船舶分段建造过程中的资源调度优化研究
详细信息    本馆镜像全文|  推荐本文 |  |   获取CNKI官网全文
摘要
在现代造船模式下,船体分段建造过程是整个造船的瓶颈,其生产周期长,生产过程中的资源约束多。优化调度分段建造中各类资源,合理地计划和控制其生产建造过程,是缩短船舶建造周期、提高我国造船业竞争力的关键因素之一。
     分段建造过程可以分解为车间建造成型、堆场修补打磨以及过程中的运输。而分段建造与一般工件生产的最大不同在于其对空间资源的需求,如对建造空间、堆放空间和运输空间的需求等。此外,负责建造分段的劳务队和负责运输分段的平板车也属于分段建造过程中的核心资源。基于此,本文具体的研究内容包括以下几个方面:
     (1)针对分段建造车间的空间资源需求,分析了船体划分分段的特性,提出分段的空间约束处理方法。基于三维时空调度模型,引用三维装箱中一种较新的定位算法并进行改进,提出了一种同时优化时间和空间资源的分段建造空间调度优化算法。
     (2)针对负责建造分段的劳务队资源受限,而各劳务队的工艺水平和能力的差异导致分段所需的建造周期偏离标准周期从而带有不确定性的特点,综合考虑了空间利用率和劳务队负荷平衡两个优化目标,构建了分段建造车间空间调度和劳务队分配的组合优化模型,运用遗传算法与时空定位算法,得到较优的空间及劳务队的调度计划。
     (3)考虑到分段堆场空间资源的不合理利用是造成厂区内交通阻塞的重要因素之一。研究了堆场上分段的堆位选择、分段临时移动等问题,并在此基础上,以最少分段临时移动次数为优化目标,以满足分段存取时间、堆放空间和运输空间的需求等为约束,建立了分段堆场调度模型,并提出基于禁忌搜索的优化算法。
     (4)为了实现分段在堆场和场间的运输,研究了存在多车运一物的运输调度问题。基于平板车的数量和运输能力的限制,以最少物流时间为优化目标,考虑了平板车空载行驶时间、任务等待时间以及任务延迟时间,构建了分段运输的调度优化模型和混合优化算法。
     (5)结合国内船舶建造企业的分段建造管理实际,构建分段建造管理信息系统。以某企业的分段建造过程中空间等资源的调度优化为例,验证了算法对解决实际生产调度问题的有效性。
In moden shipbuilding mode, ship block assembly process has a longproduction time and multi-resource constraints, which is the bottleneck of theentire shipbuilding cycle. Thus research on how to optimally schedule therelated resources during the ship block assembly process would help tomanage and control the shipbuilding process, shorten the shipbuilding cycle.It is a key to improving the productivety and competitiveness of shipbuildingenterprises.
     The ship block assembly process can be viewed as including: assemblingin ship block assembly workshop, repairing in ship block storage yard andship block transpoortation therebetween. The ship block assembly process isdifferent from normal production process because of the requirement ofspatial resource, such as, assembly space, storage space and the space fortransportation. Besides, working teams for assembling work and flattransporters for transporting work are also very important resources. Withrespect to the above analysis, the main contents of this dissertation areoutlined as follows:
     (1) For the spacial resource requirement in ship block assemblyworkshop, analyze on the characteristics of shape of ship blocks, and proposea method to handle spatial cosntraint. Based on the three dimensionaltime-spacial model, a new positioning algorithm is proposed and improvedreferencing to the three-dimensional packing algorithm. The objective of thealgorithm is to optimize the time and spacial resources in ship block assembly workshop simultaneously.
     (2) For the limited resource of working teams which are the units of shipblock assembly work, and the differences in the technology and the ability ofeach working team would lead to the asssembly time of ship block uncertain,a combinational mathematical model of the spatial scheduling and theworking team assignment is built, with the multi objectives on both thetime-spacial optimization and the workforce balance. A method combininggenetic algorithm and the time-spacial positioning algorithm described aboveis proposed for a better scheduling plan in ship block assembly workshop.
     (3) One of the key factors that cause traffic jams in shipbuildingenterprises is the unresonable spacial resource utilizaiotn in ship blockstorage yard. With the objective on minimizing the block temporarymovements in the ship block storage yard, research on the locationassignment algorithm, the temorary movement strategy and the ship blocksequence optimization is made in order to meet the time and spacialrequirements of storing ship blocks and the space and path contraints of flattransporters.
