Mathematical Theory and Applications ›› 2024, Vol. 44 ›› Issue (1): 93-108.doi: 10.3969/j.issn.1006-8074.2024.01.007

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The Transition Probability and Instantaneous Distribution of the Output Process of  M/M/1  Queueing System

Li Junping1,2, Cheng Lan2,3,*   

  1. 1. Guangdong University of Science and Technology, Dongguan 523083, China; 2. Central South University, Changsha 410083, China; 3. Hunan First Nomal University, Changsha 410205, China
  • Online:2024-03-28 Published:2024-04-16

Abstract: In this paper, we study the output process of M/M/1 queueing system, obtain its transition probability at arrival times and instantaneous distribution at any time.

Key words:  , M/M/1 queueing system, Output process, Transition probability