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集装箱卡车运输问题的基于图的建模方法

Graph-based modeling method for container truck transportation problems

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【作者】 张瑞友汪定伟尹原永

【Author】 ZHANG Rui-you~1,WANG Ding-wei~1,YUN Won Young~2 (1.College of Information Science and Engineering,State Key Laboratory of Synthetical Automation for Process Industry (Northeastern University),Northeastern University,Shenyang 110819,China;2.Department of Industrial Engineering,Pusan National University,Busan 609-735,Republic of Korea)

【机构】 东北大学信息科学与工程学院流程工业综合自动化国家重点实验室釜山国立大学工业工程系

【摘要】 对港口和发货人/收货人之间的集装箱卡车运输问题给出了基于图的建模方法.该图不仅可以描述进出口空箱或满箱的运输,而且可以描述空集装箱作为运输资源的属性.这种图将确定的活动描述为顶点,将不确定的活动描述为弧,称为确定活动在顶点上的图(DAOV图).基于这种方法,建立了集装箱卡车运输问题的基本情形、多堆场多港口情形以及堆场上的空箱数目给定情形的数学模型;相应问题被描述为带时间窗的多旅行商问题(m-TSPTW)、多堆场的m-TSPTW以及带资源约束的m-TSPTW.而且这种方法可以扩展到集装箱卡车运输问题的更一般情形,这体现出该建模方法的有效性.

【Abstract】 A graph-based modeling method of container truck transportation problems between terminals and final shippers/receivers was proposed in this paper.The graph can formulate not only the transportation of import/export full/empty containers,but also the transportation resource attribute of empty containers. The graph denotes determinate activities with vertexes and denotes indeterminate activities with arcs.Therefore,it is named as determinate-activities-on-vertexes(DAOV) graph.Based on the proposed graph,the basic case,multi-depot multi-terminal case,and the case with given number of empty containers on depots,of the container truck transportation problems were mathematically modeled.They fall into the multiple traveling salesman problem with time windows(m-TSPTW),multi-depot m-TSPTW,and m-TSPTW with resource constraints,respectively.Furthermore,the modeling method can be extended to more general cases of the problems,which indicates the validity of the presented graph-based modeling method.

【基金】 中央高校基本科研业务费专项资金(N090304012);国家自然科学基金(71001019,70931001,60821063,71021061)
  • 【文献出处】 系统工程理论与实践 ,Systems Engineering-Theory & Practice , 编辑部邮箱 ,2011年08期
  • 【分类号】U492.334
  • 【被引频次】15
  • 【下载频次】610
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