异构无线网络中无线资源管理若干问题的研究
详细信息    本馆镜像全文|  推荐本文 |  |   获取CNKI官网全文
摘要
随着移动通信与信息技术的快速发展,无线通信领域产生了各种无线接入技术以满足人们的生活工作需要。不同的无线网络在接入技术、终端、业务等方面都具有异构性,这样对异构融合网络的可靠性、稳定性、可扩展性提出了挑战。面对多用户,多种业务,高速率的业务需求以及复杂的异构无线环境,为了有效利用异构融合网络中的无线资源,迫切需要高效动态的无线资源管理机制保证整个融合系统具有良好的性能,所以对无线资源管理机制的研究具有重要的意义。
     本文对异构网络无线资源管理中的网络选择,垂直切换、呼叫接纳控制以及运营商定价与资源分配四个方面的问题进行了探讨,提出了相应的优化机制,并通过建立数学模型与仿真实验及其结果分析证实了算法的有效性,主要研究工作及创新点如下:
     针对异构无线网络中的网络选择问题从两个方面提出了优化机制,第一个方面对决策因素权重的确定方法进行优化,提出了用可拓模糊层次分析法来获得权重,该方法应用可拓理论计算得到每个决策因素的隶属度,体现了网络间的客观差异程度,然后结合业务类型得到每个决策因素的业务隶属度,再应用模糊层次分析法获得每个决策因素的综合权重,该机制克服了层次分析法中通过人为打分获得权重的主观性问题。第二个方面提出了一种简单有效的优化方法来兼顾用户偏好与运营商偏好,先应用简单加权法分别计算用户偏好与运营商偏好下的各候选网络的性能函数值,并可以根据网络的实际情况动态地设置相应的加权系数,将两种偏好下的各候选网络的性能值相加,具有最大总性能值的网络为最优网络。仿真结果表明提出的网络选择机制在同时考虑了用户偏好与运营商偏好的前提下,有效地平衡了各网络间的负载,提高了整个系统的资源利用率。
     针对异构无线网络中的垂直切换问题,提出了一种优化方法。将异构无线网络垂直切换决策过程中的切换触发,目标网络选择以及切换执行三个方面作为有机整体进行研究。考虑以SINR作为切换触发判决因素,提出了一种将灰度预测模型与BP神经网络相结合的组合模型预测SINR的方法,以提高SINR的预测精度及切换触发机制的可靠性。接着构建了一个代价函数,能够结合网络实际条件,业务QoS要求以及用户偏好来选择目标网络。仿真结果表明,所提出的垂直切换机制能够提高系统吞吐量,减少垂直切换次数以及降低系统丢话率。
     针对异构无线网络中的呼叫接纳控制问题,提出了一个最优联合呼叫接纳控制机制,综合考虑了无线网络覆盖范围内不同区域用户业务所能达到的峰值速率及不同的业务类型两个方面的因素,将联合呼叫控制机制建模为一个半马尔可夫决策模型,基于相应的状态空间、行为空间、状态转移概率,并根据业务QoS要求及网络条件提出了一个基于业务类型的接纳效用函数对接纳收益进行评估。在保证业务接纳成功率以及低阻塞率的基础之上,通过最优控制策略使平均接纳效用达到最大值。仿真结果表明所建立的接纳效用函数能够有效反映网络条件的变化对接纳控制的影响,满足业务的QoS要求,获得较高的平均接纳效用,较大的系统吞吐量,同时保证了较低的业务阻塞率。
     基于存在多个运营商与多个用户的异构无线网络环境,提出了基于博弈论的分布式定价与资源分配机制。首先,研究了运营商间的竞争定价行为,通过最优反应函数获得运营商间的非合作博弈纳什均衡价格。该均衡价格使各个运营商的收益达到最大值。接着,考虑了运营商间的合作博弈来确定最优价格,并提出了一个总收益在运营商间分配的方法,比较和分析了非合作博弈与合作博弈定价对运营商收益的影响。最后,为了体现在运营商定价与资源分配过程中用户行为与运营商行为的相互影响,将运营商定价与用户带宽需求之间的竞争关系建模成一个两阶段的Stackelberg博弈模型,设计了一个考虑用户效用,用户花费,时延花费的用户收益函数,并应用一种只需要局部信息的分布式迭代算法获得了该博弈模型的子博弈完美均衡。最终运营商收益与用户收益均达到了最大值。
With the rapid development of mobile communication and information technology, various emerging wireless access technologies out of the area of wireless communication are to satisfy people's needs of work and life. Different wireless technologies are heterogeneous in terms of access technology, terminal and service, which brings challenges to the reliability, stability and expansibility of heterogeneous integrated network. Facing multi-users, multi-services, high-speed service needs and complex heterogeneous wireless environment, in order to effectively use the wireless resources in heterogeneous network, efficient dynamic management mechanism of wireless resources is highly needed to guarantee fine performance of the whole integrated system. Therefore, the research of wireless resources management mechanism is very significant.
     This paper researches on network selection, vertical handoff, call admission control and provider pricing for wireless resource management in heterogeneous wireless networks. In the same time, it proposes corresponding optimal schemes that are veritified to be valid through mathematics model and simulation results. Specifically, This paper main contributions can be included in the follows:
     In the first place, an optimal mechanismfrom two aspects is proposed on how to make a network selection in heterogeneous network, one is to optimize the determination method of decision-making factor weights, and using fuzzy Analytic Hierarchy Process (AHP) and extension theory to obtain weights is raised, by which the degree of membership of each decision-making factor could be obtained through the calculation of extension theory and the degree of variance among networks is also reflected. Then in the combination of service types obtaining service membership degree of each decision-making factor, the comprehensive weights of each decision-making factor obtained by using Fuzzy Analytic Hierarchy Process (AHP). This mechanism overcame the subjectivity of man-made scoring in AHP. The other is to propose a simple and effective optimal method taking into account of users'and service suppliers'preferences, by which the performance of function value of each candidate network under the preferences of users and service suppliers would be calculated respectively by Simple Additive Weigting(SAW) method, and corresponding weighting coefficient could be dynamically set in accordance with the actual situation of network. Then adding the performance values of each candidate network together will achieve the general performance value of each candidate network, and the one with maximum general performance value is optimal network. Simulation results show that the proposed network selecting mechanism, on the premise of taking users' and service suppliers' preferences into consideration, effectively balanced the load of different network and increased the use efficiency of the whole system.
