 queue with exponential vacations. Queueing Sys., 5, 331–344.

    Article  MathSciNet  MATH  Google Scholar 

  10. Tian, N. (1993). The GI/M/1 queue with single exponential vacation. Syst. Sci. Math. Sci., 13, 1–9 (in Chinese).

    MATH  Google Scholar 

  11. Tian. N. and Zhang, Z.G. (2002). The discrete-time GI/Geo/1 queue with multiple vacations. Queueing Sys., 40, 283–294.

    Article  MathSciNet  MATH  Google Scholar 

  12. Zhang, Z.G. and Tian, N. (2004). The N-threshold for the GI/M/1 queue. Oper. Res. Lett., 32, 77–84.

    Article  MathSciNet  MATH  Google Scholar 

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Tian, N., Zhang, Z.G. (2006). General-Input Single Server Vacation Models. In: Vacation Queueing Models Theory and Applications. International Series in Operations Research & Management Science, vol 93. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-33723-4_4

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