On the Busy Period in a Finite-Source Retrial Queue with Outgoing Calls

  • Velika DragievaEmail author
  • Tuan Phung-Duc
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 1109)


The main purpose of present paper is to study the busy period in one single-server, finite-source retrial queue with outgoing calls. The specific feature of this system is that the outgoing calls do not affect the customers in the system. This allows the model to be considered as a queue with two types of customers. The service times of incoming and the outgoing calls follow two distinct arbitrary distributions. We derive formulas for computing the Laplace-Stieltjes transform of the distribution of the busy period length and its first moment.


Finite queues Retrials Outgoing calls Busy period 


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.University of ForestrySofiaBulgaria
  2. 2.University of TsukubaTsukubaJapan

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