     In the second place, an optimized idea is proposed taking handoff trigger in the process of vertical handoff of heterogeneous wireless network, target network selecting and cutover execution as an organic whole. Taking SINR as the decision factor of handoff trigger, a combined model prediction method is proposed by connecting gray prediction model and BP neural network, so as to increase the predicting accuracy of SINR and reliability of switch trigger mechanism. Then a cost function is constructed, which could select target network in line with network actual situation, requirement of QoS and users'preference. Before the execution of vertical handoff, the selected target network would be accessed several times in regular period, so as to reduce the unnecessary handoff and system signaling overhead. Simulation results show that the proposed vertical handoff mechanism is capable of increasing the system throughput, reducing the number of times of vertical handoff and lowering system dropping probability.
     Next, an optimal combined call admission control mechanism is proposed, in which the peak rate that users could get in different areas covered by wireless network and different service types are taken into consideration, and the joint call control mechanism is modeled into a semi-Markov decision-making model. Corresponding status spaces are established based on network capacity, and corresponding action spaces are also established in view of different service types and call types, at the same time, state transition probability of system is deduced on the basis of service model. In addition, in the light of QoS requirement and analysis of network conditions, an admission utility function based on service types is put forward to estimate theadmission utility. On the basis of guaranteeing success rate of service admission and low blocking rate, the maximum value of average admission utility will be obtained through optimal control strategy. Simulation results show that the established admission utility function is able to effectively reflect the influences of changing network conditions to admission control, satisfy the requirement of QoS, and obtain higher average admission utility and larger system throughput and guaranteeing lower blocking rate.
     Final, this paper proposes prcing and resource allocation scheme based on game theory in multi providers and multi users heterogeneous wireless environment. First discusses the noncooperative game producing effect on provider pricing, Nash equilibrium is considered as the solution of this game. Next, considers the pricing under the cooperative game, comparing the providers revue difference between noncooperative game and cooperative game. Final, a allocation scheme is adopted to attain maximation revue of both providers ang users based on multi-leader Stackelberg games, and designs a user revue function about uer utility, user cost and delay cost. A distributed iterative algorithm is derived to obtain optimal bandwidth allocation and pricing strategies for user and providers respectively.
引文
[1]Kaveh Pahlavan, Prashant Krishnamurthy. Principles of wireless networks[M].刘剑,安晓波,李春生,译.中国:清华大学出版社,2002
    [2]Andrea Goldsmith.Wireless Communications [M].杨鸿文,李卫东,郭文彬等,译.中国:人民邮电出版社,2007.
    [3]Theodore S.Rappaport.Wireless Communications Principles and Practice,second edition[M].周文安,付秀华,王志辉等,译.中国:电子工业出版社,2006.
    [4]M.Rinne,O.Tirkkonen. LTE, The Radoi Technology Path Towards 4G [J].Computer Communications,2010,33(16):1894-1906.
    [5]Amitava Ghosh, Rapeepat Ratasuk, Bishwarup Mondal, Nitin Mangalvedhe, And Tim Thomas, Motorola Inc. LTE-Advanced:Next-Generation Wireless Broadband Technology [J]. IEEE Wireless Communications,2010,17(3):10-22.
    [6]张天魁,冯春燕,曾志民等.B3G/4G移动通信系统中的无线资源管理[M].电子工业出版社,2011.
    [7]钱进.无线局域网技术与应用[M].电子工业出版社,2004.
    [8]谢刚.WiMax技术原理与应用[M].北京邮电大学出版社,2010.
    [9]高泽华.宽带无线城域网—-WiMAX技术与应用[M].人民邮电出版社,2008.
    [10]http://www.c114.net/news/41/a716920.html
    [11]http://news.chinaventure.com.en/1/20121218/106389_1.shtml
    [12]http://telecom.chinabyte.eom/114/12549114.shtml
    [13]EkramH. Heterogeneous Wireless Access Networks:Architectures and Protocols [M]. Springer,2008.
    [14]Chen Y P, Yang Y H. A New 4G Architecture Providing Multimode Terminals Always Best Connected Services [J]. IEEE Wireless Communicationss,2007, 14(2):36-41.
    [15]Akyildiz I F, MohantyS, Xie J.A Ubiquitous Mobile Communication Architecture for Next-Generation Heterogeneous Wireless Systerms [J]. IEEE Communications Magazine,2005,43(6):S29-S36.
    [16]ITU-R M.2038. Technology Trends.2004. http://www.itu.int.
    [17]3GPP TS 23.234.V9.0.0,3GPP System to Wireless Local Area Network (WLAN) Interworking[S]. System Description (Release 9),2009.
    [18]Pan Li, Yuguang Fang. On the Throughput Capacity of Heterogeneous Wireless Networks[J]. IEEE Transaction on Mobile Computer,2012,11(12):2073-2086.
    [19]Shuping Yen, Geng Wu and Kerstin Johnsson. Capacity and coverage Enhancement in Heterogeneous Networks[J]. IEEE Wireless Communication, 2011,18(3):32-38.
    [20]续合元.泛在网络架构的研究,电信网技术[J].2009:22-26.
    [21]胡海波.无线异构网络发展综述,电信网技术[J].2009,12:19-22.
    [22]贺昕,李斌.异构无线网络切换技术[M].北京邮电大学出版社,2008.
    [23]IETF Working Group. Mobility for IPV4(mip4).[online]. Available: http://www.ietf.org/html.charters/mip6-charter.html
    [24]Perkins C. IP mobility support [S]. RFC 2002,1996.
    [25]Johnson, D. B, and C. Perkins. Mobility Support in IPv6. Internet-draft, http://draft-ietf-mobileip-ipv6-13.txt, work in progress, November 2000.
    [26]Koodli et al. Fast Handovers for Mobile IPv6 [S]. IETF RFC 4608, June 2005.
    [27]Soliman H, Castelluccia C, Malki K E, et al. Hierarchical Mobile IPv6 MobilityManagement (HMIPv6) [S]. IETF RFC4140,2005.
    [28]S.Gundavelli, K.Leung, V. Devarapalli, K.Chowdhury,and B. Patil. Proxy Mobile IPv6[S]. RFC 5231,2008.
    [29]Das,S.,A.Misra, and P. Agrawal,TeleMIP. Telecommunications-Enhanced Mobile IP Architecture for Fast Intradomain Mobility[J]. IEEE Personal Communications, 2000,7(4):50-58.
    [30]Rosenberg J, et al. SIP:Session Initiation Protocol (S].IETF RFC3261, June 2002.
