Research on the threshold strategy of mobile users in discrete time hybrid access networks

JIN Shunfu, ZHU Jing, LIU Jun, YUE Wuyi

Systems Engineering - Theory & Practice ›› 2021, Vol. 41 ›› Issue (11) : 2937-2946.

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Systems Engineering - Theory & Practice ›› 2021, Vol. 41 ›› Issue (11) : 2937-2946. DOI: 10.12011/SETP2020-2215

Research on the threshold strategy of mobile users in discrete time hybrid access networks

  • JIN Shunfu1,2, ZHU Jing1,2, LIU Jun1,2, YUE Wuyi3
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Abstract

Mobile users usually alternatively use cellular and Wi-Fi, namely hybrid access network, to access Internet. In order to investigate the Nash equilibrium behavior of mobile users and maximize the social benefits of the system, in this paper we present a threshold policy for mobile users. Considering a system model composed of an observable system buffer and an observable connection state, by using an iteration method and a diagonalization method, we give the closed-form solutions for the expected sojourn time of a newly arriving data packet and the Nash equilibrium access threshold in a discrete-time domain. Moreover, by establishing a discrete-time queueing game model with two-stage service, we give the steady-state solution of the system model and obtain the socially optimal access threshold. Numerical results with different service rates show that the Nash equilibrium access threshold is higher than the socially optimal access threshold in a hybrid access network. Aiming to maximize the social benefits of a hybrid access network, additional sojourn cost per unit time should be imposed to mobile users based on the difference between the two access thresholds.

Key words

hybrid access network / expected sojourn time / access threshold / Nash equilibrium threshold / socially optimal threshold

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JIN Shunfu , ZHU Jing , LIU Jun , YUE Wuyi. Research on the threshold strategy of mobile users in discrete time hybrid access networks. Systems Engineering - Theory & Practice, 2021, 41(11): 2937-2946 https://doi.org/10.12011/SETP2020-2215

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Funding

National Natural Science Foundation of China (61872311, 61973261)

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