Optimizing mmWave Wireless Backhaul Scheduling

Millimeter wave (mmWave) communication not only provides ultra-high speed radio access but is also ideally suited for efficient and flexible wireless backhauling. Specifically for dense deployments, a mmWave macro base station (MBS) that serves a large number of mmWave micro base stations (<inline-formula><tex-math notation="LaTeX">$\mu$</tex-math><alternatives><mml:math><mml:mi>μ</mml:mi></mml:math><inline-graphic xlink:href="mancuso-ieq1-2924884.gif"/></alternatives></inline-formula>BSs) is much more cost effective than legacy cellular architectures which connect <inline-formula><tex-math notation="LaTeX">$\mu$</tex-math><alternatives><mml:math><mml:mi>μ</mml:mi></mml:math><inline-graphic xlink:href="mancuso-ieq2-2924884.gif"/></alternatives></inline-formula>BSs to the core network through fibers. In addition, <inline-formula><tex-math notation="LaTeX">$\mu$</tex-math><alternatives><mml:math><mml:mi>μ</mml:mi></mml:math><inline-graphic xlink:href="mancuso-ieq3-2924884.gif"/></alternatives></inline-formula>BSs can cooperate with each other by acting as relay nodes. The directional nature of mmWave communication allows for spatial reuse, even in the presence of interference, which can be exploited to optimize mmWave wireless backhaul performance. The optimization opportunistically prioritizes the use of good connections at the MBS and further leverages compact and concurrent transmissions between <inline-formula><tex-math notation="LaTeX">$\mu$</tex-math><alternatives><mml:math><mml:mi>μ</mml:mi></mml:math><inline-graphic xlink:href="mancuso-ieq4-2924884.gif"/></alternatives></inline-formula>BS. Relays and directional antennas speed up communication, but increase the complexity of the scheduling problem. In this work, we study the mmWave backhaul scheduling problem and derive an MILP formulation for it as well as upper and lower bounds. We prove that the problem is NP-hard and can be approximated, but only if interference is negligible. By means of numerical simulations, we compare theoretical results with heuristics in small system sizes. Results validate the analysis and demonstrate the high performance of our heuristics in realistic cellular settings.

[1]  Jörg Widmer,et al.  Compressive Millimeter-Wave Sector Selection in Off-the-Shelf IEEE 802.11ad Devices , 2017, CoNEXT.

[2]  Guy Kortsarz,et al.  Spanning Trees With Edge Conflicts and Wireless Connectivity , 2018, ICALP.

[3]  Jörg Widmer,et al.  5G Millimeter-Wave and D2D Symbiosis: 60 GHz for Proximity-Based Services , 2017, IEEE Wireless Communications.

[4]  Jianhua Lu,et al.  QoS Aware Scheduling with Optimization of Base Station Power Allocation in Downlink Cooperative OFDMA Systems , 2012, VTC Fall.

[5]  Joerg Widmer,et al.  60 GHz Networking: Mobility, Beamforming, and Frame Level Operation from Theory to Practice , 2019, IEEE Transactions on Mobile Computing.

[6]  Cheng Chen,et al.  Analysis and Simulation of the IEEE 802.11ay Single-Carrier PHY , 2018, 2018 IEEE International Conference on Communications (ICC).

[7]  Manav R. Bhatnagar,et al.  Performance Analysis of AF Based Hybrid Satellite-Terrestrial Cooperative Network over Generalized Fading Channels , 2013, IEEE Communications Letters.

[8]  Dimitrios Koutsonikolas,et al.  Performance and Pitfalls of 60 GHz WLANs Based on Consumer-Grade Hardware , 2020, IEEE Transactions on Mobile Computing.

[9]  Lei Huang,et al.  Resource Allocation for OFDMA Based Relay Enhanced Cellular Networks , 2007, 2007 IEEE 65th Vehicular Technology Conference - VTC2007-Spring.

[10]  Marie-Laure Boucheret,et al.  Exact outage probability of a hybrid satellite terrestrial cooperative system with best relay selection , 2013, 2013 IEEE International Conference on Communications (ICC).