    [31]Schooler, E., et al. SIP:Session Initiation Protocol[S]. IETF RFC 2543,March 1999.
    [32]胡博.互联网网络层移动性管理关键技术的研究[D].北京邮电大学,2006.
    [33]汪静.下一代网络的移动性管理技术研究[D].华东师范大学,2008.
    [34]古晨.下一代无线融合网络中移动性管理技术的研究[D].北京邮电大学,2010.
    [35]包力尔.移动IP中的切换及移动性管理研究[D].华中科技大学,2010.
    [36]刘侠.下一代无线通信网络中移动性管理关键技术的研究[D].上海交通大学,2010.
    [37]延志伟.基于MIPv6/PMIPv6的移动性支持关键技术研究[D].北京交通大学,2011.
    [38]RAMONFERRUS, OriolSallent, RamonAgusti. Interworking in heterogeneous wireless networks:comprehensive framework and future trends[J]. IEEE Wireless Communications,2010:22-30.
    [39]刘露,异构/融合网络中端到端服务质量控制与管理的研究[D].北京邮电大学,2010.
    [40]Mehdi Alasti, Behnam Neekzad, Jie Hui and Rath Vannithamby. Quality of Service in WiMAX and LTE Networks [J]. IEEE Communications Magazine, 2010,48(5):104-111.
    [41]Jingjing Zhang, Nirwan Ansari. On Assuring End-to-End QoE in Next Generation Networks:Challenges and a Possible Solution[J]. IEEE Communications Magazine,2010,49(7):185-191.
    [42]DRIVE. Functional Description of Traffic Control in DRIVE[N]. IST-1999-12515/DRIVE/WP2/D04.5,2001.
    [43]EVEREST Project, http://www.ist-world. org.
    [44]http://www.ambient-network. org.
    [45]Gustafsson E,Jonsson A. Always Best Connection-ABC[J]. IEEE Wireless Communications,2003,10(1):49-55.
    [46]EC FP7-216856 Aragorn (Adaptive Reconfigurable Access and Generic interfaces for Optimization in Radio Networks) Project,2008-2010. http://www.ict-aragorn.eu/[OL].
    [47]Wei Song, Hai Jiang, Weihua Zhuang, and Xuemin Shen. Resource Management for QoS Support in Cellular/WLAN Interworking [J]. IEEE Network,2005,19(5):12-18.
    [48]朱禹涛.IMT-Advanced标准化进展介绍[J].移动通信,2008,32(16):10-12.
    [49]杨放春,下一代网络中的关键技术[N].北京邮电大学学报,26(1),2003.
    [50]3GPP TS 22.228 v10.2.0. Service requirements for the Internet Protocol(IP) Multimedia Coe Network Subsystem[S].2009.
    [51]3GPP TR 25.891 v0.3.0. Improvement of RRM across RNS and RNS/BSS(release 6)[S],2003.
    [52]3GPP TR 22.934 V6.0.0. Feasibility study on 3GPP system to Wireless Local Area Network (WLAN) interworking (Release 6) [S],2002.
    [53]IEEE 802.21 WG. IEEE Standard for Local and Metropolitan Area Networks. Part 21:Media Independent Handover Services [S]. IEEE Std 802.21-2008, January 2009.
    [54]IEEE Std 1900.4a-2011,IEEE Standard for Architectural Building Blocks Enabling Network-Device Distributed Decision Making for Optimized Radio Resource Usage in Heterogeneous Wireless Access Networks[S]. IEEE Communication Society, September 2011.
    [55]Daviid Lopez-Perez, Ismail Guvenc,Guillaume De La Roche,Marios Kountouris, Tony Q.S.Quek, Jie Zhang. Enhanced Intercell Interference Coordination Challenges in Heterogeneous Networks [J] 2011,18(3):22-30.
    [56]Jalal J.Hamad Ameen, Widad Binti Ismail. Radio Acess Network(RAN) Architecture Development for a 4G Mobile System with Reduced Interference[J]. Journal of Electrical and Electronics Engineering Research, 2011,3(1):11-17.
    [57]Nageen Himayat, Shilpa Talwar, Anil Rao and Robert Soni. Interference Management for 4G Cellular Standards[J]. IEEE Communications Magazine, 2010,48(8):86-92.
    [58]Jiannong Cao, Chisheng Zhang, Jun Zhang, Yueming Deng, Xin Xiao, Miao Xiong, Jie Zhou, Yang Zou, Gang Yao, Wei Feng,Liang Yang,Yao Yu. SHAWK: Platform for Secure Integration of Heterogeneous Advanced Wireless Networks[C]. In International Conference on Advanced Information Networking and Applications Workshops,2012,13-18.
    [1]A.K.Salkintzis, C.Fors, and R.Pazhyannur. WLAN-GPRS Integration for Next-Generation Mobile Data Networks [J]. IEEE Wireless Communications, 2002,9(5):112-124.
    [2]A.K.Salkintzis. Interworking Techniques and Architectures for WLAN/3G Integration Toward 4G Mobile Data Networks [J]. IEEE Wireless Communications,2004,11(3):50-61.
    [3]A.K.Salkintzis. WLAN/3G Interworking Architectures for next Generation Hybird Data Networks[C]. IEEE International Conference on Communications,2002.
    [4]V.K.Varma et al. Mobility Management in Integrated UMTS/WLAN Networks [C]. IEEE International Conference on Communications,2003.
    [5]Kenichi Taniuchi, et al. IEEE 802.21:Media Independent Handover:Features, Applicability, and Realization[J]. IEEE Communications Magazine,2009,47(1): 112-120.
    [6]IEEE Standard for Local and Metropolitan Area Networks:Media Independent Handover Optimization[S]. IEEE Standard 802.21-2008,2009.
    [7]A. Dutta,ED. A Framework of Media-Independent Pre-Authentication(MPA) for Interdomain Handover Optimization[J]. IETF MOBOPTS Research Group,2008; draft-irtf-mobopts-mpa-framework-04, work in progress.
    [8]E.E.Prince, V.Sumathy. Handover Performance Evaluation in WiFi/WiMax Networks using M-SIP [J]. International Journal of Network and Mobile Technologies,2011,2(2):81-87.
    [9]Co-authored by Motorola and Intel. WiMax and WiFi Together:Deployment Models and User Scenarios. White paper, [Online],available at:http://bit.ly/toafUa, Last accessed:2011.12.25.
    [10]Sarakis. L, Kormentzas. G, Guirao.F.M. Seamless Service Provision for Multi Heterogeneous Access[J]. IEEE Wireless Communications,2009,16(5):32-40.
