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一类闭环供应链回收渠道的博弈模型及应用研究
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摘要
市场经济的快速发展迫使制造商不断推陈出新,人们对产品的个性化需求也在不断地增长,从而使得产品的生命周期越来越短,产品更新换代速度也越来越快,大量产品在使用寿命未终结时便遭淘汰,这造成资源的极大浪费,同时也给人们生存的环境和生活带来了巨大危害。因此,资源—产品—废旧产品—再制造产品的闭环式经济增长模式应运而生,这一模式大大增加了资源再利用,降低了企业运营成本,符合经济发展与资源利用、环境保护相协调的可持续发展战略目标。
     本文在对闭环供应链回收渠道和定价策略等文献综述研究基础上,以博弈论和混沌动力学理论、复杂性理论为支撑,构建了废旧品的回收预测模型,研究了闭环供应链企业间的回收管理,利用Matlab进行数值模拟,分析了其复杂动态的演化过程。本论文的主要内容和创新点如下:
     (1)拓展了关于闭环供应链的回收渠道和企业间协调的研究方法。文献中关于闭环供应链的研究大多采用博弈理论的方法,本文综合运用了混沌动力学理论、复杂性理论和博弈理论的复合理论方法。
     (2)丰富了研究内容,构建了三种不同回收渠道的数学模型。以往的研究多以一个制造商和一个零售商为主,零售商回收的回收模式,本文构建的三种回收模型为:竞争的制造商回收管理模型;制造商和竞争的回收商间合作竞争的管理模型;新产品和再造品差别定价的协调管理模型。
     (3)针对不同方式的回收渠道模型,引入废旧品回收价格调整参数和再造品的销售价格调整参数,通过数值模拟对价格调整速度变动引起的价格混沌等复杂动力学行为进行了研究。研究表明了企业对回收价格和销售价格调整系数大小影响着市场的反应,调整速度越快,市场越早进入混沌状态。研究结论指导企业可以确定每一时刻的最佳回收价格,并且适应性地调整,以便获得最大化收益以及更好的满足市场需求。
     (4)针对不同方式回收渠道模型,建立了基于分散决策下的纳什均衡和斯坦科尔伯格博弈模型,集中控制下的联合决策模型,对模型进行稳定性和复杂性分析,得出不同模型中回收价格和销售价格的变化趋势以及模型中主要参数对系统的影响。
The rapid development of market economy forcing manufacturer continues tointroduce new products. With the continuous growth of individual demand of people,the products life cycle become more and more short. And the renewal speed ofproducts becomes more and more quickly, vast products have been out which still nothave not been to life end, which creates a tremendous waste of resources, also bringsgreat harm for people living environment and life. Therefore, the closed-loopeconomic growth mode of resources-products-waste products-remanufacturingproducts appears which increases resource recycling and reduces enterprise costs.The mode meets the strategic objective of sustainable development which realizes thecoordination among economic development and utilization of resources,environmental protection.
     In this paper, based on the research literature review about the closed-loop supplychain recovery channels and pricing strategy etc, by using the game theory and thechaotic dynamics theory, complexity theory for support, it constructs prediction modelof the recovery waste products, and studies the recycling management of enterprisesin the closed-loop supply chain. Through Numerical simulation by Matlab, it analyzesthe complex dynamic evolution process. The main content and innovation points ofthis paper are as follows.
     (1) It extends the research methods about recycling channel and enterprisescoordination of the closed-loop supply chain. The research method of literature aboutclosed-loop supply chain is mostly game theory. The chaos dynamics theory,complexity theory and the game theory are comprehensive applied in this paper.
     (2) Enrich the research content. It constructs three kind of mathematics modeaccording to different recycling channel. Previous studies are mainly retailersrecycling mode in the close-loop supply chain which included a manufacturer and aretailer. This paper constructs three models as follows. Firstly, competition recyclingcoordination model which includes two equal manufacturers. Secondly, cooperative aswell as competitive coordination model which includes a manufacturer and tworecovery businesses (upstream-downstream enterprise). Lastly, differential pricinggame model which includes a manufacturer and a retailer.
