二层规划及其在电信供应链协调中的应用
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摘要
随着电信业的转型、重组以及3G牌照的发放,中国正式迎来了期待已久,内容为王的3G时代。移动互联网增值业务必将获得蓬勃的生机,竞争也必将空前的激烈。企业之间的竞争不再是简单的个体之间的竞争而是供应链与供应链之间的竞争,而电信运营商如何应对目前的链与链之间的竞争,如何与新兴的增值业务提供商进行合作以便获取更大的利润,以及目前的盈利模式是否合理,都将值得深入的研究。特别是现实世界中存在的信息不对称以及双边际效应使供应链企业之间的竞争与合作变得更加复杂,在这样的环境中如何协调供应链是研究的一个热点。
     另一方面,在经济活动中,竞争与合作广泛存在。人们在做决策时,不仅要考虑自己的情况,而且还需要考虑竞争对手的情况及其可能的反应等。而且,在决策中,往往具有层次结构,不同层上有不同的决策者,他们有着不同的利益,其决策结果相互影响,相互制约。研究层次性问题的二层规划理论自Stackelberg以来得到了迅速的发展,一直是一个较为热点的研究领域。近年来有不少的学者借助于二层规划来研究具有鲜明层次性的供应链问题,然而,电信供应链在层次性的表现上更加错综复杂,如何建立模型使之符合这种二层规划的思想及层次性,是一项艰巨的任务。
     鉴于以上两点,本文将根据目前供应链协调的主要理论——合同协调理论及二层规划理论进行有机的结合,来重点研究电信供应链中的增值业务供应链之间的协调问题。研究主要集中在电信运营商、增值业务提供商之间的参数决策权、参数值如定价、收入分成比例等的决策问题,并对其进行了二层规划协调供应链的效果分析。详细来讲,本文主要研究内容包括以下几个方面:
     第一在研究了电信供应链及其特点的基础上,讨论了联合供应链合同协调理论及二层规划理论在电信供应链中应用的可行性。
     第二在研究目前求解非线性规划流行的智能算法的基础上,提出了两种混合的智能算法,然后利用国际公认的检验函数对算法进行了检验,证明了有效性,并提出了基于混合智能算法的二层规划的解法,且同时给出了模型上下层有无决策顺序时的算法。
     第三针对当前电信业特别是3G时代的数据增值业务供应链,在利用收入共享合同模型的基础上,对彩铃增值业务供应链进行了二层规划的建模和仿真,并分别讨论了一个彩铃增值业务提供商(SP)和多个电信运营商、一个电信运营商和多个彩铃增值业务提供商(SP)的“单/多”二层规划问题,且详细讨论了下层企业间非合作竞争、合作、合谋及委托人防范合谋的情形。另外,根据仿真结果针对模型及业务流程的缺陷,提出了两种改进的方法,并对改进的模型进行了建模和仿真分析。
     在同时考虑价格和努力程度对需求的影响下,对上述的“单/多”型进行建模分析,仿真结果表明:占优势的企业(无论是电信运营商还是SP)均会充分利用自己的地位和权势来最大程度的榨取供应链上的利润,而仅给从属地位的参与者最基本的参与期望利润;对于下层有多人的情形,先行动者比后行动者获取较多的利润,并且下层合谋可以获取比不合作时更多的利润,而上层却受到损失;运用二层规划模型求出的供应链的总利润介于分散式与集成式供应链的总利润之间,在集成式供应链较难实现的现阶段有很好的应用前途。
     第四研究了多个SP和多个电信运营商存在的情形,分别就多个SP在上层和多个电信运营商在上层的“多/单”、“多/多”二层规划模型进行了建模和仿真分析,并利用研究工作二的算法对同层和上下层多人有无决策顺序的情形进行了详细的分析。
     上述“多/单”、“多/多”型实证研究的仿真结果表明:在双边际效应的影响下,各企业为了自身的利润会最大程度利用自身的优势来榨取供应链利润而不管相关企业的利润;同样的企业,同样的成本数据,当处于二层规划的不同层次时,获取的博弈均衡解是不同的,且处于同层时,先行动比后行动获取较多的利润;目前的电信供应链没有完全协调,其中通信费还有一定的下调空间;二层规划得到的均衡解,使供应链的利润处于集成式与分散式供应链的利润之间,在信息不对称和双边际效益的情形下,能很好的发挥起协调作用。
With the reorganization of telecom industry and the issuance of 3G licenses, China will entrance the age of 3G where contents are the main business. The value-added services of mobile Internet will be vigorous, at the same time, the competition will be unprecedented intense. Meanwhile, the competition between individual enterprises will transfer to the competition between the supply chains. Therefore, it is significant to discuss how telecom operators deal with the supply chain competition and choose the proper way to cooperate with new value-added service providers in order to obtain greater profits. At the same time, telecom operators should review the profit mode to adapt the reality, where is full of asymmetry information and complex relationship between enterprises in the supply chain because of double marginalization.
     On the other hand, there is a wide range of competition and cooperation in economic activities. When people make a decision, they not only consider their own situation, but also take the competitors' situation and response into account. And on the decision, the decision-makers usually are on different level and have their own profit function, so the decision results affect each other and constraint mutually. The bi-level programming theory which studying the level issue has been developed from Stackelberg, and become a hot research field. Many scholars have used bi-level programming to study the supply chain which has clear-cut level characters recently, while the level characters of the telecom supply chain are complex, and it is a difficult problem to construct the telecom supply chain model to meet the bi-level programming theory.
