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演講公告
  • 標題:On The Waiting Time for A M/M/1 Queue with Impatience
  • 公告日期:2017-02-15

Speaker: Prof. Xianyuan Wu (吳憲遠教授)
首都師範大學數學學院
Title: On The Waiting Time for A M/M/1 Queue with Impatience
Time: 16:10–17:00, Monday, March 13, 2017
Venue: Room 070221, 2F, Zhixi Building (志希樓2 樓e 化教室)
Refreshment: Refreshments will be served in Faculty Lounge 30 minutes
before the talk.
Abstract: This paper focuses on the problem of modeling the correspondence
pattern for ordinary people. Suppose that letters arrive at
a rate l and are answered at a rate m. Furthermore, we assume
that, for a constant T, a letter is disregarded when its waiting
time exceeds T, and the remains are answered in last in first out
order. Let Wn be the waiting time of the n-th answered letter.
It is proved that Wn converges weekly to WT, a non-negative
random variable which possesses a density with power-law tail
when l = m and with exponential tail otherwise. Note that
this may provide a reasonable explanation to the phenomenons
reported by Oliveira and Barabási in Nature 2005.

  • 附件檔案: 演講公告 Adobe PDF
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  • 張貼人:guavawei
  • 最後修改時間:2017-02-15 PM 4:01

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