     (3) According to the different channels, it introduces adjustment parameters of usedproducts recycling price and remanufacturing products sale price. Through numericalsimulation, it researches complex dynamics behavior of chaos system which causedby changes of price adjustment speed. The faster the adjustment is, the earlier intochaos state. These conclusions provide decision basis of determining the optimalpricing in every stage for manufacturers to realizing revenue maximization.
     (4) According to the different channels, it constructs Nash equilibrium andStackelberg game model based on the decentralized control decisions, andcollaboration decision model based on the decentralized control. It analyzes onstability and complexity and the influence of main parameters of the models, anddraws change trend of recycling price and sale price in different model.
引文
[1]娄性义,杨平,彭昊,王希勤,循环经济与资源综合利用[J].中国环保产业,2003,(4):18-19.)
    [2]叶立青.循环经济—社会可持续发展的新趋势[J].生态经济,2003,(10):62-63.
    [3] Wendy, K., Chris,R., Eco-efficiency gains from remanufacturing: A case study ofphotocopier remanufacturing at Fuji Xerox Australia[J].Journal of CleanerProduction,2001,(9):75-81.
    [4] McIntosh, M.W., Bras, B., Product, process and organizational design forremanufacturing-An overview of research [J].International Journal of Roboticsand Computer Integrated Manufacturing-Special Issue on Remanufacturing,1999.
    [4]陈秋双等.现代物流系统概论[M].北京:中国水利水电出版社,2005.
    [5][美]迈克·波特.竞争优势[M].北京:华夏出版社,1997.
    [6] Kraljic Peter.Purchasing must become supply management[J].Harvard BusinessReview,1983,(5):109-117.
    [7]马士华,林勇.供应链管理[M].北京:机械工业出版社,2007.8
    [8] Stock J R. Reverse Logistics [M]. IL: Council of Logistics Management,1992.
    [9] Fleischmann, M., J. M. Bloemhof-Ruwaard, R. Dekker, E. van derLaan, J. A. E. E.van Nunen, L. N. Van Wassenhove.1997. Quantitative models for reverselogistics: A review. Eur. J. Oper.Res.103:1-17.
    [10] Guide, D., V. Jayraman, R. Srivastava, W. C. Benton.2000. Supply chainmanagement for recoverable manufacturing systems. Interfaces30(3):125-142.
    [11] Guide Jr.V.D.R.,Jayarman V.,linton J.D. Building contingence planning forclosed-loop supply chains with product recovery[J]. Journal of operationsmanagement2003.
    [12] Krikke,H.,Bloemhof-Ruwaard,J.,Van Wassenhove,L.N.,Design of closed loopsupply chains: a production and return network for refrigerators. WorkingPaper.2003, INSEAD. Retrieved April28,2004from http://www.insead.edu.
    [13] Fleischmann, M., Reverse Logistics Network Structures and Design[R].2001.
    [14] Krikke,H.,Pappis,C.P.,Tsoulfas,G.T.,Bloemhof-Ruwaard,J.,Design principles forClosed Loop Supply chains: Optimizing Economic Logistics and EnvironmentalPerformance. Working Paper.2001, INSEAD. Retrieved April28,2004fromhttp://www.insead.edu.
    [15] Geyer R., Jackson T., Supply loops and their constraints: The industrial ecologyof recycling and reuse[J].California Management Review,2004,46(2):55-73.
    [16] Toktay L B,Wein M,Zenios S A.Inventory management of remanufacturableproducts[J].ManagementScience,2000,46(11):1412~1426.
    [17] Kiesmueller G P, van der Laan E A. An inventorymode with dependent productdemands and returns[J]. International Journal of ProductionEconomics,2001,72(1):73~87.
