Network Utility Maximization-Based Congestion Control Over Wireless Networks: A Survey and Potential Directives

Since the initial publication of Kelly et al.’s seminal paper on resource allocation in wired networks, a large number of studies based on the network utility maximization (NUM) framework have been conducted, for example, on resource allocations in wired networks as well as wireless networks. Congestion control, used to adapt the traffic rates injected into a network, can be controlled separately at the transport layer or mutually with other layers, using a cross-layer design. The focus of this paper is a review of the research following the NUM framework and addressing the problem of congestion control from several dimensions, specifically, elastic traffic or inelastic traffic, same-timescale or multi-timescale, and single-path or multipath transmissions. First, cross-layer designs for wireless networks, basics of optimization theory, and an example of cross-layer congestion control are summarized. Then, studies on NUM-based congestion control are sequentially presented from several points of view. In addition, we survey the recent literature on cross-layer resource allocation in next generation networks, software-defined networking, and cloud radio access networks, which can enhance the performances and address issues found in current networks. Finally, we outline what we consider to be the current challenges and open issues in the area of NUM-based congestion control for wireless networks.

[1]  Yong Liang Guan,et al.  A survey of inter-flow network coding in wireless mesh networks with unicast traffic , 2015, Comput. Networks.

[2]  Mohsen Guizani,et al.  Internet of Things: A Survey on Enabling Technologies, Protocols, and Applications , 2015, IEEE Communications Surveys & Tutorials.

[3]  Srikanth V. Krishnamurthy,et al.  Resource Allocation for QoS Support in Wireless Mesh Networks , 2013, IEEE Transactions on Wireless Communications.

[4]  Tingwen Huang,et al.  Dynamic Rate and Power Allocation in Wireless Ad Hoc Networks with Elastic and Inelastic Traffic , 2012, Wireless Personal Communications.

[5]  Eren Gürses Cross-Layer Optimized Congestion, Contention and Power Control in Wireless Ad Hoc Networks , 2008, Networking.

[6]  A. Robert Calderbank,et al.  Utility-optimal random-access control , 2007, IEEE Transactions on Wireless Communications.

[7]  Shengyu Zhang,et al.  Distributed rate allocation for inelastic flows , 2005, IEEE/ACM Trans. Netw..

[8]  Naishuo Tian,et al.  Resource allocation for multi-class services in multipath networks , 2015, Perform. Evaluation.

[9]  Changchun Hua,et al.  Optimal resource allocation for heterogeneous traffic in multipath networks , 2016, Int. J. Commun. Syst..

[10]  Yongxiang Xia,et al.  Optimal Resource Allocation in Complex Communication Networks , 2015, IEEE Transactions on Circuits and Systems II: Express Briefs.

[11]  Stephen P. Boyd,et al.  Optimizing Adaptive Modulation in Wireless Networks via Utility Maximization , 2008, 2008 IEEE International Conference on Communications.

[12]  Mikio Hasegawa,et al.  A Rate Allocation Framework for Multi-Class Services in Software-Defined Networks , 2016, Journal of Network and Systems Management.

[13]  Hao Liang,et al.  Two Time-Scale Cross-Layer Scheduling for Cellular/WLAN Interworking , 2014, IEEE Transactions on Communications.

[14]  Yongbin Wei,et al.  A survey on 3GPP heterogeneous networks , 2011, IEEE Wireless Communications.

[15]  Lazaros F. Merakos,et al.  Mobility Management for Femtocells in LTE-Advanced: Key Aspects and Survey of Handover Decision Algorithms , 2014, IEEE Communications Surveys & Tutorials.

[16]  Lixia Zhang,et al.  Stream Control Transmission Protocol , 2000, RFC.

[17]  Wonyong Yoon,et al.  Fair rate control for cognitive multi-channel wireless ad hoc networks , 2014, EURASIP J. Wirel. Commun. Netw..