[11]  Bruce E. Hajek,et al.  Link scheduling in polynomial time , 1988, IEEE Trans. Inf. Theory.

[12]  Leslie G. Valiant,et al.  The Complexity of Enumeration and Reliability Problems , 1979, SIAM J. Comput..

[13]  Ramón Martínez Rodríguez-Osorio,et al.  Survey of Inter-Satellite Communication for Small Satellite Systems: Physical Layer to Network Layer View , 2016, IEEE Communications Surveys & Tutorials.

[14]  Li Su,et al.  Energy-Efficient Scheduling for mmWave Backhauling of Small Cells in Heterogeneous Cellular Networks , 2015, IEEE Transactions on Vehicular Technology.

[15]  E. L. Lawler,et al.  Branch-and-Bound Methods: A Survey , 1966, Oper. Res..

[16]  Syed Ali Jafar,et al.  Topological Interference Management Through Index Coding , 2013, IEEE Transactions on Information Theory.

[17]  Xuguang Zhang,et al.  Interference Management and Traffic Adaptation of Femto Base Station based on TD-LTE , 2014 .

[18]  Parul Garg,et al.  Bi-directional relay-assisted FSO communication systems over strong turbulence channels with pointing errors , 2017, Int. J. Commun. Syst..

[19]  Mw Mohadig Rousstia.  Switched-beam antenna array design for millimeter-wave applications , 2011 .

[20]  J. M. Pinheiro,et al.  Miniaturized Liquid Crystal Slow Wave Phase Shifter Based on Nanowire Filled Membranes , 2018, IEEE Microwave and Wireless Components Letters.

[21]  Raghuraman Mudumbai,et al.  Medium Access Control for 60 GHz Outdoor Mesh Networks with Highly Directional Links , 2009, IEEE INFOCOM 2009.

[22]  Yusheng Ji,et al.  Simple Proportional Fairness Scheduling for OFDMA Frame-Based Wireless Systems , 2008, 2008 IEEE Wireless Communications and Networking Conference.

[23]  Jörg Widmer,et al.  Fast and Infuriating: Performance and Pitfalls of 60 GHz WLANs Based on Consumer-Grade Hardware , 2018, 2018 15th Annual IEEE International Conference on Sensing, Communication, and Networking (SECON).

[24]  Vincenzo Mancuso,et al.  Multi-path D2D leads to satisfaction , 2017, 2017 IEEE 18th International Symposium on A World of Wireless, Mobile and Multimedia Networks (WoWMoM).

[25]  Prudence W. H. Wong,et al.  Online Regenerator Placement , 2016, Theory of Computing Systems.

[26]  Vincenzo Mancuso,et al.  An SDR-based experimental study of outband D2D communications , 2016, IEEE INFOCOM 2016 - The 35th Annual IEEE International Conference on Computer Communications.

[27]  Riku Jäntti,et al.  A dynamic TDD inter-cell interference coordination scheme for Long Term Evolution networks , 2011, 2011 IEEE 22nd International Symposium on Personal, Indoor and Mobile Radio Communications.

[28]  Sheng Chen,et al.  Millimetre-Wave Backhaul for 5G Networks: Challenges and Solutions , 2016, Sensors.

[29]  A. M. Abdullah,et al.  Wireless lan medium access control (mac) and physical layer (phy) specifications , 1997 .

[30]  Weisi Guo,et al.  Relay Deployment in Cellular Networks: Planning and Optimization , 2013, IEEE Journal on Selected Areas in Communications.

[31]  Stephan Eidenbenz,et al.  On the Complexity of Variations of Equal Sum Subsets , 2008, Nord. J. Comput..

[32]  Sundeep Rangan,et al.  Scaling laws for Infrastructure Single and multihop wireless networks in wideband regimes , 2014, 2014 IEEE International Symposium on Information Theory.

[33]  David Zuckerman,et al.  Electronic Colloquium on Computational Complexity, Report No. 100 (2005) Linear Degree Extractors and the Inapproximability of MAX CLIQUE and CHROMATIC NUMBER , 2005 .