     Based on the two issues before, this paper will combine the contract coordination theory and bi-level programming theory to study the value-added service supply chains coordination of telecom supply chain, which focuse on the parameters of the decision-making power between operators and value-added service providers, such as pricing, the proportion of revenue. Then analyze the effects of bi-level programming to the supply chain coordination. The main contents are concluded as follows:
     Firstly: On the base of researching the telecom supply chain model and its characters, the feasibility of applying the supply chain contract coordination theory and bi-level programming theory to the telecom supply chain is discussed.
     Secondly: Studying several intelligent algorithms which are commonly used to solving the non-linear programming, two types of hybrid intelligent algorithm are proposed, and the algorithms are proved effectively by internationally recognized test function, then the algorithm to solve the bi-level programming based on the hybrid intelligent algorithm is put forward, which considered the decision-making order between the competitors in the same levels.
     Thirdly: Aiming at the telecom supply chain especially the value-added services supply chain in the 3G era, with revenue sharing contract, the color ring service supply chain is modeled and simulated, the "single-multi" bi-level programming model which there is one color ring provider in the leader level and several telecom operators in the follower level, or one telecom operator in leader level and several color ring providers in follower level is discussed. Then the situation of the non-cooperative competition, cooperation, collusion, and principal prevented collusion between agents in follower level are analyzed. Furthermore, on the basis of researching the current models and process, the improved models are proposed and simulated.
     With considering the demands affected by the price and promote efforts degree, the "single-multi" model is modeled and the simulation results show that: The preponderant firms (whatever telecom operators or SP) will take full advantage of their own superiority to squeeze the maximum profit in the supply chain, and only give the secondary firms the basic profit which make the firms participate in; in the situation of having multiple agents in follower level, the earlier actor earn more profit than latter actor, and more profit can be obtained by cooperation (collusion), while the leader loses; the total profit of the supply chain obtained by the model of bi-level programming is between the decentralized and integrated supply chain's profit, which is the reason why the supply chain modeled by the bi-level programming can be applied broadly in the stage of having difficulty to implement the integrated supply chain.
     Fourthly: The situation of having multiple service providers and multiple telecom operators is researched firstly, and then the situation that there are multiple service providers in the follower and leader level respectively modeled and simulated by the algorithm which proposed in the second works.
     The "multi-single", "multi-multi" telecom supply chain models simulation results show that: On the effects of double-marginalization, the firm will take full use of the advantages to maximize its own profit regardless of the related participators' profits; the same firm in different level have different profits, and in the same level, the earlier actor has more profit than latter actor; the telecom supply chain at present is not coordination yet, and the communication fee has downward space; in the situation of asymmetry information and double-marginalization, the bi-level programming model with supply chain contract can coordinate the supply chain better.
引文
[1]Stackelberg H.V.The theory of the market economy.New York,Oxford:Oxford University Press,1952.
    [2]S.Tayur,M.Magazine,and R.Ganeshan(Eds.).Quantitative Models of Supply Chain Management.Kluwer Academic Publishers,1999.
    [3]王勇.供应链契约协调研究[D].上海:上海交通大学,2005.
    [4]The Supply Chain Management and Telecom Components:Electronic Packaging.Power Systems,and Wire&Cable 2001-2006.USRepotr.2001/10.http://www.gii.co.jp/english/ir8259-telecomcom components.html
    [5]e2OSS Frame work to Telecom supply chain scenarios-B2B Trust Service Provider Demonstration.Eurescom project.2003/01.http://www.eurescom.de/public/projectresults-p1100-series/1106D5.asp
    [6]Telecom Wholesale Sevrice(TWS) scenarios for new Broad Band access to IP and Data Network Sevrices.Francesco Costantino,Francesco Silletta-Telecom Italia,International Symposium on Services and Local access.2002.
    [7]Telecom Supplie Diversity Task Force report[R].June2003.http://www.sbcsuppliers.com/
    [8]郑惠莉.电信供应链协调研究[D].南京:东南大学,2004.
    [9]盛昭瀚.主从递阶决策论.北京:科学出版社1998.
    [10]Outrata1.Neecssary optimization conditions for Stackelberg problems.Journal of Optimization Theory and Applications,1993,76:305-320.
    [11]Bialas W F,Chew M N.On two-level optimization.IEEE transactions on automatic control,1982,AC-26:211-214.
    [12]Bracken J,McGill J.Mathematical programs with optimization problems in the constraints.Operation Research,1973,21:37-44.
    [13]Candler W,R Norton.Multilevel programming.Technical Report 20,World Bank Development Research Center,Washington D,C.1977.
    [14]Wen U.P.,Hsu,S.T.,Linear bilevel programming problem- a review.Journal of the Operational Research Society,1991,42(2):125-133.
    [15]Ben-Ayed,O..Bilevel linear programming.Computers and Operations Research,1993,20:485-501.
    [16]Vicente,L.,Calamai,P.H.,Bilevel and multibilevel programming:a bibliography review.Journal of Global Optimization,1994,5:291-306.
    [17]Dempe,S.,Annotated bibliography on bilevel programming and mathematical programs with equilibrium constraints.Optimization,2003,52:333-359.
    [18]腾春贤,李智慧.二层规划的理论与应用.北京:科学出版社,2002.
    [19]王先甲,冯尚友.二层系统最优化理论.北京:科学出版社,1995.
    [20]刘红英.多层规划理论与算法研究[D].西安:西安电子科技大学,2000.
    [21]Bialas,W.F.,Karwan,M.H.,Two-level linear programming.Management Science,1984,30(8):1004-1020.
    [22]Dempe,S.,Foundations of Bilevel Programming,Kluwer Academic Publishers,2002.
    [23]Jeroelow,R,The polynomial hierarchy and a simple model for competitive analysis.Mathematical Programming.1985.32:146-164.
    [24]Ben-Ayed,O.,Blair,O..Computational difficulties of bilevel linear programming.Operations Research,1990,38:556-560.
