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Analysis of M/G/1 Priority Retrial G-Queue with Bernoulli Working Vacations

  • P. RajaduraiEmail author
  • M. Sundararaman
  • Sherif I. Ammar
  • D. Narasimhan
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

In this investigation, a priority retrial queue with working vacations and negative customers is addressed. The priority clients don’t shape any line and have an elite preemptive priority to get their services over normal customers. When the orbit is noticeably empty at the season of service consummation, the server takes for a working vacation. In working vacation period, the server works at a lower rate of service. Utilizing the supplementary variable technique (SVT), the probability generating function (PGF) of the system capacity is found. Some important special cases are discussed.

Notes

Acknowledgements

The authors are thankful to the editor and reviewers for their valuable comments and suggestions for the improvement of the paper.

References

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • P. Rajadurai
    • 1
    Email author
  • M. Sundararaman
    • 1
  • Sherif I. Ammar
    • 2
    • 3
  • D. Narasimhan
    • 1
  1. 1.Department of Mathematics, SRCSASTRA Deemed UniversityKumbakonamIndia
  2. 2.Department of MathematicsMenoufia UniversityShebin El KoumEgypt
  3. 3.Department of Mathematics, Faculty of scienceTaibah UniversityMedinaSaudi Arabia

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