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Reliability and Optimization Measures of Retrial Queue with Different Classes of Customers under a Working Vacation Schedule

Author

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  • Sundararaman Muthusamy
  • Narasimhan Devadoss
  • Sherif I. Ammar
  • Filippo Cacace

Abstract

A working vacation queueing model is described in this work, with three different classes of customers: regular, priority, and disaster. The regular server serves all arriving customers, whereas the optional reservice is only provided to those who request it. The Bernoulli working vacation (BWV) schedule is considered. In WV time, the server serves at a slower rate. The generating functions (GF) technique is used to determine the system capacity of various server states. Different system performances, reliability indices, and cost optimization values are numerically shown. For the current COVID-19 pandemic situation, the motivation for this approach is presented in a telephonic communication system.

Suggested Citation

  • Sundararaman Muthusamy & Narasimhan Devadoss & Sherif I. Ammar & Filippo Cacace, 2022. "Reliability and Optimization Measures of Retrial Queue with Different Classes of Customers under a Working Vacation Schedule," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-17, October.
    • Handle: RePEc:hin:jnddns:6806104
    DOI: 10.1155/2022/6806104
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    Cited by:

    1. Tzu-Hsin Liu & Kuo-Ching Chiou & Chih-Ming Chen & Fu-Min Chang, 2024. "Multiserver Retrial Queue with Two-Way Communication and Synchronous Working Vacation," Mathematics, MDPI, vol. 12(8), pages 1-14, April.

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