    [11]罗强,张平.B3G网络联合无线资源管理的研究[J].电信科学,2006,6:43-47.
    [12]张平,冯志勇.认知无线网络[M].科学出版社,2010:129-254.
    [13]3GPP.Improvement of Radio Resource Management(RRM) across RNS and RNS/BSS. TR25.881,3 rdGeneration Partnership Project, December 2001. Release 5. Available from:http://www.3gpp.org/ftp/Specs/html-info/25881.htm [cited June 2008].
    [14]Luo J, Mukerjee R, Dillinger M, Mohyeldin E, Schultz E. Investigation of Radio Resource Scheduling in WLANs Coupled with 3G Cellular network[J]. IEEE Communications Magazine 2003,41 (6):108-115.
    [15]Tolli A, Hakalin P,Holma H. Performance Evaluation of Common Radio Resource Management(CRRM)[C]. Proceedings of the IEEE International Conference on Communications,2002.
    [16]Miguel Lopez-Benitez, Javier Gozalvez. Common Radio Resource Management Algorithms for Multimedia Heterogeneous Wireless Networks[J]. IEEE Transaction on Mobile Computer,2011,10(9):1201-1213.
    [17]A. Tolli and P. Hakalin. Adaptive Load Balancing Between Multiple Cell Layers[C]. IEEE 56th Vehicular Technology Conference,2002, vol.3:1691-1695.
    [18]X. Gelabert, J. Perez-Romero, O. Sallent, and R. Agusti. On the Suitability of Load Balancing Principles in Heterogeneous Wireless Access Networks [C]. Wireless Personal Multimedia Communications,2005.
    [19]Perez-Romero.J, Sallent.O, Agusti. R, Karlsson. P, Barbaresi.A, Wang L, Cabral-Pinto.F. Common Radio Resource Management:Functional Models and Implementation Requirements[C]. Personal, Indoor and Mobile Radio Communication,2005.
    [20]Abdul Hasib, Abraham O. Fapojuwo. Analysis of Common Radio Resource Management Scheme for End-to-End QoS Support in Multiservice Heterogeneous Wireless Networks [J]. IEEE Transactions on Vehicular Technology,2008,57(4):2426-2439.
    [21]3 GPP, Improvement of Radio Resource Management(RRM) Across RNS and RNS/BSS, Technical Report 25.881,v5.0.0, Jan.2002.
    [22]3 GPP, Improvement of Radio Resource Management(RRM) Across RNS and RNS/BSS Post-Rel-5,Technical Report 25.891,v0.3.0, June 2003.
    [23]Sallent, O. (2006). A Perspective on Radio Resource Management in B3G. In Proceedings of the 3 rd International Symposium on Wireless Communication Systems (ISWCS) (pp.30-34). Valencia, Spain.
    [24]J. Gozalvez, M.C.Lucas-Estan, J. Sanchez-Soriano. Joint Radio Resource Management for Heterogeneous Wireless Systms [J]. Wireless Networks,2012, 18(4):443-455.
    [25]M. Carmen Lucas Estan, Javier Gozalvez. On the Real-Time Hardware Implementation Feasibility of Joint Radio Resource Management Policies for Heterogeneous Wireless Networks [J]. IEEE Transactions on Mobile Computing, 2013,12(2):193-205.
    [26]李希金,异构无线网络中资源管理技术研究[D].北京邮电大学,2011.
    [27]J.Lundsjo, et al. A Multi-Radio Access Architecture for Ambient Networking[C]. 14th IST Mobile &Wireless Communications Summit, Dresden, Germany,19-23 June 2005.
    [28]Ambient Networks. Multi-Radio Access Architecture[C]. Project Deliverable D2-4, December 2005.
    [29]F. Berggren, A. Bria, L. Badia, et al. Multi-radio resourcemanagement for ambietnetworks, Proc. IEEE PIMRC'05,2005.
    [30]Yonghoon Choi, Hoon Kim, Sang-wook Han, et al. Joint Resource Allocation for Parallel Multi-radio Access in Heterogeneous Networks[J]. IEEE Trans. on Wireless Communications,2010,9(11):3324-3329.
    [31]IEEE Standard for Architectural Building Blocks Enabling Network-Device Distributed Decision Making for Optimized Radio Resource Usage in Heterogeneous Wireless Access Networks,2009.
    [32]Chungang Yang, Jiandong Li. Dynamic resource management mechanism design for heterogeneous networks under IEEE 1900.4 framework:a network utility maximization perspective[C].IEEE International Conference on Wireless Communications, Networking and Information Security (WCNIS'10),2010.
    [33]S.Filin, H.Harada, H.Murakami, et al. IEEE 1900.4 Generic Procedures to Realize Dynamic Spectrum Access Use Cases [J]. IEEE Urocon 2009:1910-1914.
    [34]Soodesh Buljore, Paul Houze, Oliver Holland, et al. Architecture and Enablers for Optimized Radio Resource Usage in Heterogeneous Wireless Access Networks: the IEEE 1900.4 Working Group[J]. IEEE Communications Magazine,2009, 47(1):122-129.
    [35]Clifford C.L. Sibanda, Antoine B.Bagula. Network Selection for Mobile Nodes in Heterogeneous Wireless Networks Using Knapsack Problem Dynamic Algorithms[C].20th Telecommunications Forum (TELFOR),2012.
    [36]M.Corici, J.Fiedler, D.Vingarzan and T.Magedanz. The Access Network Discovery and Selection in the Future Broadband Wireless Environment [C]. Proceedings of MobilWare, July 2010.
    [37]Aggeliki Sgora, Dimitrios D. Vergados. Handoff Prioritization and Decision Schemes in Wireless Cellular Networks:a Survey[J]. IEEE Communications Surveys &Tutorials,2009,11(4):57-77.
    [38]A. Singhrova, N.Prakash. Vertical Handoff Decision Algorithm for Improved Quality of Service in Heterogeneous Wireless Networks[J]. IET Communications, 2010,6(2):211-223.
    [39]Dong Ma, Maode Ma. A QoS Oriented Vertical Handoff Scheme for WiMax/WLAN Overlay Networks[J]. IEEE Transactions on Parallel and Distributed Systems,2012,23(4):598-606.
    [40]W.Lee, E.Kim, J.Kim, I.Lee, and C.Lee. Movement-Aware Vertical Handoff of WLAN and Mobile WiMAX for Seakless Ubiquitous Access[J]. IEEE Transaction on Consumer Electronics,2007,53(4):1268-1275.