    [18] Minner S. Strategic safety stocks in reverse logisticssupply chains[J].International Journal of Production Economics,2001,71(3):417~428.
    [19]黄祖庆,达庆利.基于逆向物流定期和定量处理的最优库存控制策略研究[J].东南大学学报(自然科学版),2005,35(2):302~307.
    [20] McGuire T.,Staelin R.. An industry equilibrium analysis of downstream verticalintegration[J]. Marketing Scince,1983(2):161-192.
    [21] Jayaraman V,Guide J V,Srivastava R. A closed loop logistics model forremanufacturing Journal of the operational research society,1999,Vol.50:497-508.
    [22] Guide V D R, Wassenhove V. Managing product returns for remanufacturing,Wording paper,2000/75/TM,INSEAD, Fontainblau,France.
    [23] Morrell A.L.. The forgotten child of the supply chain. Modern materials handing,2001,(5):33-36.
    [24] Meade L., Sarkis J..A conceptual model for selecting and evaluating third-partyreverse logistics providers. Supply chain management,2002,Vol.7(5):283-295.
    [25] Spicer A. J., Johnson M.R..Third-party remanufacturing as solution for extendedproducer responsibility, Journal of cleaner production,2004,(12):37-45.
    [26] Shih L H. Reverse logistics system planning for recycling electrical appliancesand computers in Taiwan. Resources, Conservation and Recycling,2001,(32)55-72.
    [27] Michael E.K., Souza G.C., V Daniel R.Guide Jr.. Mixed Assembly AndDisassembly Operations For Remanufacturing[J].Production and OperationsManagement; Fall2003.12(3):320-325.
    [28] Savaskan R.C., Bhattacharya S., Van Wassenhove L.N. Channel Choice andCoordination in a Remanufacturing Environment.[R].INSEAD.2000.WorkingPaper.
    [29] Savaskan R.C., Shantanu B, Luk N V W. Closed-loop supply chain models withproduct remanufacturing [J]. Management science,2004,50(2):239-252.
    [30] Savaskan R.C., L.N.Van Wassenhove. Reverse Channel Design: The Case ofCompeting Retailers[J].Management Science.2006.52(1):1–14.
    [31] Romment D., Moritz F., Karl I.. Reverse logistics: Quantitative models forclosed-loop chains [M]. Berlin:Springer,2004.
    [32]顾巧论,高铁杠,石连栓.基于博弈论的逆向供应链定价策略分析[J].系统工程理论与实践,2005(3):20-25.
    [33] Karakayali I., H.Emir-Farinas and E.Akcali. An analysis of decentralizedcollection and processing of end-of-life products[J].Journal of OperationsManagement.2007(25):1161–1183.
    [34]王玉燕,李帮义,乐菲菲.两个闭环供应链的定价模型研究[J].预测,2006,25(6):70-73.
    [35]肖迪,黄培清.基于不对称信息的闭环供应链激励机制[J].工业工程与管理.2007(4):11-14.
    [36]葛静燕,黄培清,李娟.社会环保意识和闭环供应链定价策略——基于纵向差异模型的研究[J].工业工程与管理.2007(4):6-10.
    [37]晏妮娜,黄小原,徐家旺.具有产品再制造的闭环供应链动态运作模型[J].工业工程与管理.2007(5):37-42.
    [38]韩小花,薛声家.强零售商的竞争型闭环供应链回收渠道的决策[J].计算机集成制造系统,2009,15(11):2247-2253.
    [39] Thierry M.C., Salomon M., Van Nunen J., Van Wassenhove L.. Strategic issuesin product recovery management [J]. California Management Review,1995,37(2):114~135.
    [40] Lee E., Staelin R.. Vertical strategic interaction: implications for channel pricing[J]. Marketing Science,1997,(16):185-207.
    [41] Bulow J.. An economic theory of planned obsolescence [J]. Quarterly Journal ofEconomics,1986,20:729~749.