    [25]Bard,J.E Some properties of the bilevel linear programming.Journal of Optirnization Theory and Applications,1991,68:371-378.
    [26]Hansea,P.,Janmard,B.,Savard,G.New branch-and-bound rules for linear bilevel programming.SIAM Journal on Science and Statistical Computing,1992,13:1194-1217.
    [27]Vicente.LG.,Judice,J..Descent approaches for quadratic bilevel programming.Journal of Optimization Theory and Applications.1994:379-399.
    [28]Deng X.,Migdalas,A.,Pardalos,P.M.etl.Complexity issue in bilevel linear programming,Multilevel Optimization:Algorithms and Applications.Dordrecht:Kluwer Academic Publishers,1998,149-164.
    [29]Bard,J.F.Optimality condition for the bilevel programming problem.Naval Research Logistics Quarterly,1984,31:13-26.
    [30]Bard,J.F.Coordination of a multidivisional organization through two-levels of management.OMEGA,1983,11:457-468.
    [31]Bard,J.F.An efficient point algorithm for a linear two-stage optimization problem.Operations Research,1983.31:670-684.
    [32]Unlii,G.A linear bilevel programming algorithm based on bicritefia programming.Computers and Operations Research,1987,14:173-179.
    [33]Clarke,P.,Westerberg,A.A note on the optimality conditions for the bilevel programming problem.Naval Research Logistics,1988,35:423-418.
    [34]Haurie,A.,Savard,G.,White D.J.A note on:an efficient point algorithm for a linear two-stage optimization problem.Research Operations,1990,38:553-555.
    [35]Savard,G.Montreal Contributions a la programmation mathematique a deux niveaux.PhD thesis,Univereite de Ecole Polytechnique,1989.
    [36]Bard,J.F.,Falk,J.E.An Explicit Solution to the Multilevel Programming Problem.Computer Oper.Res.1982,9:77-100.
    [37]J.Bard.An efficient algorithm for solving general bilevel programming problem.Math.Oper.Res.1983,8:260-272.
    [38]J.Bard.Convex two-level optimization.Math Programming,1988,40:15-27.
    [39]Kolstad,C.D.,Lasdon,L.S.Derivative evaluation and computational experience with large bilevel mathematical programs.J.Optim.Theory Appl.1990,65:485-499.
    [40]Ye,J.J.Ye,X.Y.Necessary optimality conditions for optimization problems with variational inequality constraints.Math.Oper.Res.1997,22:977-997.
    [41]Y.Chen,M.Florian.The nonlinear bilevel programming problem:a general formulation and optimality condition.Technical Report CRT-974,Centre de Research sudes Transports,1991.
    [42]S.Dempe.A necessary and a sufficient optimality condition for bilevel programming problems.Optimization,1992,25:341-354.
    [43]S.Dempe.Optimality conditions for bilevel programming problem.InP.Kall,editor,System modeling and optimization,Springer-Verlag,Berlin,1992:17-24.
    [44]J.Outrata.Necessary optimality conditions for Stackelberg problems.Journal of Optimization Theory and Applications,1993,76:305 -320.
    [45]J.Ye,D,Zhu.Optimality conditions for bilevel programming problems.Technical Report DMS-618-IR,University of Victoria,Department of Mathematics and Statistics,1993.
    [46]Z.Bi,P.Calamai.Optimality conditions for a class of bilevel programming problems.Technical Repotr#191-0-191291,University of Waterloo,Department of Systems Design Engineering,1991.
    [47]王春峰,李光泉,郑丕諤.动态多人递阶决策问题-结构、非光滑及必要条件.系统工程学报,1996,11(4):27-36.
    [48]Savard G.,Gauvin J.The steepest descent direction for the nonlinear bilevel programming problems.Operations Research Letters,1994,15:275-282.
    [49]L.Vicente,P.Calamai.Geometry and local optimality conditions for bilevel programs with quadratic strictly convex lower levels.In D.-Z P.M Pardalos,editors,Minimax and Applications,Du and Kiuwer Academic Publishers Group,Dordrecht,The Netherlands,1995:141-151.
    [50]Geoffrion AM,Hogan WW.Coordination of two-level organizations with multiple objectives.in Techniques of Optimization,New York Academic Preas,1972,455.466.
    [51]Shimizu k,Aiyoshi E.Hierarchical multi-objective decision systems for general resource allocation problems.Journal of Optimization Theory and Application,1981,35:517-533.
    [52]杨丰梅.二层多目标规划问题的Pareto有效解.北京化工大学学报,1994,21(3):79-85.
    [53]Zhen L,Wang RS.Study on some problems of bilevel multi-objective programming.Beijing Hangkong Hangtian Daxue Xuebao,1996,22:623-628.
    [54]徐飞,王婉尘.二层多目标极值优化问题的最优性条件.上海交通大学学报,1999,11(10):1268-1271.
    [55]Liu DF.New approach to linear Stackelberg problems with multiple leaders-flowers.Chinese Quaflefly Journal of Mathematics,2001,16(3):34-41.
    [516]田厚平,郭亚军,王学军.一类基于进化博弈的多主多从Stackelberg对策算法.系统工程学报,2005,20(3):303-307.
    [57]Baser T,Olsder G J.Dynamic non-cooperative game Theory.Academic Press INC.LTD.,1982
    [58]田厚平.二层规划若干理论及其在供应链中的应用研究[I)].沈阳:东北大学,2004.
    [59]王广民,万仲平,王先甲.二层规划综述.数学进展,2007,36(5):513-529.
    [60]周爱民,谭春桥.二层规划模型及其算法研究综述.零陵学院学报2005,26(2):133-137
    [61]Candler,W.,Townsley,R.,A linear two-level programming problem.Computers and Operations Research,1982,9(1):59-76.