    [41]M.J.Kim, S.W.Son, and B.H.Rhee. QoS Based Provisioning Vertical Handover Between IEEE802.11 and 802.16[C]. Proc. 11th Int'l Conf. Advanced Comm. Technology(ICACT),2009.
    [42]D.Ma and M.Ma. A QoS-based Vertical Handoff Scheme for Interworking of WLAN and WiMAX[C]. IEEE Global Telecommunication Conference,2009.
    [43]R.Chakravorty et al. On Inter-network Handover Performance Using Mobile IPv6[C]. University of Cambridge Computer.Lab.,tech.rep.,June 2003.
    [44]Nidal Nasser, Ahmed HAsswa and Hossam Hassanein. Handoffs in Fourth Generation Heterogeneous Networks[J]. IEEE Communications Magazine,2006, 44(10):96-103.
    [45]Dusit Niyato, and Ekram Hossain. Call Admission Control for QoS Provisioning in 4G Wireless Networks:Issues and Approaches[J]. IEEE Networks,2005, 19(5):5-11.
    [46]M.Khabazian, O.Kubbar, H.Hassanein. Call Admission Control with Resource Reservation for Multi-service OFDM Networks.2012 International Conference on Computing, Networking and Communications(ICNC),2012.
    [47]Shusmita A. Sharma, Mohammad R.Amin, Manzur Murshed. Call Admission Control Policy for Multiclass Traffic in Heterogeneous Wireless Networks[C]. The 11th International Symposium on Communications and Information Technologies,2011:433-438.
    [48]Mohammed M.Alkhawlani, Sanaa,Yemen. MCDM based Joint Admission Control for Heterogeneous Wireless Networks[C].2012 Seventh International Conference on Computer Engineering and Systems,2012.
    [49]邮红艳,何晨,蒋铃鹤.应用进化博弈论分配异构网络业务负载[C].2003年,通信理论与信号处理年会.
    [50]Niyato D, Hossain E. A Cooperative Game Framework for Bandwidth Allocation in 4G Heterogeneous Wireless Networks [C]. ICC,2006,9:4357-4362.
    [51]A. Farbod, B. Liang. Structured Admission Control Policy in Heterogeneous Wireless Networks with Mesh Underlay [C]. IEEE INFOCOM 2009,495-503.
    [52]M.A. Khan. Auction based Interface Selection in Heterogeneous Wireless Networks, in the 2nd IFIP Wireless Days, (WD),2009.
    [53]D. E. Charilas, O. I. Markaki, and P. T. Vlacheas. Admission Control as a Non-Cooperative Multi-Stage Game between Wireless Networks [C]. International Conference on Systems, Signals and Image Processing,2009.
    [54]R. Menon, A.B. MacKenzie, J. Hicks, et al. A Gametheoretic Framework for Interference Avoidance [J]. IEEE Transactionson Communications,2009,57 (4): 1087-1098.
    [1]Gustafsson E, Jonsson A. Always Best Connected [J]. IEEE Transactions on Wireless Communications,2003,10(1):49-55.
    [2]ZHAO Yan Qing,ZHU Qi.New Q-learning based heterogeneous network selection algorithm[J]. Journal of Computer Applications,2011,31(6):1461-1464,1479.
    [3]Eng Hwee Ong,Jamil Y.Khan.On Optimal Network Selection in a Dynamic Multi-RAT Environment[J]. IEEE communications letters,2010,14(3):217-219.
    [4]Amit Sehgal,Rajeev Agrawal.QoS Based Network Selection Scheme for 4G Systems[J]. IEEE Transactions on Consumer Electronics,2010,56(2):560-565.
    [5]ZENG Xu-bin,YUAN Ling,KONG Bo-wen.Network selection for wireless heterogeneousnetworks [J]. Journal of Computer Applications,2011,31(7): 1966-1969.
    [6]XU Peng, FANG xu-ming, XIANG Zheng, et al.A Novel Game Model Heterogeneous Network Selection [J]. Telecommunication Engineering,2011, 51(2):27-33.
    [7]Ramona Trestian, Olga Ormond, Gabriel-Miro Muntean.Power-Friendly Access Network Selection Strategy for Heterogeneous Wireless Multimedia Networks [C]. Proceedings of Broadband Multimedia Systems and Broadcasting,2010,1-5.
    [8]Wei Shen,Qing-An Zeng.Cost-Function-Based Network Selection Strategy in Integrated Wireless and Mobile Networks [J]. IEEE transactions on vehicular technology,2008,57(6):3778-3788.
    [9]Sun Y, Sun WW S. An Algorithm of Heterogeneous Wireless Network Selection Based on Services [J]. Journal of China Academy of Electronics and Information Technology,2009,4(4):337-341.
    [10]Song Q Y, Jamalipour.A Network Selection in an Integrated Wireless LAN and UMTS Environment Using Mathematical Modeling and Computing Techniques [J]. IEEE Transactions on Wireless Communications,2005,12(3):42-48.
    [11]Lahby M, Leghris C, Adib A. A Hybrid Approach for Network Selection in Heterogeneous Multi-Access Environments [C]. Proceedings of the 4th International Conference on New Technologies, Mobility and Security. Paris, France,2011:1-5.
    [12]GuChen,SONGMei,ZHANG Yong, et al.Modeling and Analysis for Universal Multiple Access Network Selection [J]. Journal of Beijing Unversity of Posts and Telecommunications,2009,32(4):128-132.
    [13]WANG Ya-nan, FENGchunyan, XIAHai-lun.A Network Selection Strategy Based on Dynamic Gray Multi-attribute Decision Making in Heterogeneous Networks. Journal of Wireless Enginer [J],2009,39(11):1-3.
    [14]Niyato D, Hossain E. Dynamics of Network Selection in Heterogeneous Wireless Networks:An Evolutionary Game Approach [J]. IEEE Transactions on Vehicular Technology,2009,58(4):2008-2017.
    [15]Chen Q B, Zhou W G, Chai R, et al. Game-Theoretic Approach for Pricing Strategy and Network Selection in Heterogeneous Wireless Networks [J]. IET Communications,2011,5(5):676-682.
    [16]J-W.Yoo,K.H.Park.A Cooperative Clustering Protocol for Energy Saving of Mobile Devices with WLAN and Bluetooth Interfaces [J]. IEEE Trans.Mobile Computing,2011,10(4):491-504.
    [17]Ramona Trestian, OlgaOrmond, Gabriel-MiroMuntean. Game Theory-Based Network Selection:Solutions and Challenges [J]. IEEE Communications surverys&tutorials,2012,14(4):1212-1231.