     (4) In order to transport ship blocks among different locations, thetransportation scheduling problem considering multi cars for one object at atime is researched. Since the quantity and ability of flat transporters arelimited, an optimization scheduling model and method are proposed with theobjecitve to minimize the logistics time, which includes the nun-load time offlat transporters, the waiting time and the delay time of ship block tasks.
     (5) Considering the practice of ship block assembly management inshipbuilding enterprises of our country, a ship block scheduling system isconstructed. Take the data of the ship block assemly process in one of the shipbuilding enterprises for example, the resource scheduling methods areillustrated to meet the actual requirement of the shipbuilding enterprise.
引文
[1]刘郑国,船舶工业调整和振兴规划[J],经济,2009.11:22-31.
    [2] Kolisch, R. and Hess, K., Efficient methods for scheduling make-to-order assemblies underresource, assembly area and part availability constraints[J]. International Journal of ProductionResearch,2000.38(1):207-228.
    [3]陈强,中心制造船模式的研究与与应用[博士论文].2001.哈尔滨工程大学.
    [4]徐学光,先进制造技术与造船业的发展[J].自然杂志,1999.21(2):92-98.
    [5]王承文,现代造船模式研究[博士论文].2006.哈尔滨工程大学.
    [6] Lee, K.J., Lee, J.K., and Choi, S.Y., A spatial scheduling system and its application to shipbuilding:DAS-CURVE[J]. Expert Systems with Applications,1996.10(3-4):311-324.
    [7] Lee, J., Lee, K.J., Park, H.K., et al., Developing scheduling systems for Daewoo Shipbuilding:DAS project[J]. European Journal of Operational Research,1997.97(2):380-395.
    [8] Kim, H., Kang, J., and Park, S., Scheduling of Shipyard Block Assembly Process using ConstraintSatisfaction Problem[J]. Asia Pacific Management Review (2002)7(1):119-138.
    [9] Ryu, C., Shin, J.G., Kwon, O.H., et al., Development of integrated and interactive spatial planningsystem of assembly blocks in shipbuilding[J]. International Journal of Computer IntegratedManufacturing,2008.21(8):911-922.
    [10] Shin, J.G., Kwon, O.H., and Ryu, C., Heuristic and metaheuristic spatial planning of assemblyblocks with process schedules in an assembly shop using differential evolution[J]. ProductionPlanning and Control,2008.19(6):605-615.
    [11] Cho, K.K., Chung, K.H., Park, C., et al., A spatial scheduling system for block painting process inshipbuilding[J]. CIRP Annals-Manufacturing Technology,2001.50(1):339-342.
    [12] Cho, K.K., Oh, J.S., Ryu, K.R., et al., An integrated process planning and scheduling system forblock assembly in shipbuilding[J]. CIRP Annals-Manufacturing Technology,1998.47(1):419-x80.
    [13]赵明华,面向船体曲面分段建造的空间调度及调整算法研究[硕士论文].2010.上海交通大学.
    [14]赵明华,蒋祖华,针对异常的船体曲面分段作业计划自动调整算法[J].上海交通大学学报,2010(3):428-432.
    [15] Park, K., Lee, K., Park, S., et al., Modeling and solving the spatial block scheduling problem in ashipbuilding company[J]. Computers and Industrial Engineering,1996.30(3):357-364.
    [16]刘建峰,基于PWBS船体建造运作策略研究[博士论文].2000.上海交通大学.
    [17]刘建峰,应长春,船体分段制造日程计划的模拟与优化[J].中国造船,2000.41(4):13-21.
    [18]郭美娜,李波,基于树搜索的一种空间调度算法[J].计算机工程与应用,2007.43(14):180-183.
    [19] Li, B. and Guo, M. A dynamic spatial layout approach with backtracking strategy[C]. Proceedings-4th International Conference on Natural Computation, Jinan, China,2008.7:327-331.
    [20] Lee, J.K., Lee, K.J., Hong, J.S., et al., DAS intelligent scheduling systems for shipbuilding[J]. AIMagazine,1995.16(4):78-94.
    [21] Loranzo-Perez, T., Spatial planning: a configuration space approach[J]. IEEE Transactions onComputers,1983. C-32(2):108-120.
