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Performance Evaluation Methodologies and Tools. 15th EAI International Conference, VALUETOOLS 2022, Virtual Event, November 2022, Proceedings

Research Article

Cyclic Retrial Queue for Building Data Transmission Networks

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BibTeX Plain Text
  • @INPROCEEDINGS{10.1007/978-3-031-31234-2_10,
        author={Anatoly Nazarov and Tuan Phung-Duc and Ksenia Shulgina and Olga Lizyura and Svetlana Paul and Dmitriy Shashev},
        title={Cyclic Retrial Queue for Building Data Transmission Networks},
        proceedings={Performance Evaluation Methodologies and Tools. 15th EAI International Conference, VALUETOOLS 2022, Virtual Event, November 2022, Proceedings},
        proceedings_a={VALUETOOLS},
        year={2023},
        month={5},
        keywords={cyclic queueing system retrial queue vacations asymptotic analysis diffusion approximation},
        doi={10.1007/978-3-031-31234-2_10}
    }
    
  • Anatoly Nazarov
    Tuan Phung-Duc
    Ksenia Shulgina
    Olga Lizyura
    Svetlana Paul
    Dmitriy Shashev
    Year: 2023
    Cyclic Retrial Queue for Building Data Transmission Networks
    VALUETOOLS
    Springer
    DOI: 10.1007/978-3-031-31234-2_10
Anatoly Nazarov1, Tuan Phung-Duc2, Ksenia Shulgina1,*, Olga Lizyura1, Svetlana Paul1, Dmitriy Shashev3
  • 1: Institute of Applied Mathematics and Computer Science, National Research Tomsk State University, 36 Lenina ave.
  • 2: Faculty of Engineering Information and Systems, University of Tsukuba, 1-1-1 Tennodai, Tsukuba
  • 3: Faculty of Innovative Technologies, National Research Tomsk State University, 36/3 Lenina ave.
*Contact email: shulgina19991999@mail.ru

Abstract

This paper considers a mathematical model of a cyclic multiple access communication network. The model can be used to build specialized “flying” FANET data transmission networks. We consider a single server retrial queue for modeling one node in such network. The input consists of multiple Poisson processes with different arrival rates. Service and retrial rates depend on the origin flow. Thus, each flow has its own orbit for redial. Under the condition when the retrial rate is low, we obtain an asymptotic probability distribution of the number of customers in the orbits.

Keywords
cyclic queueing system retrial queue vacations asymptotic analysis diffusion approximation
Published
2023-05-03
Appears in
SpringerLink
http://dx.doi.org/10.1007/978-3-031-31234-2_10
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