    [18]Saaty T L. Fundamentals of Decision Making and Priority Theory with the Analytic Hierarchy Process [M]. Pittsburgh:RWS Publications,2000:23-46.
    [19]XiaWei-wei,ShenLian-feng.A network selection algorithm based on fuzzy neural network for heterogeneous networks [J]. Journal of southeast university,2010, 40(4):663-669.
    [20]蔡文,可拓集合和不相容问题[J].科学探索学报,1983,(1):83-97.
    [21]蔡文,物元模型及其应用[M].北京:科学技术文献出版社,1994.
    [22]蔡文,可拓论及其应用[J].科学通报,1999,44(7):673-682.
    [23]蔡文,杨春燕,何斌.可拓逻辑初步[M].北京:科学出版社,2003.
    [24]杨春燕,蔡文.可拓工程[M].北京:科学出版社,2007.
    [25]Zhang H, Xu X D, Tao X F, et al. Fast Cell Selection Algorithm Based on Extension Theory and Fuzzy AHP [J]. Journal of Electronics and Information Technology,2009,31(11):2697-2702.
    [26]3GPP TS 23.107,Quality of Service(QoS) Concept and Architecture [S].
    [29]G.Hardin,The tragedy of the commons,science,1968.
    [1]M. R. Kumar, et al.4G-Fourth Generation Wireless Systems Requirements and Technical Challenges [J]. Journal of Theoretical and Applied Information Technology,2011,31(1):29-35.
    [2]李军.异构无线网络融合理论与技术实现[M].北京:电子工业出版社,2009.
    [3]孙雷.异构无线环境中联合无线资源管理关键技术研究[D].北京邮电大学,2011.
    [4]A.H.Zahran, B.Liang, A.Saleh. Signal Thresholds Adaptation for Vertical Handoff in Heterogeneous Wireless Networks, Mobile Networks and Application [J]. Journal of Springer Netherlands,2006,11(4):625-640.
    [5]B.J.Chang, J.F.Chen. Cross-Layer-Based Adaptive Vertical Handoff with Predictive RSS in Heterogeneous Wireless Networks [J]. IEEE Transactions on Vehicular Technology,2008,57(6):3679-3691.
    [6]S. Kunarak, R. Suleesathira. Predictive RSS with Fuzzy Logic Based Vertical Handoff Algorithm in Heterogeneous Wireless Networks. Proceedings of International Symposium on Communications and Information Technologies (ISCIT), Tokyo, Japan, October,2010:1235-1240.
    [7]Sayandev, Mukherjee. Distribution of Downlink SINR in Heterogeneous Cellular Networks [J]. IEEE Journal on Selected Areas in Communications,2012,30(3): 575-585.
    [8]Han-Shin Jo, Young Jin Sang, Ping Xia, Jeffery G. Heterogeneous Cellular Networks with Flexible Cell Association:A Comprehensive Downlink SINR Analysis [J]. IEEE Transactions on Wireless Communications,2012,11(10): 3484-3495.
    [9]K.Yang, I.Gondal, B.Qiu. Combined SINR based Vertical Handoff Algorithm for Next Generation Heterogeneous Wireless Networks. Proceedings of IEEE Global Telecommunications (GLOBECOM), Washington, DC, USA, March 15,2007: 4483-4487.
    [10]K.Yang, I.Gondal, B.Qiu. Multi-Dimensional Adaptive SINR based Vertical Handoff for Heterogeneous Wireless Networks [J]. IEEE Communications Letters, 2008,12(6):438-440.
    [11]Liu Sheng-mei, Meng Qing-min,Pan Su,Mi Zheng-kun. A Simple Additive Weighting Vertical Handoff Algorithm Based on SINR and AHP for Heterogeneous Wireless Networks [J]. Journal of Electronics & Information Technology,2011,33(1):235-239.
    [12]G.A.El-Fadeel, A.E.El-Sawy, M.J. Adib. Vertical Handoff in Heterogeneous Wireless Networks with Predictive SINR using GM (1,1). Proceedings of National Radio Science, Faculty of Engineering/Cairo University (Egypt), April 10-12, 2012:175-184.
    [13]Lab/UFR-PHE. A Theoretical Prediction of Users in WCDMA Interference [J]. Journal of Theoretical and Applied Information Technology,2012, 35(2):163-168.
    [14]Kang Ya-bo, Xu Kun, Shen Yu-long, Ma Jian-feng. Predictive Algorithm of Handoff in Heterogeneous Wireless Networks [J]. Journal on Communication, 2009,30(10A):63-67.
    [15]Jorge Martinez-bauset, Jose Manuel Gimenez-guzman,Vicent Pla. Optimal Admission Control in Multimedia Mobile Networks with Handover Prediction[J]. IEEE Wireless Communications,2008,15(5):38-44.
    [16]陈华友.组合预测方法有效性理论及其应用[M].北京:科学出版社,2008.
    [17]罗建科.神经网络与组合预测在高速公路路面管理系统的应用研究[D].西南交通大学,2011.
    [18]吉敏.支持向量回归机在组合预测中的应用研究[D].东华大学,2011.
    [19]J.M.Bates, C.W.Granger. The Combination of Forecasts [J]. Journal of Operational Research Quarterly,1969,20(4):451-468.
    [20]刘思峰,党耀国,方志耕.灰色系统理论及其应用[M].北京:科学出版社,2010.
    [21]E.Kayacan, B.Ulutas, O.Kaynak. Gray System Theory-based Models in Time Series Prediction [J]. Journal of Expert System with Application,2010,37(2): 1784-1789.
    [22]T. Hagan, B.Demuth, H.Beale. Neural Network Design, Thomson Learning, USA, 2002.
    [23]S. Toumpis, A.J. Goldsmith. Capacity Regions for Wireless Ad hoc Network [J]. IEEE Transactions on Wireless Communications,2003,2(4):736-748.
    [24]H. Holma,A. Toskala. WCDMA for UMTS, John Wiley, New York,2004.
    [25]Radio frequency (RF) system scenarios (Release 7),3GPP TR 25.942 V7.0.0, March,2007.
    [26]W.Shen, Q.A. Zeng. A novel Decision Strategy of Vertical Handoff in Overlay Wireless Networks. Proceedings of IEEE International Symposium on Network Computing and Application, Cambridge (UK), July 24-26,2006:227-230.
