文章对异车型混合集送的辆路径问题(Vehicle Routing Problem with heterogeneous fleet,backhaul and mixed-load,VRPHBM)进行研究,提出了一种基于多属性标签的蚁群系统算法(Multi-Label based Ant Colony System简称MLACS)。该算法利...文章对异车型混合集送的辆路径问题(Vehicle Routing Problem with heterogeneous fleet,backhaul and mixed-load,VRPHBM)进行研究,提出了一种基于多属性标签的蚁群系统算法(Multi-Label based Ant Colony System简称MLACS)。该算法利用面向对象理念,分别对客户、车辆及其行驶路径构建多属性标签,再通过蚁群算法的搜索规则对客户和车辆标签进行匹配,从而得出满意的车辆行驶路径。通过Solomon标准及其扩展算例和实际案例的验证表明,MLACS具有快速、灵活和稳定等特点,能够很好地解决VRPTW、VRPHBM以及多限制条件的实际应用问题。与本文列出的研究同类型问题文献的其他几种算法相比,MLACS算法在运算时间以及计算结果上明显具有优势,是求解该类问题的有效算法。展开更多
In this paper, for multiple attribute decision-making problem in which attribute values are interval grey numbers and some of them are null values, a decision model based on grey rough sets integration with incomplete...In this paper, for multiple attribute decision-making problem in which attribute values are interval grey numbers and some of them are null values, a decision model based on grey rough sets integration with incomplete information is proposed. We put forward incidence degree coefficient formula for grey interval, by information entropy theory and analysis technique, the method and principle is presented to fill up null values. We also establish the method of grey interval incidence cluster. Because grey system theory and Rough set theory are complementary each other, decision table with preference information is obtained by the result of grey incidence cluster. An algorithm for inducing decision rules based on rough set theory and the dominance relationship is presented. In some extent, this algorithm can deal with decision-making problem in which the attribute values are interval grey numbers and some of them are null values. Contrasted with classical model of cluster decision-making, the algorithm has an advantage of flexibility and compatibility to new information.展开更多
文摘文章对异车型混合集送的辆路径问题(Vehicle Routing Problem with heterogeneous fleet,backhaul and mixed-load,VRPHBM)进行研究,提出了一种基于多属性标签的蚁群系统算法(Multi-Label based Ant Colony System简称MLACS)。该算法利用面向对象理念,分别对客户、车辆及其行驶路径构建多属性标签,再通过蚁群算法的搜索规则对客户和车辆标签进行匹配,从而得出满意的车辆行驶路径。通过Solomon标准及其扩展算例和实际案例的验证表明,MLACS具有快速、灵活和稳定等特点,能够很好地解决VRPTW、VRPHBM以及多限制条件的实际应用问题。与本文列出的研究同类型问题文献的其他几种算法相比,MLACS算法在运算时间以及计算结果上明显具有优势,是求解该类问题的有效算法。
基金Supported by the NSF of Henan Province(082300410040)Supported by the NSF of Zhumadian City(087006)
文摘In this paper, for multiple attribute decision-making problem in which attribute values are interval grey numbers and some of them are null values, a decision model based on grey rough sets integration with incomplete information is proposed. We put forward incidence degree coefficient formula for grey interval, by information entropy theory and analysis technique, the method and principle is presented to fill up null values. We also establish the method of grey interval incidence cluster. Because grey system theory and Rough set theory are complementary each other, decision table with preference information is obtained by the result of grey incidence cluster. An algorithm for inducing decision rules based on rough set theory and the dominance relationship is presented. In some extent, this algorithm can deal with decision-making problem in which the attribute values are interval grey numbers and some of them are null values. Contrasted with classical model of cluster decision-making, the algorithm has an advantage of flexibility and compatibility to new information.