Journal of applied mathematics & informatics

  • 제41권6호
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  • Pages.1155-1171
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  • 2023
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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ANALYSIS OF AN M/G/1 QUEUEING SYSTEM WITH DISGRUNTLED JOBS AND DIFFERENT TYPES OF SERVICE RATE

  • M. KANNAN (Department of Mathematics, SRM Institute of Science and Technology) ;
  • V. POONGOTHAI (Department of Mathematics, SRM Institute of Science and Technology) ;
  • P. GODHANDARAMAN (Department of Mathematics, SRM Institute of Science and Technology)
  • 투고 : 2022.06.01
  • 심사 : 2023.07.31
  • 발행 : 2023.11.30
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초록

This paper investigates a non Markovian M/G/1 queue with retrial policy, different kind of service rates as well as unsatisfied clients which is inspired by an example of a transmission medium access control in wireless communications. The server tends to work continuously until it finds at least one client in the system. The server will begin its maintenance tasks after serving all of the clients and if the system becomes empty. Provisioning periods in regular working periods and maintenance service periods should be evenly divided. Using supplementary variable technique, the amount of clients in the system as well as in the orbit were found. Further few performance measures of the system were demonstrated numerically.

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과제정보

The authors would like to extend their gratitude towards the Editorial board and referees for their valuable insights and suggestions that has led to the enhancement of the quality of the original manuscript.

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