    [27]J. Wang, H.Katz, J.Giese. Policy-Enabled Handoffs across Heterogeneous Wireless Network. Proceedings of Mobile Computing Systems and Applications, New Orleans,1999:51-60.
    [1]V.A. de Sousa Jr., R.A. de O. Neto, F. de S. Chaves, L.S. Cardoso, J.F. Pimentel, F.R.P. Cavalcanti. Performance of Access Selection Strategies in Cooperative Wireless Networks Using Genetic Algorithms [C]. Proceedings of the 15th World Wireless Research Forum Meeting (WWRF'15), December 8-9, Paris, France, 2005.
    [2]J.Perez-Romero, O.Sallent, D.Puiz, R.Agusti. An Admission Control Algonthm to Manage High Bit Rate Statie Users in W-CDMA Systems [C]. In 13th IST Motile&Wireless Communications Summit, September 2004.
    [3]K. Murray, R. Mathur, D. Pesch. Network Access and Handover Control in Heterogeneous Wireless Networks for Smart Space Environments [C]. First International Workshop on Management of Ubiquitous Communications and Services, MUCS, Waterford, Ireland, December 11,2003.
    [4]E.S.Navarro, V.Wong, Y. Lin. A Vertical Handoff Decision Algorithm for Heterogeneous Wireless Networks [C]. Wireless Communications and Networking Conference, WCNC 2007:3199-3204.
    [5]D. Karabudak, C. Hung, B. Bing. A Call Admission Control Scheme Using Genetic Algorithms [C]. Symposium on Applied Computing, SAC04, Nicosia, Cyprus, March 14-17,2004.
    [6]Joint Call Admission Control Algorithms:Requirements, Approaches, and Design Considerations Computer Communications [J]. Advanced Location-Based Services,2008,31(6):1200-1217.
    [7]Bing Hong-yan, Joint Resource Management for Heterogeneous Wireless Communication Networks [D]. Shanghai Jiao Tong University,2008
    [8]毛旭春,潘甦.基于半马尔可夫链的WLAN/WCDMA联合呼叫接入控制[J].中国电子科学研究院学报,2010,5(1):69-73.
    [9]Wang Ya-nan, Xia Hai-lun, Feng Chun-yan. Joint Call Admission Control Algorithms for Multimedia Services in Heterogeneous Wireless Networks [J]. Journal of Xidian University 2010,37(5):954-959.
    [10]A. Tolli, P. Hakalin. Adaptive Load Balancing Between Multiple Cell Layers, VTC 2002-Fall [J].IEEE 2002,56(3):1691-1695.
    [11]K.H. Suleiman, H.A. Chan, M.E. Dlodlo. Load Balancing in the Call Admission Control of Heterogeneous Wireless Networks[C]. International Conference On Communications And Mobile Computing (IWCMC'06),2006:245-250.
    [12]A. Pillekeit, F. Derakhshan, E. Jugl, A Mitschele-Thiel. Force-based Load Balancing in Co-located UMTS/GSM networks [J].2004,60(6):4402-4406.
    [13]Rong Lian, Hui Tian, Wen Chao-fei, Jie Miao,CanruWang. Qos-Aware Load Balancing Algorithm for Joint Group Call Admission Control in Heterogeneous Networks [J]. Beijing University of Posts and Telecommunications, Beijing, P.R. China,100876.
    [14]陈明欣,朱光喜,刘干.异构无线网络中基于效用的呼叫接纳控制及流量均衡策略[J].计算机科学,2008,35(9):45-47.
    [15]Ben-Jye Chang, Ying-HsinLiang, Po-Yen Chang, Chine-Ta Chen. Cost-based CAC with Media Independent Handover for Wireless Heterogeneous Networks[C]. World Telecommunications Congress (WTC),2012,1-6.
    [16]O. Ormond, J. Murphy, G. Muntean. Utility-based Intelligent Network Selection in Beyond 3G Systems [C]. IEEE International Conference on Communications (ICC 2006), Istanbul, Turkey, June 11-15.
    [17]S.Kokial,R.Shankar,P.Dananjayan. Performance Analysis of Dual Threshold Call Admission Control in 3G/WLAN Coupled Network [C]. IEEE International Conference on Advances in Engineering, Science and Management,2012: 404-409.
    [18]刘畅.异构无线网络中资源管理关键技术研究[D].北京交通大学,2012.
    [19]Yu Xue-yong, Zhu Hong-bo. Novel Call Admission Control Algorithm for Heterogeneous wireless networks [J]. Application Research of Computer,2012, 29(6):2321-2328.
    [20]Song HeeKim, Hae Bum Jung,Duk Kyung Kim. A Ring-based Performance Analysis for a Call Admission Control in an LTE/WIFI Heterogeneous Networks [J]. Asia-Pacific Conference on Communications,2011,2(5):84-89.
    [21]P.M.L. Chan, R.E. Sheriff, Y.F. Hu, P. Conforto, C. Tocci Mobility Management Incorporating Fuzzy Logic for a Heterogeneous IP Environment [J]. IEEE Communications Magazine,2001,39(12):42-51.
    [22]R. Agusti, O. Sallent, J. Perez-Romero, L. Giupponi. A Fuzzy-neural Based Approach for Joint Radio Resource Management in a Beyond 3G Framework. 1st International Conference on Quality of Service in Heterogeneous Wired/Wireless Networks (Qshine'04), Dallas, USA, October,2004.
    [23]W. Zhang. Handover Decision Using Fuzzy MADM in Heterogeneous Networks [C]. Proceedings of IEEE WCNC'04, Atlanta, GA, March,2004.
    [24]Yung-Han Chen, Chung-Ju Chang, Ching Yao Huang, Fuzzy Q-Learning Admission Control for WCDMA/WLAN Heterogeneous Networks with Multimedia Traffic [J]. IEEE transactions on mobile computing,2009,8(11): 1469-1479.
    [25]Sha Sha. Performance Mobiling and Analysis of Dynamic Class-Based Call Admission Control Algorithm using Fuzzy Logic for Heterogeneous Wireless Networks [J]. IEEE computer society,2011:1795-1800.
    [26]J.P. Romero et al. Radio Resource Management Strategies in UMTS, Wiley,2005.
    [27]J.D. Chimeh, M. Hakkak, S. A. Alavian. Internet Traffic and Capacity Evaluation in UMTS Downlink. Proceedings of Future Generation Communication and Networking[C], Ramada Plaza Jeju, Jeju-Island, Korea, December 6-8,2007.