[34]  Edward W. Knightly,et al.  IEEE 802.11ay: Next-Generation 60 GHz Communication for 100 Gb/s Wi-Fi , 2017, IEEE Communications Magazine.

[35]  Giuseppe Caire,et al.  A Joint Scheduling and Resource Allocation Scheme for Millimeter Wave Heterogeneous Networks , 2017, 2017 IEEE Wireless Communications and Networking Conference (WCNC).

[36]  Panganamala Ramana Kumar,et al.  RHEINISCH-WESTFÄLISCHE TECHNISCHE HOCHSCHULE AACHEN , 2001 .

[37]  Christian Scheideler,et al.  An O(log n) dominating set protocol for wireless ad-hoc networks under the physical interference model , 2008, MobiHoc '08.

[38]  Akram Alomainy,et al.  Millimeter-Wave Liquid Crystal Polymer Based Conformal Antenna Array for 5G Applications , 2019, IEEE Antennas and Wireless Propagation Letters.

[39]  Prudence W. H. Wong,et al.  Scheduling Dynamic Parallel Workload of Mobile Devices with Access Guarantees , 2018, TOPC.

[40]  Prudence W. H. Wong,et al.  Station Assignment with Reallocation , 2015, SEA.

[41]  Narendra Karmarkar,et al.  A new polynomial-time algorithm for linear programming , 1984, Comb..

[42]  Sundeep Rangan,et al.  On the Analysis of Scheduling in Dynamic Duplex Multihop mmWave Cellular Systems , 2015, IEEE Transactions on Wireless Communications.

[43]  Peter Sanders,et al.  An asymptotic approximation scheme for multigraph edge coloring , 2005, SODA '05.

[44]  Jörg Widmer,et al.  Boon and bane of 60 GHz networks: practical insights into beamforming, interference, and frame level operation , 2015, CoNEXT.

[45]  Dariusz R. Kowalski,et al.  Dynamic multiple-message broadcast: bounding throughput in the affectance model , 2014, FOMC '14.

[46]  Athanasios V. Vasilakos,et al.  Exploiting Device-to-Device Communications in Joint Scheduling of Access and Backhaul for mmWave Small Cells , 2015, IEEE Journal on Selected Areas in Communications.

[47]  Liuqing Yang,et al.  Dynamic TDD support in the LTE-B enhanced Local Area architecture , 2012, 2012 IEEE Globecom Workshops.

[48]  Jeffrey G. Andrews,et al.  Tractable Model for Rate in Self-Backhauled Millimeter Wave Cellular Networks , 2014, IEEE Journal on Selected Areas in Communications.

[49]  Jörg Widmer,et al.  Optimal Joint Routing and Scheduling in Millimeter-Wave Cellular Networks , 2017, IEEE INFOCOM 2018 - IEEE Conference on Computer Communications.

[50]  Theodore S. Rappaport,et al.  Millimeter Wave Mobile Communications for 5G Cellular: It Will Work! , 2013, IEEE Access.

[51]  Shmuel Zaks,et al.  Flexible bandwidth assignment with application to optical networks , 2018, J. Sched..

[52]  Thomas Kesselheim.  Dynamic packet scheduling in wireless networks , 2012, PODC '12.

[53]  M. K. Arti,et al.  Relay selection-based hybrid satellite-terrestrial communication systems , 2017, IET Commun..

[54]  Miguel A. Mosteiro,et al.  Ad-Hoc Affectance-Selective Families for Layer Dissemination , 2017, SEA.

[55]  C. Shannon.  A Theorem on Coloring the Lines of a Network , 1949 .

[56]  Carlo Fischione,et al.  On the accuracy of interference models in wireless communications , 2016, 2016 IEEE International Conference on Communications (ICC).

[57]  Irfan Ahmed,et al.  On the joint scheduling and intra-cell interference coordination in multi-relay LTE uplink , 2012, 2012 IEEE Globecom Workshops.

[58]  Yusheng Ji,et al.  Joint Optimization for Proportional Fairness in OFDMA Relay-Enhanced Cellular Networks , 2010, 2010 IEEE Wireless Communication and Networking Conference.