    [22] Zhu, D. and Latombe, J.C., Mechanization of spatial reasoning for automatic pipe layout design[J].Artificial Intelligence for Engineering, Design, Analysis and Manufacturing,1991(5):1-20.
    [23] Lee, K.J., Sufficient search space for spatial expert systems[J]. Expert Systems with Applications,2000.19(1):1-8.
    [24] Park, C., Chung, K.H., Cho, K.K., et al., A spatial scheduling application at the block paint shop inshipbuilding: The HYPOS project[J]. Production Planning and Control,2002.13(4):342-354.
    [25] Zheng, J., Jiang, Z. B., Chen, Q., et al., Spatial scheduling algorithm minimising makespan at blockassembly shop in shipbuilding[J]. International Journal of Production Research,2011.49(8):2351-2371.
    [26]郑俊丽,江志斌,陈强等,典型工艺和特殊布位约束下的船舶模块空间调度算法[J].上海交通大学学报,2009.43(12):1963-1967.
    [27]李波,王秀峰,赵志彦,一种基于遗传算法的最优空间布置方法[J].系统仿真学报,2004:215-221.
    [28] Koh, S.G., Eom, C.H., and Jang, J.H., Block assembly scheduling in shipbuilding company[C].Proceedings of the37th International Conference on Computers and Industrial Engineering,Alexandria, Egypt,2007:1365-1370.
    [29] Raj, P. and Srivastava, R.K., Analytical and heuristic approaches for solving the spatial schedulingproblem[C].2007IEEE International Conference on Industrial Engineering and EngineeringManagement.2007:1093-1097.
    [30] Raj, P. and Srivastava, R.K., Soving spatial scheduling problem: an anaylitical approach[C].Proceedings of the37th International Conference on Computers and Industrial Engineering,2007.
    [31] Bay, M., Crama, Y., Langer, Y., et al., Space and time allocation in a shipyard assembly hall[J].Annals of Operations Research,2008:1-20.
    [32] Zheng, J.L., Jiang, Z.B., Chen Q., Block spatial scheduling modelling and application inshipbuilding[J]. International Journal of Production Research,2012.50(10):2744-2756.
    [33]郑俊丽,陈峰,江志斌等,缩短最大完工时间的船舶分段空间调度算法[J].上海交通大学学报,2009.43(4):663-668.
    [34]张志英,王蕾,江志斌等,面向船体曲面分段建造的空间调度方法.上海交通大学学报,2008.42(4):569-573.
    [35]张志英,曾燕慧,陈洁,基于多规则的船体分段建造空间调度方法[J].工业工程,2011.14(3):96-100.
    [36]张志英,杨克开,于瑾维等,改进粒子群算法的动态空间调度算法[J].哈尔滨工程学报,2009.30(12):1344-1350.
    [37]王蕾,空间调度及其在船体曲面分段建造计划中的应用[硕士论文].2009.上海交通大学.
    [38] Zhang Z.Y. and Chen, J., Solving the spatial scheduling problem: a two-stage approach[J].International Journal of Production Research,2012.50(10):2732-2743.
    [39]张志英,张风薇,加工时间不确定的船体分段空间调度方法[J].哈尔滨工程大学学报,2012.2:32-37.
    [40]胡仕成,造船分段作业场所配置问题研究[J].计算机集成制造系统,2011:605-615.
    [41] Zhuo, L., Chua, D.K.H., and Wee, K.H., A Simulation Model for Spatial Scheduling of DynamicBlock Assembly in Shipbuilding[J]. Journal of Engineering, Project, and Production Management,2011.1(1):3-12.
    [42] Zhuo, L., Chua, D.K.H., and Wee, K.H., Scheduling dynamic block assembly in shipbuildingthrough hybrid simulation and spatial optimisation[J]. International Journal of Production Research,2012.50(20):5986-6004.
    [43]郭美娜,离散型企业动态空间布局调度研究[硕士论文].2007.天津大学.
    [44]张志英,徐晨,毛祖杰等,基于规则的船舶分段动态空间调度方法[J].上海交通大学学报,2010.44(8):1019-1025.
    [45] Koh, S., Eom, C., Jang J.H., et al., An improved spatial scheduling algorithm for block assemblyshop in shipbuilding company[C].3rd International Conference on Innovative ComputingInformation and Control, ICICIC'08, Dalian, Liaoning, China,2008:253.