    [28]R. Skehill, M. Barry, W. Kent, et al. The Common RRM Approach to Admission Control for Converged Heterogeneous Wireless Networks. IEEE Wireless Communications,2007,14(2),48-56.
    [29]H. Wu, Y. Long, et al. Performance of reliable transport protocol over IEEE 802.11 Wireless LAN:analysis and enhancement[C]. Proc IEEE INFOCOM. 2004,175-179.
    [30]O. TICKOO, B. SIKDAR. A Queueing Model for Finite Load IEEE 802.11 Random Access MAC [C]. Proceedings of IEEE ICC.2004.175-179.
    [31]X.CAI L, X.SHEN, J.W. MARK, et al. Voice Capacity Analysis of WLAN with Unbalanced Traffic [J]. IEEE Trans Veh Technol,2006,55(3):752-761.
    [32]王映民,孙韶辉TD-LTE技术原理与系统设计[M].人民邮电出版社,2010.
    [33]Panayiotis Kolios, Vasilis Friderikos, Katerina Papadaki. Future Wireless Mobile Networks [J]. IEEE Vehicular Technology Magazine,2011,24-30.
    [34]M.L.Puterman, Ed, Markov Decision Processes:Discrete Stochastic Dynamic Programming. John Wiley&sons,2000.
    [35]Y.Fang, I. Chlamtac, Y-B. Lin. Channel Occupancy Times and Handoff Rate for Moblie Computing and PCS Networks [J]. IEEE Trans. Computing,1998,47: 679-692.
    [36]Kluwer.C.G. Cassandras and S. Laortune. Introduction to Discrete Event Systems.1999.
    [1]Ekram H. Heterogeneous Wireless Access Networks:Architectures and Protocols [M], Springer,2008.
    [2]L. Ma and D. Jia, The Competition and Cooperation of WiMAX, WLAN and 3G [C]. IEEE International on Mobile Technology, Applications and Syst.2005.
    [3]D. Niyato, K.Hossain. Competitive Pricing in Heterogeneous Wireless Access Networks:Issues and Approaches [J]. IEEE Network,2008,22(6):4-11.
    [4]弗登伯格,梯若尔著,黄涛、郭凯等译.博弈论[M].人民大学出版社,2010.
    [5]涂志勇.博弈论[M].北京大学出版社,2009.
    [6]D. Niyato, E. Hossain. Radio Resource Management Games in Wireless Networks: An Approach to Bandwidth Allocation and Admission Control for Polling Service in IEEE 802.16 [J]. Wireless Communications,2007,14 (1):27-35.
    [7]T. Alpcan, T. Basar. A Game-Theoretic Framework for Congestion Control in General Topology Networks [C]. IEEE Conference on Decision and Control [C]. 2002,2:1218-1224.
    [8]J.F. Lee, W. Liao and M.C Chen. An Incentive-based Fairness Mechanism for Multi-hop Wireless Backhaul Networks with Selfish Nodes [J]. IEEE Transactions on Wireless Communications,2008,7(2):697-704.
    [9]王嫚,徐惠民.一种基于市场竞拍机制的网格资源管理分配方法[J].计算机应用研究,2005,(5):84-86,114.
    [10]W. Zhang. Bearer Service Allocation and Pricing in Heterogeneous Wireless Networks. IEEE Conference on Communincation [C].2005,2:1367-71.
    [11]O. Salient. Resource Auctioning Mechanisms in Heterogeneous Wireless Access Networks [C]. IEEE Conference on Vehiche Technique.2006,1:52-56.
    [12]H. Pervaiz, J. Bigham, Game Theoretical Formulation of Network Selection in Competing Wireless Networks:An Analytic Hierarchy Process Model [C]. International Conference on Next Generation Mobile Applications, Services and Technologies.2009.
    [13]V. Gajic, J.W. Huang and B. Rimoldi. Competition of Wireless Providers for Atomic Users:Equilibrium and Social Optimality [C].47th Annual Allerton Conference on Communication, Control and Computing.2009,1203-1210.
    [14]V. Gajic, J.W. Huang and B. Rimoldi. Competition of Wireless Providers for Atomic Users [J]. IEEE Transaction on Networking.2013,1-14.
    [15]H. Chan, P. Fan and Z. Cao. A Utility-Based Network Selection Scheme for Multiple Services in Heterogeneous Networks [C]. Conference on Wireless Commun and Mobile Computing,2005,2:1175-80.
    [16]陈前斌,周伟光,柴蓉等.基于博弈论的异构融合网络接入选择方法研究[J].计算机学报,2010,33(9):1643-1652.
    [17]D. Niyato, E. Hossain. A Cooperative Game Framework for Bandwidth Allocation in 4G Heterogeneous Wireless Networks [C]. IEEE Conference on Communications Society,2006,4357-4361.
    [18]N. Singh, X. Vives. Price and Quantity Competition in a Differentiated Duopoly [J]. RAND J. of Economics,1984,15(4):546-554.
    [19]D. Niyato, E. Hossain. Competitive Pricing for Spectrum Sharing in Cognitive Radio Networks:Dynamic game, Inefficiency of Nash Equilibrium, and Collusion [J]. IEEE Journal on Selected Areas in Communications,2008,26(1): 192-202.
    [20]M. Zekri, B. Jouaber and D. Zeghlache. On the Use of Network QoS Reputation for Vertical Handover Decision Making [C]. IEEE Globecom Workshop on Advances in Communications and Networks,2010,2006-2011.
    [21]C. U. Saraydar, N. B. Mandayam and D.J Goodman. Efficient Power Control via Pricing in Wireless Data Network [J]. IEEE Transactions on Communications, 2002,50(2):291-303.
    [22]熊义杰.现代博弈论基础[M].国防工业出版社,2010.
    [23]L. S. Shapley. A value for N-Person game [J]. Annals of Mathematics Studies, 1953,2:307-317.
    [24]M. J. Osborne. An Introduction to Game Theory [M]. Cambridge, USA, MIT Press,1991.
    [25]D. Fudenberg, J. Tirole. Game Theory. Cambridge, MA, USA:MIT Press, 1991.
    [26]A. Rad, J. Huang and M. Chiang. Utility-Optimal Random Access Without Message Passing. EEE Transaction on Wireless Communication,2009,8(3): 1073-1079.
    [27]J. B. Rosen. Existence and Uniqueness of Equilibrium Points for Concave N-person games [J]. Econometrica,1965,33(3):520-534.
    [28]D. P. Bertsekas, Nonlinear Programming. Belmont, MA, USA:Athena Scientific, Sept.1999.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700