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Performance analysis of a queueing system based on working vacation with repairable fault in the P2P network

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Abstract

In recent years, peer-to-peer (P2P) as a means of content distribution and sharing service are receiving extensive attention. In this paper, the hybrid P2P network structure model is combined with the knowledge of queueing theory. In order to address the problem generated by unnecessary online behavior of nodes, the working sleep mechanism for the serving nodes is introduced, and the synchronous multiple working vacation strategy is also adopted to decrease the system energy consumption. Then a queueing model with working vacation and repairable fault is built, which used to simulate the resource transmission process of P2P network and to study the performance of P2P sharing system. The steady-state probability vector is derived by employing quasi-birth-and-death process and matrix-geometric solution method. And the expressions for system performance indicators, such as the average delay, are obtained by employing Gauss–Seidel iteration method. Through numerical experiments, the performance indicators of the P2P resource sharing system are studied, which provides a theoretical basis to decrease online energy consumption of nodes in the hybrid P2P network. And through employing Nash equilibrium and social optimal strategy, the value of the social maximum benefit under the social optimization is obtained.

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Funding

This work was supported in part by the National Natural Science Foundation of China under Grant Nos. 61973261, 61872311, the Natural Science Foundation of Hebei Province under Grant No. A2020203010, A2018203088, and the Project of Hebei Key Laboratory of Software Engineering, No. 22567637H.

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Authors and Affiliations

  1. School of Science, Yanshan University, Qinhuangdao, 066004, China

    Shunzhi Wang, Zhanyou Ma, Rong Wang & Wenming Fang

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  1. Shunzhi Wang
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  2. Zhanyou Ma
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  3. Rong Wang
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  4. Wenming Fang
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Contributions

All authors contributed to conceptualization and error checking. SW was responsible for model building, programming and numerical experiments. ZM was involved in method guidance and process supervision. RW performed literature search. WF took part in graphic beautification.

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Correspondence to Zhanyou Ma.

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Wang, S., Ma, Z., Wang, R. et al. Performance analysis of a queueing system based on working vacation with repairable fault in the P2P network. J Supercomput 79, 12902–12923 (2023). https://doi.org/10.1007/s11227-023-05154-x

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