    [62]Bard,J.F.,An investigation of the linear three level programming problem.IEEE Transaction System,Man and Cybernetics,1984,14(5):711-717.
    [63]刘红英.刘三阳,带上层约束的二层线性规划.应用数学.1999,12(1):106-109.
    [64]Ben-Ayed,O.,Blair,O.Computational difficulties of bilevel linear programming.Operations Research,1990,38:556-560.
    [65]Shi Chenggen,Zhang Guangquan,Lu Jie.On the definition of linear bilevel programming solution.Applied Mathematics and Computation,2005,160:169-176.
    [66]Shi Chenggen,Lu Jie,Zhang Guangquan.An extended Kth-best approach for linear bilevel programming.Applied Mathematics and Computation,2005,164:843-855.
    [67]Shi Chenggen,Zhang Guangquan,Lu Jie.The Kth-best approach for linear bilevel multi-follower programming.Journal of Global Optimization,2005,33:563-578.
    [68]Audet,C.,Haddad,J Savard,G.A note on the definition of a linear programming solution.Applied Mathematics and computation,2006,181:351-355
    [69]Wan Zhong-Ping,Lv Yi-Bing,Wang Guang-Min.A note on the definition of linear bilevel programming solution.Journal of Computational Mathematics and Optimization,2006,2(2):99-109.
    [70]Bard,J.F.Practical Bilevel Optimization:Algorithms and Applications.Kluwer Academic Publishers Dordrecht.1998.
    [71]Fortuny-Amat,J.,McCarl,B.A representation and economic interpretation of two-level programming problem.Journal of Operational Research Society,1981,32:783-792.
    [72]Bard,J.F.,Moore,J.A branch and bound algorithm for the bilevel programming problem.SIAM Journal on Scientic and Statistical Computing,1990,11:281-292.
    [73]Edmunds,T.A.,Bard,J.F.Algorithms for nonlinear bilevel mathematical programs.IEEE Transactions on Systems,Man,and Cybernetics,1991,21:83-89.
    [74]Al-Khayyal,F.A.,Horst,R.,Pardalos,P.Global optimization of concave functions subject to quadratic cametraints:an application in nonlinear bilevel programming.Annals of Operations Research,1992,34:125-147.
    [75]Wen U.P.,Yang Y.Algorithms for solving the mixed integer two-level lineal programming problem.Computers and Operations Research,1990,17:133-142
    [76]Moore,J.,Bard,J.F.The mixed integer linear bilevel programming problem.Operations Research,1990,38:911-921.
    [77]Bard,J.F.,Moore,J.An algorithm for the discrete bilevel programming program.Naval Research Logistics 1992,39:419-435.
    [78]Edmunds,T.A.,Bsad,J.F.An algorithm for the mixed integer nonlinear bilevel programming problem.Annals of Operations Research,1992,34:149-162.
    [79]倪放明,徐南荣.混合整数二层线性规划的一个代理约束方法.东南大学学报,1994,24(1):77-82.
    [80]沈厚才,徐南荣,仲伟俊.一类含0-1变量的目标二层决策方法研究.东南大学学报,1995,25(6):125-130.
    [81]Bialas,W.F.,Karwan,M.H.,Shaw,J.A parametric complementary pivot approach for two-level linear programming.Technical Report 80-2,State University of New York at Bualo,Operations Research Program,1980.
    [82]Judice,J.,Faustino,A.The solution of the linear bilevel programming problem by using the linear complementary problem.Investigacao Oprational,1988,8:77-95
    [83]Jtidice,J.,Faustino,A.A sequential LCP method for bilevel linear programming.Annals of Operation Research,1992,34:89-106.
    [84]Judice,J.,Faustino,A.The linear-quadratic bilevel programming problem.INFOR,1994,32:87-98.
    [85]Onal,H.A modied simplex approach for solving bilevel linens programming problems.European Journal of Operational Research,1993,67:126-135
    [86]Bertsekas DP.Multiplier Methods:A survey.Automation.1976,12(1):133-145.
    [87]裴峥,黄天民.二层线性规划的模糊数学解法.西南交通大学学报,2000,3 5(1):98-101.
    [88]刘新旺,达庆利.一种多人递阶资源分配问题的模糊满意解.系统工程理论与实践,2000,1:51-56.
    [89]Han Jiye,Liu Guoshan,Wang Shouyang.A new descent algorithm for solving quadratic bilevel programming problems.Acta Mathematicae Avniicatae Sanica,English Series,2000,16:235-244.
    [90]Kolstad C D,Lasdon L S.Derovative evaluation and computational experience with large bilevel mathematical programs.Journal of Optimization Theory and Applications.1990,65:485-499.
    [91]Tanion T,Ogawa T.An algorithm for solving two-level convex optimization problems.System Science,1984,15:163-174.
    [92]Shimiyu K,Aiyoshi E.A solution method constrained stackelberg problem via penalty for the static method.TEES Trans,Automat,Contr.,1984,AC-29(12 ):1111-1114
    [93]Ishizuka Y Aiyoshi E.Double penalty method for bilevel optimization problems.Annuals of Operations Research,1992.34:73-88.
    [94]White D,Anandalingam G.A penalty function approach for solving bilevel linear programs.Journal of Global Optimization,1993,3:397-419.
    [95]邓先礼,雷万明.用罚函数求解二层凸规划的方法.应用数学学报,2001,24(2):161-167.
    [96]杨亚红,刘三阳.二层多目标规划的一个精确罚函数法.应用数学,2001,14(1):76-80.
    [97]曹东.应用罚函数法求解二层线性规划问题的全局优化方法.控制与决策,1995.7(4):327-331
    [98]Anandalingam,G.,White,D.J.A solution method for the stackelberg problem using penalty functions.IEEE Transactions on Automatic Control,1990,35(10):1170-1173.
