Adjacency‐based local top‐down search method for finding maximal efficient faces in multiple objective linear programming

It is well‐known that the efficient set of a multiobjective linear programming (MOLP) problem can be represented as a union of the maximal efficient faces of the feasible region. In this paper, we propose a method for finding all maximal efficient faces for an MOLP. The new method is based on a condition that all efficient vertices (short for the efficient extreme points and rays) for the MOLP have been found and it relies on the adjacency, affine independence and convexity results of efficient sets. The method uses a local top‐down search strategy to determine maximal efficient faces incident to every efficient vertex for finding maximal efficient faces of an MOLP problem. To our knowledge, the proposed method is the first top‐down search method that uses the adjacency property of the efficient set to find all maximal efficient faces. We discuss this and other advantages and disadvantages of the algorithm. We also discuss some computational experience we have had with our computer code for implementing the algorithm. This computational experience involved solving several MOLP problems with the code.     

Neighborhood search heuristics for selecting hierarchically well‐formulated subsets in polynomial regression

The importance of subset selection in multiple regression has been recognized for more than 40 years and, not surprisingly, a variety of exact and heuristic procedures have been proposed for choosing subsets of variables. In the case of polynomial regression, the subset selection problem is complicated by two issues: (1) the substantial growth in the number of candidate predictors, and (2) the desire to obtain hierarchically well‐formulated subsets that facilitate proper interpretation of the regression parameter estimates. The first of these issues creates the need for heuristic methods that can provide solutions in reasonable computation time; whereas the second requires innovative neighborhood search approaches that accommodate the hierarchical constraints. We developed tabu search and variable neighborhood search heuristics for subset selection in polynomial regression. These heuristics are applied to a classic data set from the literature and, subsequently, evaluated in a simulation study using synthetic data sets. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

基于改进遗传算法的平流层飞艇定点悬停控制(英文)

平流层飞艇定点悬停控制是飞艇应用领域的关键技术。该控制问题可以转化为非线性多目标优化问题来求解。遗传算法是解决现代非线性多目标优化问题的一种重要方法。但是基本遗传算法在解决定点悬停飞艇实际控制问题时,具有易陷入局部最优解、在遗传进化过程中随机性较强、搜索效率低下及耗时多等缺陷。通过借鉴并行遗传算法、模拟退火算法和向量评价遗传算法的基本思想,在基本遗传操作中添加切断算子和拼接算子,设计一种改进遗传算法来改善上述缺陷。仿真结果表明该方法是有效可行的。     

基于禁忌退火算法的巡航导弹航迹规划

针对巡航导弹航迹规划这个复杂的优化问题,一个禁忌退火混合优化算法被提出.首先,该算法是以基本模拟退火算法为基础.其次,为了加快该模拟退火算法的收敛速度,在恶化解的接受判断过程中,增加了一定动态的约束条件.最后,为了使最优解能够跳出局部最优的陷阱,使用了一个动态的禁忌表.仿真结果验证了该禁忌退火混合优化算法能够取得目标函数更优的航迹规划路径,从而有效提高巡航导弹的作战效能.     

LFM脉冲雷达距离维快速搜索处理算法

针对脉冲雷达近距离目标遮挡问题,从理论上分析了雷达最小作用距离不受限于脉冲宽度.在此基础上,以Chirp脉冲为例,提出了一种适合远近距离全程目标的快速搜索处理算法.该算法只需发射一种宽脉冲波形,而不必根据距离的变化改变脉宽,从而有效缩短了搜索时间,大大提高了搜索效率.仿真结果表明了理论分析的正确性和算法的有效性.     

A search game taking account of attributes of searching resources

This article deals with a two‐person zero‐sum game called a search allocation game (SAG), in which a searcher and a target participate as players. The searcher distributes his searching resources in a search space to detect the target. The effect of resources lasts a certain period of time and extends to some areas at a distance from the resources' dropped points. On the other hand, the target moves around in the search space to evade the searcher. In the history of search games, there has been little research covering the durability and reachability of searching resources. This article proposes two linear programming formulations to solve the SAG with durable and reachable resources, and at the same time provide an optimal strategy of distributing searching resources for the searcher and an optimal moving strategy for the target. Using examples, we will analyze the influences of two attributes of resources on optimal strategies. © 2007 Wiley Periodicals, Inc. Naval Research Logistics 2008     

射频识别系统的多目标识别-反碰撞算法

对多目标识别技术的二进制搜索算法、时隙ALOHA算法进行了剖析,并对ALOHA算法用概率论和数理统计的方法进行了深入的理论分析,得出要根据所设计的射频识别系统的特点合理采用各种算法方可得到良好的效果.该算法的实现对提高高速公路上自动收费系统、人员和物流管理等各领域的工作效率具有一定的指导意义.     

卫星任务调度问题的约束规划模型

卫星任务规划与调度是空间资源管理的重要内容之一,其目的在于为卫星系统的任务计划编制提供科学合理的决策手段与依据。卫星任务调度问题的重要特点在于,调度任务存在可见时间窗口约束。只有在可见时间窗口内,调度任务才可能执行并完成。在进行合理假设的基础上,建立卫星任务调度问题的约束规划模型。对基本禁忌搜索算法进行改进,提出了模型求解的变邻域禁忌搜索算法。应用结果表明,约束规划模型的建立与求解是合理的。     

基于激励机制的装备采办风险总量控制

针对装备采办中的风险总量控制,提出一种激励方式来提高承包商的积极性。在单目标风险控制模型的基础上,建立了多目标风险控制模型,推导出了激励机制下风险控制的最优合同公式。对激励机制中存在的两类错误进行了理论分析和实例验证,得出了两类错误对收益的影响,并在成本控制中得到了应用,有效地提高了装备采办的质量和效率,为军方决策者在装备采办中提供了合理的参考依据。     

智能搜救机器人在障碍地形的自主构型规划

为了解决带有辅助摆臂的智能搜救机器人自动规划构型以实现自主越障的难题,提出一种能够适应复杂地面形状的搜救机器人越障构型规划新方法,其核心是一种高适应性、高效率的机器人姿态预测算法。通过将地形表示为离散的点集,建立了搜救机器人的单侧姿态预测数学模型;进一步提出了快速求解该问题的算法,每秒可预测1 000～1 500个姿态。基于此,设计了机器人越障过程中状态、动作的评价指标,运用动态规划算法与滚动优化思想构建了具有优化能力的、能够实时运行的构型规划器。仿真与实物实验的结果表明,该方法能够使机器人自主调整构型穿越复杂地形,且相较强化学习算法和人工操作具有更平稳的越障效果。