    [46] Park, C., Seo, J., Kim, J., et al., Assembly block storage location assignment at a shipyard: A caseof Hyundai Heavy Industries[J]. Production Planning and Control,2007.18(3):180-189.
    [47] Park, C. and Seo, J., Assembly block storage location assignment problem: Revisited[J]. ProductionPlanning and Control,2009.20(3):216-226.
    [48] Park, C. and Seo, J., Mathematical modeling and solving procedure of the planar storage locationassignment problem[J]. Computers and Industrial Engineering,2009.57(3):1062-1071.
    [49] Park, C. and Seo, J., Comparing heuristic algorithms of the planar storage location assignmentproblem[J]. Transportation Research Part E: Logistics and Transportation Review,2010.46(1):171-185.
    [50]张志英,申钢,刘祥瑞等,基于最短路算法的船舶分段堆场调度[J].计算机集成制造系统,2012.18(9):1982-1990.
    [51] Lee, W.S., Lim, W.I., and Koo, P.H. Transporter scheduling based on a network flow model under adynamic block transportation environment[C]. International Conference on Computers andIndustrial Engineering, Troyes, France,2009:311-316
    [52] Lee, W.S., Lim, W., Koo, P.H., et al. Transporter scheduling under dynamic block transportationenvironment[C]. Innovative Computing Information and Control, Dalian, Liaoning, China,2008:258.
    [53] Roh, M.I. and Cha, J.H., A block transportation scheduling system considering a minimisation oftravel distance without loading of and interference between multiple transporters[J]. InternationalJournal of Production Research,2011.49(11):3231-3250.
    [54] Kim, B.S., and Joo, C.M., Ant colony optimisation with random selection for block transportationscheduling with heterogeneous transporters in a shipyard[J]. International Journal of ProductionResearch,2012,50(24):7229-7241.
    [55] Li, K.Q. and Cheng, K.H., On three-dimensional packing[J]. SIAM Journal on Computing,1990.19(5):847-867.
    [56] Dresden, G.S., Algorithms for the container loading problem[J]. Operations Research Proceedings.Berlin,1991:445-452.
    [57] Wenbin Zhu, Hu Qind, Andrew Lim et.al, A two-stage tabu search algorithm with enhancedpacking heuristics for the3L-CVRP and M3L-CVRP[J]. Computers and Operations Research,2012.39(9):2178-2195.
    [58] George, J.A. and Robinson, D.F., A heuristic for packing boxes into a container[J]. Computers andOperations Research,1980.7(3):147-156.
    [59] Bischoff, E.E. and Marriott, M.D., A comparative evaluation of heuristics for container loading[J].European Journal of Operational Research,1990.44(2):267-276.
    [60] Lodi, A., Martello, S., and Vigo, D., Heuristic and metaheuristic approaches for a class oftwo-dimensional bin packing problems[J]. INFORMS Journal on Computing,1999.11(4):345-357.
    [61] Lodi, A., Martello, S., and Vigo, D., TSpack: A unified tabu search code for multi-dimensional binpacking problems[J]. Annals of Operations Research,2004.131(1-4):203-213.
    [62] Lodi, A., Martello, S., and Vigo, D., Heuristic algorithms for the three-dimensional bin packingproblem[J]. European Journal of Operational Research,2002.141(2):410-420.
    [63] Faina, L., Global optimization algorithm for the three-dimensional packing problem[J]. EuropeanJournal of Operational Research,2000.126(2):340-354.
    [64] Martello, S., Pisinger, D., and Vigo, D., Three-dimensional bin packing problem[J]. OperationsResearch,2000.48(2):256-267.
    [65] Crainic, T.G., Perboli, G., and Tadei, R., Extreme point-based heuristics for three-dimensional binpacking[J]. INFORMS Journal on Computing,2008.20(3):368-384.
    [66] Imai, A., Sasaki, K., Nishimura, E., et al., Multi-objective simultaneous stowage and load planningfor a container ship with container rehandle in yard stacks[J]. European Journal of OperationalResearch,2006.171(2):373-389.
    [67] Kim, K.H., Park, Y.M., and Ryu, K.R., Deriving decision rules to locate export containers incontainer yards[J]. European Journal of Operational Research,2000.124(1):89-101.
    [68] Kim, K.H. and Park, K.T., A note on a dynamic space-allocation method for outbound containers[J].European Journal of Operational Research,2003.148(1):92-101.