    [99]Luo Z.Q.,Pang J.S.,Wu S.Q.Exact penalty functions for mathematical programs and bilevel programs with analytic constraints.Preprint from the Department of Electrical and Computer Engineering,Mc- Master University,1993.
    [100]Liu G.3.,Han J.Y.,Zhang J.Z.Exact penalty functions for convex bilevel programming problems.Journal of Optimization Theory anal Application,2001,110(3):621-643.
    [101]Wan Zhongping,Zhou Shumin.The convergence of approach penalty function method for approximate bilevel programming problem.Acta rnathernatica scientia,Seres B,English Edition,2001,21:69-76.
    [102]Calvete,H.L,Gale,C.A penalty method for solving bilevel linear fractional/linear programming problems.Asia-Pacific Journal of Operational Research,2004,21(2): 207-224.
    [103]Lv Y.,Hu T.,Wan Z.A penalty function method for solving weak price control problem.Applied Mathematics and Computation,2007,186:1520-1525.
    [104]Lv Y.,Hu T.,Wang G.,Wan Z.A penalty function method based on Kuhn-Tucker condition for solving linear bilevel programming.Applied Mathematics and Computations,2007,188:808-813.
    [105]Ganvin J.,Debeau F.Differential properties of the marginal function in mathematical programming.Math Prog.Study.1982,19:101-119.
    [106]Wen U P,Huang A D.Simple tabu the mixed-integer linear bilevel search method to solve programming problem.European Journal of Operation Research,1996,88(3):563-571.
    [107]Gendreau M,Marcotte P,Savard G.Hybird tabu-ascent algorithm for the linear bilevel programming problem.Journal of Global Optimization,1996,8(3):217-233.
    [108]Rajesh J.,V.K.Jayaraman,B.D.Kulkarni.A Tabu Search Based Approach for Solving a Class of Bilevel Programming Problems in Chemical Engineering.Journal of Heuristics,2003,9:307-C319.
    [109]杨若黎,顾基发.一类非线性两级规划问题的模拟退火求解.系统工程理论与实践,1997(7):52-58.
    [110]Sahin,H.K.,R.A.Ciric.A Dual Temperature Simulated Annealing Approach for Solving Bilevel Programming Problems.Computers and Chemical Engineering,1998,23(1):11-25.
    [111]Mathieu R,Pittard L,Anandalingam G.Genetic Algorithm Based Approach to Bi-level Linear Programming.RAIRO:Operations Research,1994,28:1-21.
    [112]Hejazi,S.R.,Memariani,A.,Jahanshanloo,G.,etal.Linear bilevel programming solution by genetic algorithm.Computers& Operations Research,2002,29:1913-1925.
    [113]Wang Guangmin,Wan Zhongping,Wang Xianjia,etal.Genetic algorithms for solving quadratic bilevel programming problem.Wuhan,University Journal of Natural Sciences,2007,12(3):421-425.
    [114]Liu B.Stackelberg-Nash equilibrium for multilevel programming with multiple follows using genetic algorithms.Computers& Mathematics with Applications,1998,36(7):79-89.
    [115]Niwa,K.,Nishizalci,L,Salmwa,M.Decentralized two-level 0-1 programming through genetic algorithms with double strings.1998 Second International Conference on Knowledge-Base Intelligent Electronic Systerns,1998,21-23:278-284.
    [116]Oduguwa,V.,Roy,R.Bi-level optimization using genetic algorithm.IEEE International Conference on Artificial Intelligence Systems,2002,322-327.
    [117]刘树安,尹新,郑秉霖.二层线性规划问题的遗传算法求解.系统工程学报,1999,14(3):280-285.
    [118]李志刚,吴沧浦.兵力部署优化问题的混合算法.控制与决策,1997,12(5):602-605.
    [119]杜文,周久军.带上层约束二层线性规划的遗传算法.武汉职业技术学院学报,2003,2(2):75-77.
    [120]仲伟俊,徐南荣.二层决策的波尔兹曼机方法.系统工程学报,1995,10(1):7-13.
    [121]Wu CangPu.Hybird technique for global optimization of hierarchical system.Proceedings of the IEEE International Conference on Systems,Man and Cybernetics,1996,3:14-17.
    [122]Shih,H.S.,Wen U.P.,Lee,E.S.,et al.A neural network approach to multi-objective and multilevel programming problems.Computers and Mathematics with Applications,2004,48:95-108.
    [123]Lan K.M.,Wen U.P.,Shih,H.S.,Lee,E.S.A hybrid neural network approach to bilevel programming problems.Applied Mathematics,2007,20:880-884.
    [124]刘国山,韩继业,汪寿阳.二层优化问题的信赖域算法.科学通报,1998,43(4):383-387.
    [125]徐飞,王洗尘.一主多从二层非光滑优化问题的集成算法.上海交通大学学报,1998,32(12):115-119.
    [126]Aarls E,Korst J.Simulated annealing and Boltzman Machines.New York:John Wiley and Sons,1989.
    [127]夏洪胜.基于置换率和满意度的二层多目标决策问题的交互式算法研究[D].南京:东南大学,1992.
    [128]仲伟俊,盛昭瀚,徐南荣.多人二层多目标决策问题的交互式优化方法.控制与决策,1992,7(2):113-117.
    [129]李彤,膝春贤.二层多目标决策问题借助满意度的优化算法.哈尔滨理工大学学报,2004,(2):101-107.
    [130]郭亚军.综合评价理论与方法.北京:科学出版社,2002:56-58.
    [131]魏存平,邱莞华,杨继平.群决策问题的REM集结模型.系统工程理论与实践,1999,19(8):38.48.
