Journal of Jishou University(Natural Sciences Edition)

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Application of Monotone Functions in M/M/1/WV Queueing Model


  1. (College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China)
  • Online:2018-01-25 Published:2018-01-27


The application of monotone function in M/M/1 queueing model with working vacation and vacation interruption is discussed.Specially by using the relations between monotonous property and derivative of function we verify the validity of the inequalities appearing in the resolvent set of corresponding operator.

Key words: M/M/1 queueing model, working vacation, vacation interruption, derivative, monotone function

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