飞机空中加油方案研究
Study on Aircraft In-Flight Refueling Scheme
DOI: 10.12677/AAM.2020.99160, PDF,   
作者: 李 浩, 朱雯雯:南京工业大学数理科学学院,江苏 南京;卢 洋:南京工业大学计算机科学与技术学院,江苏 南京
关键词: 线性规划多目标规划Lingo软件Linear Programming Multi-Objective Programming Lingo
摘要: 本文研究救援飞机采用空中加油的方式来完成救援任务,分别建立了线性规划模型及多目标规划模型,所建模型在保证救援飞机完成任务的前提下,在降低成本和提高成功率方面具有重要的现实意义。保证救援人员能够完成任务的关键是加油量的充足。本文考虑到空中加油机不同的分配和加油方式对飞机加油量的影响,将加油机分为伴随机和接应机,并设计了两种方案。又考虑到飞机完成该任务的成本,建立了以加油机航行距离最短为目标的线性规划模型。用Lingo软件进行求解,对比两种方案的最优情况得应该按照方案二中2架伴随机和1架接应机的方案。
Abstract: In this article, the rescue aircraft is studied to complete the rescue mission by in-flight refueling. The linear programming model and the multi-objective programming model are respectively established. The model has important practical significance in reducing the cost and increasing the success rate under the premise of ensuring the rescue aircraft to complete the mission. The key to ensuring that rescuers can get the job done is enough refueling. Considering the influence of different distribution and refueling methods on the amount of refueling, the air refueling tankers are divided into adjoint aircrafts and response aircrafts, and two schemes are designed. Considering the cost of completing the task, a linear programming model aiming at the shortest flying distance of tanker is established. Lingo software is used to solve the problem, and the optimal situation of the two schemes should be according to the scheme of 2 adjoint machines and 1 auxiliary machine in Scheme 2.
文章引用:李浩, 朱雯雯, 卢洋. 飞机空中加油方案研究[J]. 应用数学进展, 2020, 9(9): 1351-1357. https://doi.org/10.12677/AAM.2020.99160

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