    [132]刘善存,邱兑华,魏存平.极大摘方法求解二层多目标决策.系统工程理论与实践2000,20(3):99-103
    [133]向丽,顾培亮.一种基于遗传算法的二层非线性多目标决策方法.系统工程理论方法应用,1999,8(3):16-21.
    [134]Jeyakumar V.,Yang XQ.Convex composite multi-objective non-smooth programming.Mathematical Programming,1993,59:325-343.
    [135]Zhang Tie-Zhu,Liu Zhi-Yong,Teng Chun-Xian,etal.Study on the supply chain's pricing decision based on bilevel programming.Control and Decision,2005,20(9):992-995
    [136]Gui,Shouping,Niu,Baozhuang.A dynamic pricing model for postponement supply chain:The hi-level programming approach.20th IEEE International Conference on Micro Electro Mechanical Systems,MEMS 2007,2007:596-599.
    [137]Wang Yah,Gao Cheng-Xiu.Price decision in a custom-made product supply chain with remanufacturing.Proceedings of 2007 International Conference on Management Science and Engineering,ICMSE'07(14th),2008:717-721.
    [138]Fampa,M.,Barroso,L.A.,Candal,D.,Simonetti,L Bilevel optimization applied to strategic pricing in competitive electricity markets.Computational Optimization and Applications,2008,39(2):121-142.
    [139]Hu,Xinmin,Ralph,Daniel.Using EPECs to model bilevel games in restructured electricity markets with locational prices.Operations Research,2007,55(5):809-827.
    [140]Wan Zhongping,Xiao Changyu,Wang Xianjia,etal.Bilevel programming model of optimal bidding strategies under the uncertain electricity markets.Automation of Electric Power Systems,2004,28(19):12-16.
    [141]仲伟俊,徐南荣.合作关系的多人递阶资源分配问题研究.系统:工程理论与实践,1993(2):11-16.
    [142]谈烨,仲伟俊,徐南荣.多种资源在多项目间分配的二层决策方法.系统工程学报,1999,14(3):290-295.
    [143]Amouzegar Mahyar A.,Moshirvaziri Khosrow.Determining optimal pollution control policies:an application of bilevel programming.European Journal of Operational Research,1999,119(1):100-120.
    [144]Xiao Wei,Liu Zhibin.Multi-objective Linear Programming Model on Injection Oilfield Recovery System.Computer Math Applic,1998,36(5):127-135
    [145]邓勇,杜志敏,陆燕妮.油田开发二层规划优化模型研究.大庆石油地质与开发,2008,(01):67-70.
    [146]谢祥俊,熊维莉,屈怀林,etal.油田产量构成二层规划模型及其应用.西南石油大学学报(自然科学版),2008,(02):163-166.
    [147]Goyal SK.Multi-stage production inventory systems.European Journal of Operational Research,1990,46(1):1-20.
    [148]李永华.多层规划在供应链建模中的应用[D].哈尔滨:哈尔滨理工大学,2003.
    [149]葛亮.基于二层规划的两级供应链协调运作研究[D].沈阳:东北大学,2006.
    [150]张维迎.博弈论与信息经济学.上海:上海人民出版社,2004.
    [151]Migdalas.Bilevel Programming in traffic Planning:models,methods and challenge.Journal of Global Optimization,1995,7:381-405.
    [152]J.Zh.Zhang,D.T.Zhu.A bilevel Programming method for pipe network optimization.1996,6(3):838-857.
    [153]R.Marcotte.Network design Problem with congestion effects:a case of bilevel Programming.Mathematical Programming,1986,34:142-162.
    [154]Mohr,Wener.The Wireless World Research Forum-WWRF.Computer Communications,2003,26(1):2-1.
    [155]Jeuland,Abel P.,Shugan,Steven M..Managing Channel Profits.Marketing Science,1983,2(3):239-272.
    [156]森尼尔·乔普瑞彼得梅因德尔.供应链管理:战略、规划与运营(2).北京:社会科学文献出版社,2003,2.
    [157]Spengler,J.Vertical integrations and anti-trust policy.Journal of Political Economy,1950,(58):347-352.
    [158]岳飞宇.供应链管理中的协调机制研究.科技进步与对策,2003,增刊,51-53.
    [159]Matrin A.Lariviere.Supply Chain Contracting and Coordination with Stochastic Demand,in S.Tayur,M.Magazine,R.Ganeshan(Eds.),Quantitative Models of Supply Chain Management,Kluwer Academic Publishers,1999.
    [160]Tasyetal.Modeling supply chain Contract:A review.In S.Tayur,M.Magazine,R.Ganeshan(Eds.),Quantitative Models of Supply Chain Management,Kiuwer Academic Publishers,1999.
    [161]Cachon,G.P.Supply Chain Coordination with Contracts.To appear in the Handbooks in Operations Research and Management Science:Supply Chain Management.Edited by Steve Graves and Ton de Kok and published by North-Holland,2002.
    [162]Bresnahan,Reiss.Dealer and manufacturer margins.Rand Journal of Economics,1985,16(2):253-268.
    [163]Lariviere,M.E.Potreus.Selling to the newsvendor:an analysis of price-only contracts.Manufacturing and Service Operations Management,2001,3(4):293-305.
    [164]Cachon G.P,Lariviere M A.Supply chain coordination with revenue sharing contracts:strengths and limitations.MANAGEMENT SCIENCE,2005,51:30-44.
    [165]柳键,马士华.供应链合作及其契约研究.管理工程学报,2004,18(1):85-87.
    [166]郑惠莉.电信业务转售供应链批发价合同研究.南京邮电学院学报,2005,25(5):48-52
    [167]P.Olla,N.V.Patel.A value chain model for mobile data service providers.Telecommunications Policy,2002,26:551-571.