[18]  Mark Handley,et al.  Design, Implementation and Evaluation of Congestion Control for Multipath TCP , 2011, NSDI.

[19]  Won-Joo Hwang,et al.  Network utility maximization in multipath lossy wireless networks , 2017, Int. J. Commun. Syst..

[20]  Mung Chiang,et al.  Cross-Layer Congestion Control, Routing and Scheduling Design in Ad Hoc Wireless Networks , 2006, Proceedings IEEE INFOCOM 2006. 25TH IEEE International Conference on Computer Communications.

[21]  Emi Garcia-Palacios,et al.  Multimedia resource allocation in mmwave 5G networks , 2015, IEEE Communications Magazine.

[22]  Tony Q. S. Quek,et al.  Cross-Layer Resource Allocation With Elastic Service Scaling in Cloud Radio Access Network , 2015, IEEE Transactions on Wireless Communications.

[23]  Athina Markopoulou,et al.  I2NC: Intra- and inter-session network coding for unicast flows in wireless networks , 2010, 2011 Proceedings IEEE INFOCOM.

[24]  Richard J. La,et al.  Utility-based rate control in the Internet for elastic traffic , 2002, TNET.

[25]  Eylem Ekici,et al.  A survey of cross-layer design for VANETs , 2011, Ad Hoc Networks.

[26]  Fu Miao,et al.  Concurrent multipath traffic impersonating for enhancing communication privacy , 2014, Int. J. Commun. Syst..

[27]  Georgios B. Giannakis,et al.  Cross-layer congestion and contention control for wireless ad hoc networks , 2008, IEEE Transactions on Wireless Communications.

[28]  Yuanyuan Yang,et al.  Joint Optimal Data Rate and Power Allocation in Lossy Mobile Ad Hoc Networks with Delay-Constrained Traffics , 2015, IEEE Transactions on Computers.

[29]  Guangjie Han,et al.  Routing Protocols in Underwater Acoustic Sensor Networks: A Quantitative Comparison , 2015, Int. J. Distributed Sens. Networks.

[30]  Özlem Durmaz Incel A survey on multi-channel communication in wireless sensor networks , 2011, Comput. Networks.

[31]  Junshan Zhang,et al.  Cross-layer rate control in wireless networks with lossy links: leaky-pipe flow, effective network utility maximization and hop-by-hop algorithms , 2009, IEEE Transactions on Wireless Communications.

[32]  Choong Seon Hong,et al.  Network utility maximisation framework with multiclass traffic , 2013, IET Networks.

[33]  Wanjiun Liao,et al.  Utility-based radio resource allocation for QoS traffic in wireless networks , 2008, IEEE Transactions on Wireless Communications.

[34]  Asuman E. Ozdaglar,et al.  A distributed Newton method for Network Utility Maximization , 2010, 49th IEEE Conference on Decision and Control (CDC).

[35]  W. Gander,et al.  A D.C. OPTIMIZATION ALGORITHM FOR SOLVING THE TRUST-REGION SUBPROBLEM∗ , 1998 .

[36]  Marimuthu Palaniswami,et al.  Application-Oriented Flow Control: Fundamentals, Algorithms and Fairness , 2006, IEEE/ACM Transactions on Networking.

[37]  Yonggang Wen,et al.  “ A Survey of Software Defined Networking , 2020 .

[38]  Choong Seon Hong,et al.  Cross-Layer Design for Congestion, Contention, and Power Control in CRAHNs under Packet Collision Constraints , 2013, IEEE Transactions on Wireless Communications.

[39]  Jang-Won Lee,et al.  User-level satisfaction aware end-to-end rate control in communication networks , 2011, Comput. Networks.

[40]  Marimuthu Palaniswami,et al.  Handling inelastic traffic in wireless sensor networks , 2010, IEEE Journal on Selected Areas in Communications.