    [42] Majumder P., Groenevelt H.. Competition in remanufacturing[J]. ProductionOperation Management,2001,10(2):125~141.
    [43] Fleischmann M., Van Nunen Jo A. E. E., Grave B.. Integrating closed-loopsupply chains and spare parts management at IBM[J]. Interfaces,2003,33(6):44-56.
    [44] Thomas S, Marcus S. Strategic management ofspare parts in closed-loop supplychains-a system dynamics approach[J]. Interfaces,2003,33(6):7-17.
    [45] Zhu Q.H, Srakis J., Lai K. H.. Green supply chain management: pressures,practices and performance within the Chinese automobile industry [J]. Journal ofCleaner Production,2007,15:1041~1052.
    [46] Zhu Q H, Srakis J, Lai K H. Green supply chain management implications for"closing the loop"[J].Transportation Research Part E,2008,44:1~18.
    [47]姚卫新.电子商务环境下闭环供应链的原子模型研究[J].管理科学,2003,16(1):65-68.
    [48]姚卫新.再制造条件下逆向物流回收模式的研究[J].管理科学,2004,17(1):76-79.
    [49]张维迎.博弈论与信息经济学[M].上海:上海人民出版社,2003,4.
    [50]张维迎,乔根.w.威布尔.演化博弈论[M].上海:上海人民出版社,2006.
    [51]高鸿业.西方经济学[M].北京:中国人民大学出版社,2011,2.
    [52]杨华.闭环供应链的契约协调机制研究[D].吉林大学博士学位论文,2009.6:31-32.
    [53]张国有.企业深层竞争是博弈管理[J].山东社会科学,2001,(1):55-56.
    [54]谢识予.经济博弈论[M].上海:复旦大学出版社,1997.
    [55]罗伯特.吉本斯.博弈论基础[M].北京:中国社会科学出版社,1999.
    [56]王文举等.博弈论应用与经济学发展[M].北京:首都经济贸易大学出版社,2003,5.
    [57] Li T. Y., Yorke J.A. Period three implies chaos, Amer. Math. Monthly,1975(82):985-992.
    [58] Devaney R L. An Introduction to Chaotic Dynamical Systems [M].2nd ed.NY:Addison-Wesley Press,1989:48-50.
    [59] Poincaree H. J New Methods of Celestial Mechanics. In: Goroff D., eds.American Institute of Physics. New York,1993.27-41.
    [60] Moser J. K. On invariant curves of area preserving mappings of an annulus,Nachr. Akad. Wiss. Gottubgeb Ⅱ, Math. Physics. KL.1962,(10):1-20.
    [61] Arnold V. L. Mathematical Methods of Classical Mechanics, Pringer-Verlag,New York, Heidelberg, Berlin,1978.28-35.
    [62] Arnold V.L., Instability of dynamical systems with several degrees of freedom,Soviet Mathematics Doklady,1964,5:342-355.
    [63] H.舒斯特著.朱雄,林桂年译,混沌学引论.成都:四川教育出版社,1994.
    [64] May R M, Simple mathematical models with very complicated dynamics, Nature,1976,261(560):459-467.
    [65] Feifenbaum M J, Quantitative universality for a class of nonlinear transformation,J Stat Phys,1978,(19):25-52.
    [66] Marotto F. R, Perturbations of stable and chaotic difference equation, J. Math,Anal. Appl,1979,72:716-729.
    [67]路应金.集成供应链管理系统动态演化的复杂性研究.电子科技大学博士学位论文,2004.3:56-57.
    [68]王东升,曹磊.混沌分形及其应用.台肥:中国科技大学出版社,1995.
    [69] Takens E. Detection Strange Attractors in Turbulence. Lecture Notes inMathematics, Spriger-Verlag,New York,1980,898:366-381.
    [70] Hao B L. Elementary Symbolic Dynamics and Chaos in DissipativeSystem.World Scientific,Singapore,1989.
