Skip to main content

M/G/1 Type Vacation Models: Nonexhaustive Service

  • Chapter
Vacation Queueing Models Theory and Applications

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

  • 1484 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

3.5 Bibliographic Notes

  1. Altman, E., Khamisy, A and Yechiali, U. (1992). On elevator polling with globally gated regime. Queueing Sys., 11, 85–90.

    Article  MathSciNet  MATH  Google Scholar 

  2. Altman, E., Blabc, H., Khamisy, A., and Yechiali, U. (1994). Gated-type polling systems with walking and switch-in times. Stock. Models, 10, 741–763.

    MathSciNet  MATH  Google Scholar 

  3. Altman, E. (2002). Stochastic recursive equations with applications to queue with dependent vacations. Ann. Oper. Res., 112, 43–61.

    Article  MathSciNet  MATH  Google Scholar 

  4. Bacot, J.B. and Dshalalow, J. H. (2001). A bulk input queueing system with batch gated service and multiple vacation policy. Math. and Comput. Model., 34, 873–886.

    Article  MathSciNet  MATH  Google Scholar 

  5. Bischof, W. (2001). Analysis of M/G/1 queues with setup time and vacations under six different service disciplines. Queueing Sys., 39, 265–301.

    Article  MathSciNet  MATH  Google Scholar 

  6. Browne, S. Coffman, E.G., Gilbert, E.N. and Wright, E.W. (1992a). The gated infinite server queue: Uniform service times. SIAM J. Appl. Math., 52, 1751–1762.

    Article  MathSciNet  MATH  Google Scholar 

  7. Browne, S., Coffman, E.G., Gilbert, E. and Wright, E.W. (1992b). Gated, exhaustive, parallel service. Prob. Eng. Inform. Sci., 6, 217–239.

    Article  MATH  Google Scholar 

  8. Choi, B.D. and Park, K., (1990) The M/G/1 retrial queue with Bernoulli schedule. Queueing Systems, 7, 219–228.

    Article  MathSciNet  MATH  Google Scholar 

  9. Choi, B.D., Kim, B., and Choi, S.H. (2003). An M/G/1 queue with multiple type of feedback gated vacations and FIFS policy. Comput. Oper. Res., 30, 1289–1309.

    Article  MathSciNet  MATH  Google Scholar 

  10. Eisenberg, M. and Leung, K.K. (1991). A single sever queue with vacations and non-gated time-limited service. Perform. Evaluation, 12, 115–125.

    Article  Google Scholar 

  11. Ishizaki, F., Takine, T., and Hasegawa, T. (1995). Analysis of a discrete-time queue with gated priority. Perform. Evaluation, 23, 121–143.

    Article  MATH  Google Scholar 

  12. Keilson, J. and Servi, L. (1986). Oscillating random walk models for GI/G/1 vacation systems with Bernoulli schedules. J. Appl. Probab., 23, 790–802.

    Article  MathSciNet  MATH  Google Scholar 

  13. Kumar, B. and Arivudainambi, D. (2002). The M/G/1 retrial queue with Bernoulli schedules and general retrial times. Comput. Math. Appl., 43, 15–30.

    Article  MathSciNet  MATH  Google Scholar 

  14. Lee, H. and Srinivasan, M. (1989). Control policies for the Mx/G/1 queueing system. Manage. Sci., 35, 707–721.

    Google Scholar 

  15. Madan, K., Abu-Dayyeh, W. and Taiyyan, F. (2003). A two server queue with Bernoulli schedules and a single vacation policy. Appl. Math. Comput., 145, 59–71.

    MathSciNet  MATH  Google Scholar 

  16. Ramaswamy, R. and Servi, L. (1988). The busy period of the M/G/1 vacation model with a Bernoulli schedule. Stoch. Models, 4, 507–521.

    Article  MathSciNet  MATH  Google Scholar 

  17. 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 

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

    Article  MathSciNet  MATH  Google Scholar 

  19. Takagi, H. (1991). Queueing Analysis, Vol. 1, Vacation and Priority Systems. North-Holland Elsevier, Amsterdam.

    MATH  Google Scholar 

  20. Takagi, H. and Leung, K. (1994). Analysis of a discrete-time queueing system with time-limited service. Queueing Sys., 18, 183–197.

    Article  MathSciNet  MATH  Google Scholar 

  21. Takagi, H. (1991). Queueing Analysis, Vol. 1, Vacation and Priority Systems. North-Holland Elsevier, Amsterdam.

    MATH  Google Scholar 

  22. Tedijanto, E.E. (1990). Exact results for the cyclic service queue with a Bernoulli schedule. Perform. Evaluation, 11, 107–115.

    Article  MathSciNet  Google Scholar 

  23. Wortman, M., Disney, R. and Kiessler, P. (1991). The M/G/1 Bernoulli feedback queue with vacations. Queueing Sys., 9, 353–364.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Tian, N., Zhang, Z.G. (2006). M/G/1 Type Vacation Models: Nonexhaustive Service. 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_3

Download citation

Publish with us

Policies and ethics