[41]  Xiaofeng Liao,et al.  Jointly Optimal Congestion and Power Control for Rayleigh-Faded Channels with Outage Constraints , 2014, Wirel. Pers. Commun..

[42]  Xuelong Li,et al.  Recent Advances in Cloud Radio Access Networks: System Architectures, Key Techniques, and Open Issues , 2016, IEEE Communications Surveys & Tutorials.

[43]  Vincent W. S. Wong,et al.  Congestion-aware channel assignment for multi-channel wireless mesh networks , 2009, Comput. Networks.

[44]  A. Chodorek,et al.  An analysis of elastic and inelastic traffic in shared link , 2008, 2008 Conference on Human System Interactions.

[45]  R. Srikant,et al.  Optimal Scheduling for Fair Resource Allocation in Ad Hoc Networks With Elastic and Inelastic Traffic , 2011, IEEE/ACM Transactions on Networking.

[46]  Fernando Paganini,et al.  Network Resource Allocation for Users With Multiple Connections: Fairness and Stability , 2014, IEEE/ACM Transactions on Networking.

[47]  Xiaofeng Liao,et al.  A Newton-Like Optimal Resource Allocation Algorithm and its Convergence for Wireless Ad Hoc Networks , 2014, J. Networks.

[48]  R. Srikant,et al.  Multi-Path TCP: A Joint Congestion Control and Routing Scheme to Exploit Path Diversity in the Internet , 2006, IEEE/ACM Transactions on Networking.

[49]  Antonio Iera,et al.  The Internet of Things: A survey , 2010, Comput. Networks.

[50]  Wei Sun,et al.  Fair resource allocation and stability for communication networks with multipath routing , 2014, Int. J. Syst. Sci..

[51]  Chao Yang,et al.  A Novel Coordinated Connection Access Control and Resource Allocation Framework for 4G Wireless Networks , 2015, IEEE/ACM Transactions on Networking.

[52]  Steven H. Low,et al.  Optimization flow control—I: basic algorithm and convergence , 1999, TNET.

[53]  Joel J. P. C. Rodrigues,et al.  Security mechanism for voice over multipath mobile ad hoc networks , 2011, Wirel. Commun. Mob. Comput..

[54]  Srikanth V. Krishnamurthy,et al.  Joint resource allocation and admission control in wireless mesh networks , 2009, 2009 7th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks.

[55]  Olivier Bonaventure,et al.  MultiPath TCP: From Theory to Practice , 2011, Networking.

[56]  Chao Yang,et al.  Resource Allocation for Semi-Elastic Applications With Outage Constraints in Cellular Networks , 2015, IEEE Transactions on Vehicular Technology.

[57]  Katia Obraczka,et al.  A survey on congestion control for delay and disruption tolerant networks , 2015, Ad Hoc Networks.

[58]  Steven H. Low,et al.  Multipath TCP: Analysis, Design, and Implementation , 2013, IEEE/ACM Transactions on Networking.

[59]  Jang-Won Lee,et al.  Distributed Algorithm for End-to-End Rate Control with User-Level Utility in Communication Networks , 2013, IEICE Trans. Commun..

[60]  Kin K. Leung,et al.  Towards a fair non-convex resource allocation in Wireless Networks , 2011, 2011 IEEE 22nd International Symposium on Personal, Indoor and Mobile Radio Communications.

[61]  Zhongxun Zhu,et al.  Utility Maximization Resource Allocation in Wireless Networks: Methods and Algorithms , 2015, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[62]  Wei He,et al.  Distributed Rate Allocation for Multi-path Routing Based on Network Utility Maximization , 2012, ICSI.

[63]  Marimuthu Palaniswami,et al.  Utility max-min fair resource allocation for communication networks with multipath routing , 2009, Comput. Commun..

[64]  M. Fazel,et al.  Network Utility Maximization With Nonconcave Utilities Using Sum-of-Squares Method , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[65]  Pablo Soldati,et al.  Fast Power Control for Cross-Layer Optimal Resource Allocation in DS-CDMA Wireless Networks , 2009, 2009 IEEE International Conference on Communications.