    [69] Kim, K.H. and Hong, G.P., A heuristic rule for relocating blocks[J]. Computers and OperationsResearch,2006.33(4):940-954.
    [70] Lee, Y. and Chao, S.L., A neighborhood search heuristic for pre-marshalling export containers[J].European Journal of Operational Research,2009.196(2):468-475.
    [71] Chen, L., Langevin, A., and Riopel, D., The storage location assignment and interleaving problemin an automated storage/retrieval system with shared storage[J]. International Journal of ProductionResearch,2010.48(4):991-1011.
    [72] Forster, F. and Bortfeldt, A., A tree search procedure for the container relocation problem[J].Computers&Operations Research,2011.39(2):299-309.
    [73] Saurí, S. and Martín, E., Space allocating strategies for improving import yard performance atmarine terminals[J]. Transportation Research Part E: Logistics and Transportation Review,2011.2:1752-1773.
    [74] Guo, X., Huang, S.Y., Hsu, W.J., et al., Dynamic yard crane dispatching in container terminals withpredicted vehicle arrival information[J]. Advanced Engineering Informatics,2011.25(3):472-484.
    [75] Meisel, F. and Wichmann, M., Container sequencing for quay cranes with internal reshuffles[J]. ORSpectrum,2010.32(3):569-591.
    [76] Williams, D.L., Finke, D.A., Medeiros, D.J., et al., Discrete simulation development for a proposedshipyard steel processing facility[C]. Proceedings of the33nd conference on Winter simulation.Arlington, Virginia,2001:882-887.
    [77] Sung, T.C., Weng, W.C., and Yang, C.T., A two-stage optimization of piece arrangement for thecutting problem in shipbuilding[J]. Journal of Marine Science and Technology,2004.12(3):175-182.
    [78] Park, C., Park, J.C., Byeon, G.G., et al., Steel stock management on the stockyard operations inshipbuilding: a case of Hyundai Heavy Industries[J]. Production Planning&Control,2006.17(1):1-12.
    [79] Reyes, M.C.T., De Melo, S.E.G., and Pinheiro, C.T.D.S. Simulation model for analysis of flow ofsteel in shipbuilding shipyards[C]. International Conference on Computer Applications inShipbuilding2009, ICCAS, Shanghai, China,2009.3:1637-1640.
    [80]郑俊丽,船舶分段制造车间的模块空间调度模型及算法[博士论文].2011.上海交通大学.
    [81] Zheng, J.L., Jiang, Z.B., Chen, Q., et al., Spatial scheduling algorithm minimizing makespan atblock assembly shop in shipbuilding[J]. International Journal of Production Research,2011.49(8):2351-2371.
    [82] Zheng, J., Jiang, Z.B., Chen, F., et al. Minimizing makespan at module assembly shop inshipbuilding[C]. Proceedings of2008IEEE International Conference on Service Operations andLogistics, and Informatics. Beijing, China,2008:1794-1799.
    [83] Kang, H.J. and Park, J.Y., Work planning using genetic algorithm and3-D simulation at asubassembly line of shipyard[C]. OCEANS '04. MTTS/IEEE TECHNO-OCEAN '04.2004.1:218-222
    [84] Lee, K., Shin, J.G., and Ryu, C., Development of simulation-based production execution system ina shipyard: A case study for a panel block assembly shop[J]. Production Planning and Control,2009.20(8):750-768.
    [85] Cho, K.K., Kwang, R.R., Jeong, S.O., et al., Computer aided process planning system for blockassembly shop using CBR[C]. Proceedings of the199624th NAMRC Conference; Ann Arbor, MI,USA,1996:6
    [86] Cho, K.K., Lee, S.H., and Chung, D.S., An automatic process-planning system for block assemblyin shipbuilding[J]. CIRP Annals-Manufacturing Technology,1996.45(1):41-44.
    [87] Cho, K.K., Sun, J.G., and Oh, J.S., Automated welding operation planning system for blockassembly in shipbuilding[J]. International Journal of Production Economics,1999.60:203-209.
    [88] Seo, Y., Sheen, D., and Kim, T., Block assembly planning in shipbuilding using case-basedreasoning[J]. Expert Systems with Applications,2007.32(1):245-253.
    [89] Chung, K.H., Cho, K.K., Baek, T.H., et al., An operation scheduling system for paint shop in theshipbuilding industry[J]. International Journal of Industrial Engineering: Theory Applications andPractice,2001.8(2):91-104.
