System Model and Equilibrium Strategy of Mobile Users in a Hybrid Access Network

  • Dongmei Zhao
  • Shunfu JinEmail author
  • Wuyi Yue


Mobile users usually access the Internet via a hybrid access network, in which cellular and Wi-Fi networks are available alternatively. In the hybrid access network, a mobile user decides to send or not to send a packet according to the number of packets already in the system and the phase of the server. In order to evaluate the system performance of the hybrid access network, in this paper we first establish a fully observable continuous time Markovian queueing system. Then, we present an exact analysis to investigate the behavior of the mobile users in the network. Through iterations and diagonalization, we obtain the expected sojourn time of a newly arriving packet in a closed form. Moreover, with the monotonicity for the expected sojourn time of a newly arriving packet, we prove the existence of the Nash equilibrium strategy. Finally, we analyze the socially optimal strategy and motivate the mobile users to accept the socially optimal strategy by changing the sojourn cost.


Hybrid access network observable queueing system expected sojourn time Nash equilibrium strategy socially optimal strategy 


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This work was supported by National Natural Science Foundation of China (Nos. 61872311, 61472342), Natural Science Foundation of Hebei Province of China (F2017203141), and was supported in part by MEXT, Japan. The authors would like to thank the anonymous referees whose valuable comments helped to significantly improve this manuscript.


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Copyright information

© Systems Engineering Society of China and Springer-Verlag GmbH Germany 2019

Authors and Affiliations

  1. 1.School of Information Science and EngineeringYanshan UniversityQinhuangdaoChina
  2. 2.Department of Intelligence and InformaticsKonan UniversityKobeJapan

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