[66]  Choong Seon Hong,et al.  Joint Rate and Power Control in Wireless Network: A Novel Successive Approximations Method , 2010, IEEE Communications Letters.

[67]  Bi Jun,et al.  Allocation and scheduling of network resource for multiple control applications in SDN , 2015, China Communications.

[68]  Vasos Vassiliou,et al.  A Comprehensive Survey of Congestion Control Protocols in Wireless Sensor Networks , 2014, IEEE Communications Surveys & Tutorials.

[69]  Ness B. Shroff,et al.  Utility maximization for communication networks with multipath routing , 2006, IEEE Transactions on Automatic Control.

[70]  Ahmad Khonsari,et al.  NUM-based rate allocation for streaming traffic via Sequential Convex Programming , 2012, 2012 IEEE International Conference on Communications (ICC).

[71]  Xin Wang,et al.  Joint optimization of TCP congestion control and distributed CSMA scheduling , 2012, 2012 IEEE Global Communications Conference (GLOBECOM).

[72]  Jang-Won Lee,et al.  End-to-End Rate Control in Communication Networks Considering User-Level Satisfactions , 2010, 2010 7th IEEE Consumer Communications and Networking Conference.

[73]  Daniel Pérez Palomar,et al.  A tutorial on decomposition methods for network utility maximization , 2006, IEEE Journal on Selected Areas in Communications.

[74]  Ahmed Abdel-Hadi,et al.  An optimal resource allocation with joint carrier aggregation in 4G-LTE , 2015, 2015 International Conference on Computing, Networking and Communications (ICNC).

[75]  Asuman E. Ozdaglar,et al.  A Distributed Newton Method for Network Utility Maximization—Part II: Convergence , 2010, IEEE Transactions on Automatic Control.

[76]  Rudolf Ahlswede,et al.  Network information flow , 2000, IEEE Trans. Inf. Theory.

[77]  Jean C. Walrand,et al.  Fair end-to-end window-based congestion control , 2000, TNET.

[78]  Frank Kelly,et al.  Rate control for communication networks: shadow prices, proportional fairness and stability , 1998, J. Oper. Res. Soc..

[79]  Choong Seon Hong,et al.  Cross-Layer Design of Congestion Control and Power Control in Fast-Fading Wireless Networks , 2013, IEEE Transactions on Parallel and Distributed Systems.

[80]  Xu Li,et al.  Min Flow Rate Maximization for Software Defined Radio Access Networks , 2013, IEEE Journal on Selected Areas in Communications.

[81]  Jim Kurose,et al.  Computer Networking: A Top-Down Approach , 1999 .

[82]  Kin K. Leung,et al.  Optimization-based resource allocation in communication networks , 2014, Comput. Networks.

[83]  Bambang Soelistijanto,et al.  Transfer Reliability and Congestion Control Strategies in Opportunistic Networks: A Survey , 2014, IEEE Communications Surveys & Tutorials.

[84]  Stephen P. Boyd,et al.  Adaptive Modulation with Smoothed Flow Utility , 2010, EURASIP J. Wirel. Commun. Netw..

[85]  Jean C. Walrand,et al.  A Distributed CSMA Algorithm for Throughput and Utility Maximization in Wireless Networks , 2010, IEEE/ACM Transactions on Networking.

[86]  Xin-Ping Guan,et al.  Nonconvex maximization for communication systems based on particle swarm optimization , 2010, Comput. Commun..

[87]  Byoungheon Shin,et al.  Price-based congestion control and local channel-link assignment for multi-radio wireless mesh networks , 2014, Comput. Electr. Eng..

[88]  Muriel Médard,et al.  XORs in the Air: Practical Wireless Network Coding , 2006, IEEE/ACM Transactions on Networking.