    [168]Padmanabhan,V.,I.P.L.Png..Returns Policies:Make Money by Making Good.Sloan Management Review,1995,37(1):65-72.
    [169]Padmanabhan,V.,I.P.L.Png.Manufacturer's returns policy and retail competition.Marketing Science,1997,16(1):81-94.
    [170]Donohue,K.Efficient supply contracts for fashion goods with forecast updating and two production modes.Management Science,2000,46(11):1397-1411.
    [171]Emmons,H.,S.Gilbert.Returns policies in pricing and inventory decisions for catalogue goods.Management Science,1998,44(2):276-283.
    [172]Taylor T.A.Supply Chain Coordination under Channel Rebates with Sales Effort Effects.Management Science,2002,48(8):992-1007.
    [173]赵泉午,熊榆,林娅,etal.多个零售商库存竞争下的易逝品同购合同研究.系统工程,2004,22(8):39-42.
    [174]C.X.Wang.Supply chain coordination in B2B electronic market places.In Proceedings of the 32th Annual Meeting of the Decision Sciences Institute.San Francisco,CA,2002.
    [175]Motrimer,J.H.The Effects of Revenue-Sharing Contracts on Welfare in Vertically Separated Markets:Evidence from the Video Rental Industry.University of California at Los Angeles Working Paper,LosAngeles,CA.2000.
    [176]Gerchak Cho,Ray S.Coordination and dynamic shelf-space management of video movie rentals,working paper,University of Waterloo,Waterloo,Ontario,2001.
    [177]Ilaria Giannoccaro,Pierpaolo Pontrandolfo.Supply chain coordination by revenue sharing contracts.International Journal of Production Economics,2004,89:131-139.
    [178]Zheng Huili,Da Oingli,Can Aihong.Research on telecommunication resale service supply chain coordination with revenue- sharing contract.Journal of Southeast University,2004,20(1):113-116.
    [179]Pastemack,B.Using revenue sharing to achieve channel coordination for a newsboy type inventory model.In Supply Chain Management:Models,Applications and Research.edited by J.Geunes,P.Pardalos and H.E.Romeijn.Kluwer Academic Publishers.2002.
    [180]黄卫来,柯亚兵.基于收入分享契约的协调利润的分配.管理学报,2005,2(1):88-90
    [181]Giannoccaro,P.Pontrandolfo.A fuzzy echelon approach for inventory management in supply chains.European Journal of Operational Research,2003,149(1):185-196.
    [182]王勇,裴勇.需求具有价格敏感性的供应链的利益共享合约.中国管理科学,20Q5,13(6):29-33.
    [183]Tasy,A.A.,W.S.Lovejoy.Quantity flexibility contracts and supply chain performance.Manufacturing and Service Operation Management,1999,1(2):89-111.
    [184]Z.Kevin Weng.Channel coordination and quantity discount,management science, 1995,41(9):1509-1522.
    [185]何勇.具有随机市场需求的供应链契约模型研究[D].大连:大连理工大学,2005.
    [186]刘春林.多零售商供应链系统的契约协调问题研究.管理科学学报,2007,10(2):1-7.
    [187]Ingene A,Parry E.Channel coordination when retailers compete.Marketing Science,1995,14(4):360.377.
    [188]Ingene A,Parry E.Is channel coordination all it is cracked up to be? Journal of Retailing,2000,76(4):511-547.
    [189]J.P.Monahan.A quantitative discount pricing model to increase vendor profits.Management Science,1984,(30):720-726.
    [190]H.L.Lee,M.J.Rosenblatt.A generalized quantity discount pricing model to increase supplier's profits.Management Science,1986,(30):1179-1187.
    [191]M.Khouja.The newsboy problem with multiple discounts offered by suppliers and retailers.Decision Sciences,1996,(27):589-599.
    [192]谢巧华.随机需求下供应链数量折扣和价格补贴的联合契约研究[D].成都:西南交通大学,2006.
    [193]Goyal S.K,Gupta YP.Integrated inventory and models:the buyer-vendor coordination.European Journal of Operational Research,1989,41(3):261-269.
    [194]张贵磊,刘志学.主导型供应链的Stackelberg利润分配博弈.系统工程,2006,24(10):19-23.
    [195]卢震,黄小原.不确定交货条件下供应链协调的Stackelberg对策研究.管理科学学报,2004,7(6):87-93.
    [196]Srabana O,Richard ER.Monitoring the principal with multiple agents.Rand Journal of Economics,1998,29(2):733-248.
    [197]Li SH,Zhang WY.Optimal assignment of principal ship in teams.Journal of Economic Behavior and Optimization,2001,44(1):105-127.
    [198]常良峰,黄小原,卢震.两级供应链Stackelberg主从对策的优化模型及其应用.管理工程学报,2004,18(1):12-16.
    [199]常良峰,黄小原,胡建忠.一类供应链订货的Stackelberg主从对策.东北大学学报,2003,24(2):174-177.
    [200]Gerchak Y,Wang Y.Coordination in decentralized assembly systems with random demand.Working paper,University of Waterloo,Waterloo,Ontario,Canada,1999.
    [201]Gumani H,Gerchak Y.Coordination in decentralized assembly systems with uncertain component yield.Working paper,University of Waterloo,Waterloo,Ontario,Canada,1998.
    [202]Krishnan H,Kapuscinski R,Butz DA.Coordinating contracts for decentralized supply chains with retailer promotional effort.Management Science,2004,50(1):48-63.
    [203]Shimizu K,lshizuka Y.Optimality conditions and algorithms for parameter design problems with two-level structure.IEEE Transactions on Automatic Control,1985,AC-30:986-993.
    [204]Savard G,Gauvin J.The steepest descent direction for the nonlinear bilevel programming problem.Operations Research Letters,1994,15:275-282.