    [71] Wolf J B,Swift H,Swinney H L,Vastano J A,Determining Lyapunov exponentfrom a time series [J]. Physica,1985, D(16):285.
    [72] Principle J C.Neural networks for dynamic modeling[J].IEEE Signal ProcessingMagazine,1997,(3):33-34.
    [73] Andreyev Y V,Belsky Y L,Dmitriev A S,Kuminov D A.Informationprocessing using dynamical chaos: neural networks implementation[J1.IEEETrans on neural networks,1996,7(2):290299
    [74] Saad E W,Prokhorov D V,Wunsch D C.Cornparative Study Of Stock trendprediction using time delay,recurrent and probabilistic neural networks[J].IEEETrans on neural networks,1998,9(6):1456.1469
    [75] Farmer J D,Sidorowich JJ.Predicting chaotic time series [J].Phys.Rev,Lett.1987,(59):845
    [76] Farmer J D,Sidorowich J J.Exploiting chaos to predict the future and reducenoise [J]. Preprint,Los Alamos,1988.
    [77] Ott E,Grebogi C,Yorke J A.Controlling Chaos[J].Physical Review Letters,1990,64(11):1196-1199.
    [78] Ditto W L, Ranseo S N, Spare M L. Experimental Control of Chaos [J]. Phys.Rev.Lett.1990,(65):3211-3214.
    [79]姚洪兴.混沌经济系统的复杂性及非线性方法的研究.东南大学博士学位论文,2001.6.
    [80] Oseledec V L. A Multiplicative Ergodic Theorem Lyapunov CharacteristicNumbers for Dynamical Systems [J]. Transaction of the Moscow MathematicalSociety,1968,19:197—231.
    [81]洪时中.混沌信号处理讲义.成都:电子科技大学,2004.
    [82] Lorenz E N. Deterministic nonperiodic flow [J]. Atoms,1963, Sci:20.
    [83] Stewart Lan. Mathematics: the Lorenz attractor exists, Nature,2000,406:948-949.
    [84]洛伦兹著,刘式达,刘式适,严中伟译.混沌的本质[M].北京:气象出版社,1997.1.
    [85]刘孝贤,王兴元.经济混沌的判断及经济混沌研究前景[J].山东工业大学学报,1996,26(2):138-144.
    [86]刘宗华.混沌动力学基础及其应用[M].北京:高等教育出版社,2006,11.
    [87]罗利军,李银山,李彤,等.李亚普诺夫指数谱的研究与仿真[J].计算机仿真,2005,22(12):285.288.
    [88] Kaplan J L,Yorke J A.A Regime Observed in a Fluid Flow Model of Lorenz[J].Communications in Mathematical Physics,1979,67:93-108.
    [89]吕金虎,陆君安,陈士华.混沌时间序列分析及其应用[M].武汉:武汉大学出版社,2002:202.204.
    [90]关新平,范正平等,混沌控制及其在保密通信中的应用,北京:国防工业出版社,2002.32-44
    [91]陈奉苏,混沌控制及其应用,北京:中国电力出版社,2006.1-8.
    [92] Ott E, Grebogi C, Yorke J A, Controlling chaos, Phys Rev Lett,1990,64(11):1196-1199
    [93] Ditto W L, Rauseo S N, Spano M L, Expermental control of chaos, Phys RevLett,1990,65(26):3211-3214
    [94] Romeiras F J, Grebogi C, Ott E, Controlling chaotic dynamical systems, PhysicaD,1992,(58):165-192
    [95] Grebogi, Ying-Cheng La. Controlling chaotic dynamical systems. Systems&Control Letters,1999,31:307-312.
    [96] Mirus,J.C.Sprott.Controlling chaos in a high dimensional system with periodicparametric perturbations,Physics Letters A,1999,254:275.278.
    [97] Lima R, Pettini M, Suppression of Chaos by Resonant parametric perturbations,Phys Rev A,1990,(41):726-728.
