摘要
通过建立最短路径模型和0—1规划模型,针对车载导弹连续两波次发射任务给出了具体的发射位点分配及机动路线方案,使得作战团队完成两个波次发射任务的整体暴露时间最短,解决了车载导弹部署及机动运输问题.此外,我们构建了合理的评价指标体系并利用因子分析法对路网中的道路节点的重要性进行评估,并量化分析该路网中最有可能遭受到敌方攻击破坏的3个关键的道路节点.最后,建立了分散机动运输模型,减少了关键节点对行军方案的影响,完善了模型.
In this paper, through the establishment of the shortest path model and 0-1 programming model, for two consecutive missions give the specific allocation of emission sites and mobile route scheme, making the finished two overall wave launch exposure in the shortest time. It solves the vehicle missile deployment and motor transport problems. In addition, we evaluate the importance of road nodes in the road network by constructing a reasonable evaluation index system and using factor analysis to quantify the 3 critical road nodes which are most likely to be attacked by enemy. Finally, we establish a decentralized mobile transport model to reduce the influence of key nodes on the marching scheme, which improved the model.
作者
汪宁丽
王利平
马豪杰
李震林
WANG Ning-li;WANG Li-ping;MA Hao-jie;LI Zhen-lin(College of Business Administration,Hunan University,Changsha,Hunan 410082,China;College of Mathematics and Econometrics,Hunan University,Changsha 410082,China;College of Finance and Statistics,Hunan University,Changsha 410082,China)
出处
《数学的实践与认识》
北大核心
2018年第15期247-254,共8页
Mathematics in Practice and Theory
关键词
多波次发射
最短暴露时间
最短路径模型
0—1规划模型
因子分析
multi-wave transmission
minimum exposure time
the shortest path model
0-1programming model
factor analysis