    [205]Aiyoshi E,Shimizu K.Hierarchical decentralized systems and its new solution by a barrier method.IEEE Transactions on Systems,Man,and Cybernetics,1981,11:444-449.
    [206]Aiyoshi E,Shimizu K.A solution method for the static constrained Stackelberg problem via penalty-method.IEEE Transactions on Automatic Control,1984,29:1111-1114.
    [207]Shimizu K,Aiyoshi E.A new computational method for Stackelberg and min-max problems by use of a penalty method.IEEE Transactions on Automatic Control,1981,26:460-466.
    [208]Bard J.An efficient algorithm for solving general bi-level programming problem.Mathematical Operations Research,1983,8:260-272.
    [209]刘国山,韩继业,汪寿阳.二层优化问题的信赖域算法.科学通报,1998,43(4):383-387.
    [210]唐立山,谢云等.非数值并行算法-模拟退火分册.北京:科学出版社,1993.
    [211]Holland,J.H.Adaptation in natural and artificial systems.University of Michigan Press,Ann Arbor,1975.
    [212]刘勇,康立山,陈毓屏.非数值并行算法-遗传算法.北京:科学出版社,1995.
    [213]薛嘉庆.最优化原理与方法].北京:冶金工业出版社,1995,228-238.
    [214]黄逸珺.电信运营产业供应链的系统动力学模型[D].北京:北京邮电大学,2004.
    [215]Holland J H.Adaptation in Nature and Artificial System.The University of Michigan Press,1975.
    [216]挥为民,席裕庚.遗传算法的全局收敛性和计算效率分析.控制理论与应用,199613(4):456-459.
    [217]Gunter Rudolph.Convergence Analysis of Canonical Genetic Algorithms.IEEE transactions on Neural Networks,1994,5(1):96-107.
    [218]J Craig Potts,Terri D Giddens,Surya B Yadau.The Development and Evaluation of an Improved Genetic Algorithm Based on Migration and Artificial Selection.IEEE transactions on System,Man and Cybernetics,1994.24(1):73-85.
    [219]李茂军,童调生,罗隆福.单亲遗传算法及其应用研究.湖南大学学报,1998,25(6):56-59.
    [220]Szu H H.Non-Convex Optimization.Proc.SPIE,1986,(698):59-65.
    [221]Harold Szu,Ralph Hartley.Fast simulated annealing.Physics Letters,1987,(3):157-162.
    [222]Ingber L.Very fast simulated annealing.Mathematical and Computer Modeling,1989,(12):967-973.
    [223]杨若黎,顾基发.一种高效的模拟退火全局优化算法.系统工程理论与实践,1997,(5):29-35.
    [224]Ingber L.Simulated Annealing:Practice versus Theory.Mathematical and Computer Modeling,1993,(18):29-57.
    [225]Chen L.Optimkation by chaotic simulated annealmg.In中日青年国际学术讨论会论文集,日本,神奈川,1995:57-59.
    [226]李兵,蒋慰孙.混沌优化方法及其应用.控制理论与应用,1997,14(4):613-615.
    [227]张彤,王宏伟,王子才.变尺度混沌优化方法及应用.控制与决策,1999,14(3):285-287.
    [228]曹恒智,余先川.单亲遗传模拟退火及在组合优化问题中的应用.北京邮电大学学报,2008,31(3):38-41.
    [229]杨龙宝.二层多随从规划的理论与算法[D].北京:北京化工大学,2005.
    [230]高金伍.不确定多层规划模型与算法[D].北京:清华大学,2005.
    [231]张彤,王子才.基于混沌变量的模拟退火优化方法.控制与决策,1999,14(4):381-384.
    [232]姚俊峰,梅炽,彭小奇etal.混沌遗传算法及其应用.系统工程,2001,19(1):70-74.
    [233]Feng-Tse Lin,Cheng-Yan Kao,Ching-Chi Hsu.Applying the genetic approach to simulated annealing in solving some NP-hard problems.IEEE Trans on SMC,1993,23(6):1752-1767.
    [234]李宏,王宇平.解非线性二层规划的一种混合遗传算法.西安电子科技大学学报(自然科学版),2002,29(6):840-843.
    [235]马恩杰,腾春贤.利用混沌搜索求解二层非线性规划问题.哈尔滨理工大学学报,2002,7(4):74-76.
    [236]李磊,王春峰,滕春贤.一类非线性两级混合整数规划问题的全局最优解的近似算法.系统工程理论与实践,2002,22(4):19-25.
    [237]陈克东.二层规划若干问题的研究[D].西安:西安电子科技大学,2002.
    [238]盛海红.二层规划问题的性质、最优性条件及算法[D].武汉:武汉大学,2000.
    [239]张建雄,唐万生.基于混沌遗传算法的一类非线性二层混合整数规划问题求解.2005.14(5):429-433.
    [240]Liu De feng.New Approach to Linear Stackelberg Problems with Multiple Leadersfollowers.Chinese Quarterly Journal of Mathematics,2001,16(3):34-41.
    [241]刘薇.运营商占主导的移动增值业务供应链利润分配研究[D].北京:北京邮电大学,2008.
    [242]高宇.基于二层规划模型的电信增值业务供应链协调研究[D].北京:北京邮电大学,2009.
    [243]Zhao W,Xin ZH,Zhang L A bilevel programming model for the decentralized decision-making system of a telecommunication operator.2nd International Conference on Research and Practical Issues of Enterprise Information Systems,OCT 14-16,2007 Beijing,PEOPLES R CHINA.
    [244]Vyacheslav V.,Kalashnikov.Roger Z.Rios-Mercado.A natural gas cash-out problem:A bilevel programming framework and a penalty function method.Optim Eng(2006)7:403-420.

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