Toward a Tractable Delay Analysis in Ultra-Dense Networks

Meeting the diverse delay requirements of emerging wireless applications is one of the most critical goals for the design of ultra-dense networks. Although the delay of point-to-point communications has been well investigated using classical queueing theory, the delay of multipoint- to-multipoint communications, such as in ultra-dense networks, has not been explored in depth. The main technical difficulty lies in the interacting queues problem, in which the service rate is coupled with the statuses of other queues. In this article, we elaborate on the main challenges in the delay analysis in ultra-dense networks. Several promising approaches, such as introducing the dominant system and the simplified system, to bypass these difficulties are proposed and summarized to provide useful guidance.

[1]  Wenyi Zhang,et al.  HetNets With Random DTX Scheme: Local Delay and Energy Efficiency , 2016, IEEE Transactions on Vehicular Technology.

[2]  Xiaohu Ge,et al.  Heterogeneous Cellular Networks With Spatio-Temporal Traffic: Delay Analysis and Scheduling , 2016, IEEE Journal on Selected Areas in Communications.

[3]  R. M. Loynes,et al.  The stability of a queue with non-independent inter-arrival and service times , 1962, Mathematical Proceedings of the Cambridge Philosophical Society.

[4]  V. Anantharam The stability region of the finite-user slotted ALOHA protocol , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[5]  Martin Haenggi,et al.  Managing Interference Correlation Through Random Medium Access , 2013, IEEE Transactions on Wireless Communications.

[6]  Victor C. M. Leung,et al.  Energy Efficient User Association and Power Allocation in Millimeter-Wave-Based Ultra Dense Networks With Energy Harvesting Base Stations , 2017, IEEE Journal on Selected Areas in Communications.

[7]  Alexandre Proutière,et al.  Asymptotic Stability Region of Slotted Aloha , 2008, IEEE Transactions on Information Theory.

[8]  Martin Haenggi,et al.  Delay Characterization of Multihop Transmission in a Poisson Field of Interference , 2014, IEEE/ACM Transactions on Networking.

[9]  Jeffrey G. Andrews,et al.  Rethinking information theory for mobile ad hoc networks , 2007, IEEE Communications Magazine.

[10]  Jeffrey G. Andrews,et al.  A primer on spatial modeling and analysis in wireless networks , 2010, IEEE Communications Magazine.

[11]  Martin Haenggi,et al.  The Local Delay in Poisson Networks , 2013, IEEE Transactions on Information Theory.

[12]  François Baccelli,et al.  A new phase transitions for local delays in MANETs , 2010, 2010 Proceedings IEEE INFOCOM.

[13]  François Baccelli,et al.  Stochastic analysis of spatial and opportunistic aloha , 2009, IEEE Journal on Selected Areas in Communications.

[14]  Cheng-Xiang Wang,et al.  5G Ultra-Dense Cellular Networks , 2015, IEEE Wireless Communications.

[15]  Victor C. M. Leung,et al.  Fronthauling for 5G LTE-U Ultra Dense Cloud Small Cell Networks , 2016, IEEE Wireless Communications.

[16]  Tony Q. S. Quek,et al.  On the Stability of Static Poisson Networks Under Random Access , 2016, IEEE Transactions on Communications.

[17]  Gerhard P. Fettweis,et al.  The Tactile Internet: Applications and Challenges , 2014, IEEE Vehicular Technology Magazine.

[18]  Anthony Ephremides,et al.  On the stability of interacting queues in a multiple-access system , 1988, IEEE Trans. Inf. Theory.