[89]  A. Robert Calderbank,et al.  Layering as Optimization Decomposition: A Mathematical Theory of Network Architectures , 2007, Proceedings of the IEEE.

[90]  Choong Seon Hong,et al.  The successive approximation approach for multi-path utility maximization problem , 2012, 2012 IEEE International Conference on Communications (ICC).

[91]  Jim Esch,et al.  Software-Defined Networking: A Comprehensive Survey , 2015, Proc. IEEE.

[92]  Choong Seon Hong,et al.  Joint Rate and Power Control for Elastic and Inelastic Traffic in Multihop Wireless Networks , 2011, 2011 IEEE Global Telecommunications Conference - GLOBECOM 2011.

[93]  Guo-Fu Feng,et al.  Heterogeneous Resource Allocation Algorithm for Ad Hoc Networks with Utility Fairness , 2015, Int. J. Distributed Sens. Networks.

[94]  Gustavo Carneiro,et al.  Cross-layer design in 4G wireless terminals , 2004, IEEE Wireless Communications.

[95]  Choong Seon Hong,et al.  Cross-Layer Optimization for Congestion and Power Control in OFDM-Based Multi-Hop Cognitive Radio Networks , 2012, IEEE Transactions on Communications.

[96]  Hongke Zhang,et al.  Fair rate allocation for flows in concurrent multipath communications , 2014, Telecommun. Syst..

[97]  Yu Cao,et al.  Delay-based congestion control for multipath TCP , 2012, 2012 20th IEEE International Conference on Network Protocols (ICNP).

[98]  M. Motani,et al.  Cross-layer design: a survey and the road ahead , 2005, IEEE Communications Magazine.

[99]  Yuan Xue,et al.  Robust Joint Congestion Control and Scheduling for Time-Varying Multi-Hop Wireless Networks With Feedback Delay , 2014, IEEE Transactions on Wireless Communications.

[100]  H. Vincent Poor,et al.  Energy-Efficient Resource Allocation Optimization for Multimedia Heterogeneous Cloud Radio Access Networks , 2016, IEEE Transactions on Multimedia.

[101]  Tony Q. S. Quek,et al.  Cross-layer resource allocation in cloud radio access network , 2014, 2014 IEEE Global Conference on Signal and Information Processing (GlobalSIP).

[102]  Ness B. Shroff,et al.  Non-convex optimization and rate control for multi-class services in the Internet , 2005, IEEE/ACM Transactions on Networking.

[103]  Yongxiang Xia,et al.  Optimal resource allocation under TCP Reno and Vegas in complex communication networks , 2015, 2015 IEEE International Symposium on Circuits and Systems (ISCAS).

[104]  Choong Seon Hong,et al.  Utility Maximization with Packet Collision Constraint in Cognitive Radio Networks , 2012, IEICE Trans. Commun..

[105]  Choong Seon Hong,et al.  ecMTCP: An Energy-Aware Congestion Control Algorithm for Multipath TCP , 2012, IEEE Communications Letters.

[106]  Choong Seon Hong,et al.  mReno: a practical multipath congestion control for communication networks , 2014, Computing.

[107]  Choong Seon Hong,et al.  Joint rate adaption, power control, and spectrum allocation for OFDMA-based multi-hop CRNs , 2011 .

[108]  Iyyapillai Ambika,et al.  An effective queuing architecture for elastic and inelastic traffic with different dropping precedence in MANET , 2014, EURASIP J. Wirel. Commun. Netw..

[109]  Monia Ghobadi,et al.  Rethinking end-to-end congestion control in software-defined networks , 2012, HotNets-XI.

[110]  Hongke Zhang,et al.  Distributed rate allocation for flows in best path transfer using SCTP multihoming , 2011, Telecommun. Syst..

[111]  R. Srikant,et al.  A tutorial on cross-layer optimization in wireless networks , 2006, IEEE Journal on Selected Areas in Communications.