    [98] Sinhna S, Ramaswamy R, Subba Rao J. Adaptive control in nonlinear dynamic[J]. Physica D,1990,(43):118-128.
    [99] Braiman Y, Goldhirsch I, Taming chaolic dynamic with weak perturbation[J].Phys Rev Lett,1991,66(20):2545-2548.
    [100]王文杰,王光瑞,陈式刚,储存环型自由电子激光器光场混沌的控制[J].物理学报,1995,44(6):862-870.
    [101] Hunt E R, Stabilization high-period orbits in chaotic system: the diode resonator[J]. Phys Rev Lett,1991,67(15):1953-1955.
    [102] Peng B, Petrov V, Showalter K, Controlling chemical chaos[J]. J Chem Phys,1991,(95):4957-4963.
    [103] Guo-Ping Jiang,Wei Xing Zheng.A simple method of chaos control for a classof chaotic discrete-time systems[J].Chaos,Solitons and Fractals,2005,23:843-849.
    [104] Pyragas K, Continuous control of chaos by self-controlling feedback[J].PhysLett A,1992,(170):421-428.
    [105]李国辉,周世平,徐得名,等.间隙线性反馈控制混沌叨.物理学报,2000,49(11):2123-2128.
    [106]刘扬正,李平,胡可乐.混沌控制中非线性时滞反馈方法的探讨[J].南京工程学院学报,2002,2(2):14-17.
    [107]薛月菊,冯汝鹏.连续时间耦合系统中时空混沌的自适应模糊控制[J].物理学报,2001,50(3):440-444.
    [108]裴文江,黄俊,刘文波,等.自适应延迟反馈控制混沌[J].控制理论与应用,1999,16(2):297-300.
    [109]郁俊莉.经济系统混沌控制方法及发展研究[J].武汉理工大学学报,2005,27(4):102-104.
    [110]孙梅.一类能源供需系统的动力学分析、控制与同步[D].江苏大学博士学位论文,2006.
    [111] Day R H. Irregular growth cycles[J].American Economic Review,1982,72(3):406-414.
    [112] Benhabib J. Cycles and chaos in economic equilibrium [J]. Princeton UniversityPress, Princeton,1992.89-95.
    [113] Rosser J. B.. Long wave chaos and systemic economic transformation [J].World Future,1994,39(2):197-207.
    [114] Rosser J.B.. From catastrophe to chaos: A general theory of economicdiscontinuities[J]. Kluner Academic Publishers,1991.169-186.
    [115]宋学锋.复杂性、复杂系统与复杂性科学[J].中国科学基金,2003,(5):262-269.
    [116]黄登仕,李后强.非线性经济学的理论和方法[M].成都:四川大学出版社,1993.78-95.
    [117] Chen P., Empirical and theroetical evidence of Monetary[J].Chaos systemDynamical Review,1988,47:88-96.
    [118]徐前方.上证指数中的奇异吸引子[J].数量经济与技术经济研究,1994,10(2):23-26.
    [119]孙广振,王劲松.深圳股市浑沌现象的辨识及其讨论[J].数量经与技术经济研究,1994,10(1):64-67.
    [120]宋学锋,顾世清.深沪证券市场股价波动的浑沌度及其调控方法[].管理科学学报,2000,3(1):53-57.
    [121]昊冲锋,王承炜,吴文锋.交易量和交易量驱动的股价动力学分析[J].管理科学学报,2002,5(1):1-11.
    [122]周延,郁可.分形几何在股票价格变动研究中的应用[J].预测,1993,(3):49-51.
    [123]胡光宇.蓝色经济发展的混沌条件与经济预测方法[J].清华大学学报(自然科学版),2011,51(8):1134-1138.
    [124]刘立衡,韩璞,王东风.混沌遗传算法研究及其在经济负荷分配问题中的应用[J].华北电力大学学报,2010,37(3):93-96.
