Asymptotic Behavior of Loss Rate for Feedback Finite Fluid Queue with Downward Jumps

نویسندگان

  • Yutaka Sakuma
  • Masakiyo Miyazawa
چکیده

We consider a feedback finite fluid queue with downward jumps, where the net flow rate and the jump size for the fluid are controlled by a background Markov chain with a finite state space. The finite means that the fluid queue has a finite buffer. The feedback means that the transition structure of the background process may change when the buffer content becomes empty or full. In this paper, we show that the loss rate for the fluid queue decays exponentially as the buffer size becomes large under a negative drift condition.

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تاریخ انتشار 2009