[112]  Ahmad Khonsari,et al.  Quasi-Optimal Network Utility Maximization for Scalable Video Streaming , 2011, ArXiv.

[113]  Wonsik Yoon,et al.  Distributed Joint Rate Control, Resource Allocation, and Congestion Control for Throughput Optimization in Multirate Multiradio Multichannel Wireless Network with Intersession/Intrasession Network Coding , 2016, Wirel. Pers. Commun..

[114]  Marco Fiore,et al.  Concurrent multipath communication for real-time traffic , 2007, Comput. Commun..

[115]  Le Thi Hoai An,et al.  Network utility maximisation: A DC programming approach for Sigmoidal utility function , 2013, 2013 International Conference on Advanced Technologies for Communications (ATC 2013).

[116]  Marimuthu Palaniswami,et al.  Optimal flow control and routing in multi-path networks , 2003, Perform. Evaluation.

[117]  Choong Seon Hong,et al.  Multi-path utility maximization and multi-path TCP design , 2011, J. Parallel Distributed Comput..

[118]  Hoon Kim,et al.  Globally Optimal Solutions for Cross-Layer Design in Fast-Fading Lossy Delay-Constrained MANETs , 2015 .

[119]  Janardhan R. Iyengar,et al.  Concurrent Multipath Transfer Using SCTP Multihoming Over Independent End-to-End Paths , 2006, IEEE/ACM Transactions on Networking.

[120]  Sheng Chen,et al.  Cross-Layer Software-Defined 5G Network , 2014, Mob. Networks Appl..

[121]  Jang-Won Lee,et al.  Cross-layer and end-to-end optimization for the integrated wireless and wireline network , 2012, Journal of Communications and Networks.

[122]  Choong Seon Hong,et al.  Joint Congestion Control and Power Control With Outage Constraint in Wireless Multihop Networks , 2012, IEEE Transactions on Vehicular Technology.

[123]  Lyndon Ong,et al.  An Introduction to the Stream Control Transmission Protocol (SCTP) , 2002, RFC.

[124]  Daniel Pérez Palomar,et al.  Alternative Distributed Algorithms for Network Utility Maximization: Framework and Applications , 2007, IEEE Transactions on Automatic Control.

[125]  Mung Chiang Balancing transport and physical Layers in wireless multihop networks: jointly optimal congestion control and power control , 2005 .

[126]  Jiaheng Wang,et al.  Energy-Efficient Resource Assignment and Power Allocation in Heterogeneous Cloud Radio Access Networks , 2014, IEEE Transactions on Vehicular Technology.

[127]  Robert Wójcik,et al.  A survey on methods to provide multipath transmission in wired packet networks , 2015, Comput. Networks.

[128]  Jamie S. Evans,et al.  Optimal and distributed protocols for cross-layer design of physical and transport layers in MANETs , 2008, IEEE/ACM Trans. Netw..

[129]  Vincent W. S. Wong,et al.  Random access for elastic and inelastic traffic in WLANs , 2010, IEEE Transactions on Wireless Communications.

[130]  Kin K. Leung,et al.  A new distributed optimization framework for hybrid ad-hoc networks , 2011, 2011 IEEE GLOBECOM Workshops (GC Wkshps).

[131]  Yang Dacheng Utility-Based Resource Allocation in Wireless Networks , 2010 .

[132]  Bo Fu,et al.  A Survey of Cross-Layer Designs in Wireless Networks , 2014, IEEE Communications Surveys & Tutorials.

[133]  Chin-Feng Lai,et al.  Integration of SDR and SDN for 5G , 2014, IEEE Access.

[134]  Yong Xiang,et al.  Software-Defined Wireless Networking Opportunities and Challenges for Internet-of-Things: A Review , 2016, IEEE Internet of Things Journal.

[135]  Choong Seon Hong,et al.  The random access NUM with multiclass traffic , 2012, EURASIP J. Wirel. Commun. Netw..