    [125]王兴元.复杂非线性系统中的混沌[M].北京:电子工业出版社,2003,8.
    [126]林福永.复杂性科学与组织管理[J].管理世界,2001,10(2):3-6.
    [127]钱学森,于景元,戴汝为.一个科学新领域-开放的复杂巨系统及其方法论[J].自然杂志,1990,13(1):3-10.
    [128] Shapiro R D.Get leverage from logistics [J].Harvard Business Review,1984,24(3):119-127.
    [129]赵先德,谢金星.现代供应链管理的几个基本概念[J].南开管理评论,1999,2(1):62-66.
    [130] Sven Axsater, Kaj Rosling. Installation VS. Echelon Stock policies forMultilevel Inventory control [J].Management Science,1993,39(9):1092-1107.
    [131] Boldrin M,Montrucchio L. On the Indeterminacy of Capital AccumulationPaths [J]. Journal of Economic Theory,1986,(40):26-39.
    [132] Kopel K, Haas J. Stabilizing Chaos in a Dynamic Macroeconomic Model[J].Journal of Economic Behavior and Organization,1997,1998,(33):311-332.
    [133] Jayaraman V, Guide J V, Srivastava R. A closed loop logistics model forremanufacturing[J].Journal of the operational research society,1999, Vol.50:497-508.
    [134] http://cn.chinagate.cn/economics/2010-06/01/content_20161665.htm.
    [135] C.H.Hommes. Dynamics of the cobweb model with adaptive expectations andnonlinear supply and demand [J]. Economic Behavior Organization,1994,24:315-335.
    [136] Onozaki T,Sieg G,Yokoo M.Complex dynamics in a cobweb model withadaptive production adjustment [J]. Journal of Economic Behavior&Organization,2000,41:101-115.
    [137] SjurDidrikFlhm, Yuri M. Kaniovski.Price Expectations and Cobwebs underUncertainty [J]. Annals of Operations Research,2002,114:167-181.
    [138] Szidarovszky,Ferenc Li. Weiye A note on the stability of Cournot-Nashequilibrium: the multiproduct case with adaptive expectations. Journal ofMathematical Economics.2000,33(1):101-107.
    [139]穆玲玲.房地产市场非线性博弈模型及其内在复杂性研究[D].天津大学博士学位论文,2007,12:53-60.
    [140]吉伟卓.寡头垄断电力市场产量博弈模型及其混沌复杂性研究[D].天津大学博士学位论文,2008,1:38-39.
    [141]程丽,彭建华,黄秋楠.控制混沌与超混沌同步[J].东北师范大学学报(自然科学版),2001,33(3):43-47.
    [142]陈予恕,唐云,非线性动力学中的现代分析方法[M].北京:科学出版社,1992.78-96.
    [143]周建兴,岂兴明,矫津毅,等.MATLAB从入门到精通[M].北京:人民邮电出版社,2008,11.
    [144]刘秉正,彭建华.非线性动力学[M].北京:高等教育出版社.2004,1.
    [145]罗晓曙,陈关荣,汪秉宏,等.状态反馈和参数调整控制离散非线性系统的倍周期分岔和混沌[J].物理学报,2003,52(4):790-794.
    [146]郭悦红,马军海,王冠辉.回收再制造系统的重复博弈模型及复杂性分析[J].工业工程,2011,14(5):66-69.
    [147]张克勇,周国华.基于博弈论的闭环供应链差别定价协调问题[J].经济问题,2008(9):13-15.
    [148] Guo Yuehong, Ma Junhai, Wang Guanhui. Research on different pricingstrategy of closed-loopsupply chain based on game [J]. Proceedings-3rdInternational Conference on Information Management, Innovation Mangementand Industrail Engineering, ICIII2010:34-37.
    [149]葛静艳,黄培清.基于博弈论闭环供应链定价策略分析[J].系统工程学报,2008,23(1):111-115.

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