基于非线性双层规划的产品族低碳配置优化决策
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摘要
在碳限额约束下,针对竞争市场中不同决策主体的产品族配置优化问题,剖析各决策主体间的博弈关系,提出一种基于Stackelberg博弈理论的产品族低碳配置主从关联优化理念与方法。在主从对策决策框架基础上,建立了主从关联优化的非线性0—1双层规划模型,模型的上、下层分别对应竞争市场中主导制造商与跟随制造商各自的产品族低碳配置优化问题,并构建模型求解的双层嵌套遗传算法。将该优化方法并应用于产品笔记本电脑的案例研究中,分别对考虑碳限额约束与不考虑碳限额约束情境下的优化结果进行比较。
In the context of carbon cap constraint and towards product family configuration with different decision makers in the competitive market,game relationships between multiple decision makers were analyzed.Leader-follower joint concept and method were proposed for product family low-carbon configuration based on Stackelberg game.On the basis of leaderfollower decision framework,a nonlinear 0-1 bi-level programming was given.The upper-and lower-level were separated corresponding to the leading manufacturer and following manufacturer.A bi-level nested genetic algorithm was put forward to solve this model considering the characteristics.A case study of notebook was reported.Two different contexts with and without carbon cap constraint were compared.
In the context of carbon cap constraint and towards product family configuration with different decision makers in the competitive market,game relationships between multiple decision makers were analyzed.Leader-follower joint concept and method were proposed for product family low-carbon configuration based on Stackelberg game.On the basis of leaderfollower decision framework,a nonlinear 0-1 bi-level programming was given.The upper-and lower-level were separated corresponding to the leading manufacturer and following manufacturer.A bi-level nested genetic algorithm was put forward to solve this model considering the characteristics.A case study of notebook was reported.Two different contexts with and without carbon cap constraint were compared.
引文
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[7]赵道致,原白云,夏良杰,等.碳排放约束下考虑制造商竞争的供应链动态博弈[J].工业工程与管理,2014,19(1):65-71.
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[14]Bard J F.Practical Klevel Optimization:Algorithms and Applications[M].Dordrecht:Kluwer Academic Publishers,1998.
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[16]Jiao R J,Tseng M M.On equilibrium solutions to joint optimization problems in engineering design[J].CIRP AnnalsManufacturing Technology,2013(62):155-158.
[17]Ren J,Bian Y W,Xu X Y,et al.Allocation of product-related carbon emission abatement target in a make-to-order supply chain[J].Computers&Industrial Engineering.2015(80):181-194.
[18]Luo L.Product line design for consumer durables:an integrated marketing and engineering approach[J].Journal of Marketing Research,2011,2(16):128-139.
[19]刘琦铀,张成科,李铁克.基于自适应免疫遗传算法的IPPS问题研究[J].工业工程与管理,2015,20(2):46-53.
[20]郭云涛,陈志,白思俊.转移资源受限多项目调度的改进量子遗传算法[J].工业工程与管理,2014(3):33-39.
[2]周济.智能制造——“中国制造2025”的主攻方向[J].中国机械工程,2015,26(17):2273-2284.
[3]马常松,陈旭,罗振宇,等.随机需求下考虑低碳政策规制的企业生产策略[J].控制与决策,2015,30(6):969-976.
[4]Letmathe P,Balakrishnan N.Environmental consideration on the optimal product mix[J].European J of Operational Research,2005,167(2):398-412.
[5]Arslanv M C,Turkay M.EOQ revisited with sustainability considerations[J].Foundations of Computing and Decision Sciences,2013,38(4):223-249.
[6]Song J P.Leng M.Analysis of the single-period problem under carbon emissions policies[J].Int Series in Operations Research&Management Science,2012,176(2):297-313.
[7]赵道致,原白云,夏良杰,等.碳排放约束下考虑制造商竞争的供应链动态博弈[J].工业工程与管理,2014,19(1):65-71.
[8]Hoen K M R,Tan T,Fransoo J C,et al.Effect of carbon emission regulations on transport mode selection in supply chains[Z].Eindhoven:Eindhoven University of Technology,2010.
[9]Jiang Y,Klabjany D.Optimal emissions reduction investment under greenhouse gas emissions regulations[D].Evanston:Northwestern University,2012.
[10]Winfried J S.AStackelberg-Nash model for new product design[J].OR Spectrum,2010(32):21-48.
[11]Jiao J.Zhang Y.Product portfolio planning with customerengineering interaction[J].HE Transactions,2005,37(9):801-814.
[12]Luh Y P,Chu C H,Pan C C.Data management of green product development with generic modularized product architecture[J].Computers in Industry,2010,61(3):223-234.
[13]Christiansen S,Patriksson M,Wynter L.Stochastic bilevel programming in structural optimization[J].Structural and Multidisciplinary Optimization,2001,21(5):361-371.
[14]Bard J F.Practical Klevel Optimization:Algorithms and Applications[M].Dordrecht:Kluwer Academic Publishers,1998.
[15]Kreng V B.Lee T P.Modular product design with grouping genetic algorithm-a case study[J].Computer&Industrial Engineering,2004,46(4):443-460.
[16]Jiao R J,Tseng M M.On equilibrium solutions to joint optimization problems in engineering design[J].CIRP AnnalsManufacturing Technology,2013(62):155-158.
[17]Ren J,Bian Y W,Xu X Y,et al.Allocation of product-related carbon emission abatement target in a make-to-order supply chain[J].Computers&Industrial Engineering.2015(80):181-194.
[18]Luo L.Product line design for consumer durables:an integrated marketing and engineering approach[J].Journal of Marketing Research,2011,2(16):128-139.
[19]刘琦铀,张成科,李铁克.基于自适应免疫遗传算法的IPPS问题研究[J].工业工程与管理,2015,20(2):46-53.
[20]郭云涛,陈志,白思俊.转移资源受限多项目调度的改进量子遗传算法[J].工业工程与管理,2014(3):33-39.