[136]  Steven H. Low,et al.  A duality model of TCP and queue management algorithms , 2003, TNET.

[137]  Yuan Li,et al.  Heterogeneous cloud radio access networks: a new perspective for enhancing spectral and energy efficiencies , 2014, IEEE Wireless Communications.

[138]  Sanjay Shakkottai,et al.  Hop-by-Hop Congestion Control Over a Wireless Multi-Hop Network , 2004, IEEE/ACM Transactions on Networking.

[139]  Pablo Soldati,et al.  Reducing Signaling and Respecting Time-Scales in Cross-Layer Protocols Design for Wireless Networks , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[140]  Pablo Soldati,et al.  Proportionally fair allocation of end-to-end bandwidth in STDMA wireless networks , 2006, MobiHoc '06.

[141]  Pablo Soldati,et al.  Mathematical decomposition techniques for distributed cross-layer optimization of data networks , 2006, IEEE Journal on Selected Areas in Communications.

[142]  Vincent W. S. Wong,et al.  Joint Optimal Channel Assignment and Congestion Control for Multi-channel Wireless Mesh Networks , 2006, 2006 IEEE International Conference on Communications.

[143]  Pascal Frossard,et al.  Distributed Rate Allocation in Inter-Session Network Coding , 2014, IEEE Transactions on Multimedia.

[144]  Byung-Guk Kim,et al.  Congestion control and user utility function for real-time traffic , 2013, 2013 IEEE Globecom Workshops (GC Wkshps).

[145]  Xiaofeng Liao,et al.  Optimal rate and power allocation under quality-of-service requirements for wireless multihop networks , 2014, Int. J. Commun. Syst..

[146]  Jie Wu,et al.  Joint TCP Congestion Control and CSMA Scheduling without Message Passing , 2013, IEEE Transactions on Wireless Communications.

[147]  Erik G. Larsson,et al.  Massive MIMO for next generation wireless systems , 2013, IEEE Communications Magazine.

[148]  Mark Handley,et al.  TCP Extensions for Multipath Operation with Multiple Addresses , 2020, RFC.

[149]  Carl Wijting,et al.  Device-to-device communication as an underlay to LTE-advanced networks , 2009, IEEE Communications Magazine.

[150]  Heung-No Lee,et al.  Energy-efficient utility maximization for wireless networks with/without multipath routing , 2010 .

[151]  Eitan Altman,et al.  Multiscale Fairness and Its Application to Resource Allocation in Wireless Networks , 2011, Networking.

[152]  Yuguang Fang,et al.  A Class of Cross-Layer Optimization Algorithms for Performance and Complexity Trade-Offs in Wireless Networks , 2009, IEEE Transactions on Parallel and Distributed Systems.

[153]  Mark Handley,et al.  Coupled Congestion Control for Multipath Transport Protocols , 2011, RFC.

[154]  Gang Feng,et al.  Joint Transmission Rate Control and Opportunistic Network Coding Over Wireless Networks , 2014, Wirel. Pers. Commun..

[155]  Won-Joo Hwang,et al.  A multi-timescale cross-layer approach for wireless ad hoc networks , 2015, Comput. Networks.

[156]  Fotis Foukalas,et al.  Cross-layer design proposals for wireless mobile networks: a survey and taxonomy , 2008, IEEE Communications Surveys & Tutorials.

[157]  Zhiguo Ding,et al.  Energy-Efficient Joint Congestion Control and Resource Optimization in Heterogeneous Cloud Radio Access Networks , 2016, IEEE Transactions on Vehicular Technology.

[158]  Won-Joo Hwang,et al.  Resource Allocation for Heterogeneous Traffic in Complex Communication Networks , 2016, IEEE Transactions on Circuits and Systems II: Express Briefs.

[159]  Martin Mauve,et al.  Implicit hop-by-hop congestion control in wireless multihop networks , 2008, Ad Hoc Networks.