    [90] Varghese, R. and Yoon, D.Y., Dynamic spatial block arrangement scheduling in shipbuildingindustry using genetic algorithm[C].3rd IEEE International Conference on Industrial Informatics,INDIN,2005:444-449.
    [91] Varghese, R. and Yoon, D.Y., Spatial block arrangement scheduling in shipbuilding industry usinggenetic algorithm for obtaining solution for anticipated bottleneck[C]. Proceedings of theInternational Offshore and Polar Engineering Conference,2005:774-779.
    [92] Varghese, R. and Yoon, D.Y. Forward scheduling approach applied in pre-erection area of ashipyard[J]. Proceedings of the International Offshore and Polar Engineering Conference. SanFrancisco, California, USA,2006:325-329.
    [93] Varghese, R. and Yoon, D.Y., Shipbuilding erection network optimization: A TSP method[J].Journal of Ship Production,2006.22(3):139-146.
    [94] Yoon, D.Y., Varghese, R., and Yang, J., Genetic algorithm based technique for erection sequencegenerator in shipbuilding[J]. Ships and Offshore Structures,2006.1(4):289-299.
    [95] Yoon, D.Y. and Varghese, R., Looking-forward scheduling approach applied in Pre-erection area ofa shipyard[J]. Journal of Ship Production,2007.23(1):30-35.
    [96] Finke, D.A., Ligetti, C.B., Trahand, M.T., et al., Shipyard space allocation and scheduling[J].Journal of Ship Production,2007.23(4):197-201.
    [97] Finke, D.A., Ligetti, C.B., Trahand, M.T., et al., Activity-based spatial scheduling[J]. Journal ofShip Production,2008.24(1):12-16.
    [98] Koh, S. and Jang, J., GA-based Spatial Scheduling Algorithm for Mega-block Assembly Yard inShipbuilding Company[C]. Proceedings of the9th Asia Pasific Industrial Engineering&Management Systems Conference, Nusa Dua, Bali, INDONESIA,2008:890-898
    [99] Roh, M.I. and Lee, K.Y., Optimal scheduling of block lifting in consideration of the minimizationof traveling distance while unloaded and wire and shackle replacement of a gantry crane[J]. Journalof Marine Science and Technology,2010.15(2):190-200.
    [100] Woo, J.H., Song, Y.J., Kang, Y.W., et al., Development of the decision-making system for the shipblock logistics based on the simulation[J]. Journal of Ship Production and Design,2010.26(4):290-300.
    [101] Park, C.K. and Seo, J.Y., A GRASP approach to transporter scheduling and routing at a shipyard[J].Computers and Industrial Engineering,2012ch.63(2):390-399.
    [102] Korhan, K. and Mustafa, M.I., A hybrid genetic algorithm for packing in3D with deepest bottomleft with fill method[J]. ADVIS,2004.3261:441-450.
    [103] Cheng, T. and Sin, C., A state-of-the-art review of parallel-machine scheduling research[J].European Journal of Operational Research,1990.47(3):271-292.
    [104] Chen, Z.L. and Powell, W.B., Solving parallel machine scheduling problems by columngeneration[J]. INFORMS Journal on Computing,1999.11(1):78-94.
    [105]金玉兰,生产系统有限时间区间弹性周期预防性维修策略研究[博士论文].2009.上海交通大学.
    [106] Glover, F., Tabu search, partⅠ. ORSA Journal of Computing[J],1989.1:190-206.
    [107] Glover, F., Tabu search, partⅡ. ORSA Journal of Computing[J],1990.2(1):4-32.
    [108] Chen, L., Bostel, N., Dejax, P., et al., A tabu search algorithm for the integrated scheduling problemof container handling systems in a maritime terminal[J]. European Journal of Operational Research,2007.181(1):40-58.
    [109] Chen, L., Langevin, A., and Riopel, D., A tabu search algorithm for the relocation problem in awarehousing system[J]. International Journal of Production Economics,2011.129(1):147-156.
    [110]陈伟,动力模块车组的运载规划与虚拟驾驶[博士论文].2012.上海交通大学.
    [111]邓宇佑,求解医院运输部门运输中心个数最佳化之研究[硕士论文],1991.成功大学.
    [112] Savelsbergh, M., Local Search for Routing Problems with Time Windows[J]. Annals of OperationsResearch,1985.4:285-305.

© 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