文章编号：基于多目标进化搜索算法的AUV地磁仿生导航方法

针对水下自主航行器(AUV)地磁多参量多目标搜索的问题,提出了一种基于磁趋势敏感的多目标进化搜索算法。在进化算法的结构下,利用地磁场参量与导航路径的约束关系,以磁趋势敏感作为后验评估准则,建立导航模型,使得地磁多分量伴随航行器的运动同时同地收敛至各自目标值,实现导航目的。通过与六边形路径搜索算法的仿真对比,验证了多目标进化搜索算法的有效性和优越性。     

火力分配多目标优化的IBACO算法

应用蚁群优化算法(Ant Colony Optimization)求解多目标优化问题已经引起广泛关注,多目标火力分配问题的目标是求出一个合适的武器目标分配方案,使满足决策需要。建立了多目标火力分配的数学模型,提出一种基于指标的蚁群优化算法Indicator-Based Ant Colony Optimization),给出了算法的具体步骤。IBACO的核心思想是利用二元性能指标来引导人工蚂蚁进行搜索,由于该算法中的信息素是根据指标的值来更新的,通过奖励信息素可以强化最优解。仿真实验证明了该算法的有效性,在解决火力分配问题上,所提算法和蚁群优化算法相比具有较好的收敛性。     

基于Pareto排序法的战时装备维修任务多目标调度方法

针对战时武器装备维修保障问题,建立了包括最大完工时间、延迟时间和维修单元负荷在内的多目标优化调度模型。为提高解的多样性和收敛性,构建了一种基于Pareto排序法和小生境技术相结合的遗传算法用于模型求解,引入Pareto排序和拥挤距离进行适应度计算,通过混沌系统随机生成权重系数,并使用小生境技术改进选择方式。通过实例验证表明,该方法能够有效地解决装备维修多目标调度问题。     

不确定条件下装备器材供应网规划模型

装备器材供应网是装备器材供应保障工作的重要基石,其规划问题是我军装备器材保障过程的重要战略决策之一。针对节点、边和需求的不确定性,对不确定条件下由多个区域供应子网构成的装备器材供应网的规划问题展开研究。针对问题的特点,用区间分析理论对供应网规划中的不确定性因素进行度量和运算,得到不确定性规划模型,通过区间运算转化,将不确定性模型转化为确定性混合整数规划模型,并设计采用基于禁忌搜索算法的两阶段算法进行求解,分别得到了不同参数设置下的模型求解结果,并将所用算法与模糊规划和随机规划算法的求解结果进行了比较分析。实例分析结果表明所建立的模型和算法具有较强的实用性。     

地磁仿生导航的多目标进化搜索算法

针对水下自主航行器地磁多参量多目标搜索的问题,提出一种基于磁趋势敏感的多目标进化搜索算法。在进化算法的结构下,利用地磁场参量与导航路径的约束关系,以磁趋势敏感作为后验评估准则,建立导航模型,使得地磁多分量伴随航行器的运动同时同地收敛至各自目标值,实现导航目的。通过与六边形路径搜索算法的仿真对比,验证了多目标进化搜索算法的有效性和优越性。     

Rendezvous of three agents on the line

This paper considers a three‐person rendezvous problem on the line which was introduced earlier by the authors. Three agents are placed at three consecutive integer value points on the real line, say 1, 2, and 3. Each agent is randomly faced towards the right or left. Agents are blind and have a maximum speed of 1. Their common aim is to gather at a common location as quickly as possible. The main result is the proof that a strategy given by V. Baston is the unique minimax strategy. Baston's strategy ensures a three way rendezvous in time at most 3.5 for any of the 3!2³ = 48 possible initial configurations corresponding to positions and directions of each agent. A connection is established between the above rendezvous problem and a search problem of L. Thomas in which two parents search separately to find their lost child and then meet again. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 244–255, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10005     

IRST 系统的数学仿真研究

讨论了目标红外辐射、大气传输和ＩＲＳＴ系统,并根据建立的数学模型,完成了ＩＲＳＴ系统的数学仿真研究。     

Discrete stochastic optimization using variants of the stochastic ruler method

We present two random search methods for solving discrete stochastic optimization problems. Both of these methods are variants of the stochastic ruler algorithm. They differ from our earlier modification of the stochastic ruler algorithm in that they use different approaches for estimating the optimal solution. Our new methods are guaranteed to converge almost surely to the set of global optimal solutions under mild conditions. We discuss under what conditions these new methods are expected to converge faster than the modified stochastic ruler algorithm. We also discuss how these methods can be used for solving discrete optimization problems when the values of the objective function are estimated using either transient or steady‐state simulation. Finally, we present numerical results that compare the performance of our new methods with that of the modified stochastic ruler algorithm when applied to solve buffer allocation problems. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.     

基于GRA-PSO算法的端铣工艺参数多目标优化

考虑生产实际的需求,综合最小变形误差、最大金属切除率和最大刀具耐用度建立端铣工艺参数多目标优化模型。通过对粒子群全局寻优能力和灰色理论的适应性综合分析,研究提出耦合粒子群算法（Particle Swarm Op-timization,PSO）和灰色关联（Gray Relevancy Analysis,GRA）的多目标工艺参数优化算法。该方法将多目标函数的优化问题转化为优化单项灰关联度,得到了多项工艺指标要求下的参数优化组合。将该方法应用在多目标工艺参数优化设计中取得了满意的结果,表明其具有很大的适应性。     

An efficient metaheuristic for integrated scheduling and staffing IT projects based on a generalized minimum cost flow network

Scheduling IT projects and assigning the project work to human resources are an important and common tasks in almost any IT service company. It is particularly complex because human resources usually have multiple skills. Up to now only little work has considered IT‐specific properties of the project structure and human resources. In this article, we present an optimization model that simultaneously schedules the activities of multiple IT projects with serial network structures and assigns the project work to multiskilled internal and external human resources with different efficiencies. The goal is to minimize costs. We introduce a metaheuristic that decomposes the problem into a binary scheduling problem and a continuous staffing problem where the latter is solved efficiently by exploiting its underlying network structure. For comparison, we solve the mixed–binary linear program with a state–of–the–art commercial solver. The impacts of problem parameters on computation time and solution gaps between the metaheuristic and the solver are assessed in an experimental study. Our results show that the metaheuristic provides very favorable results in considerable less time than the solver for midsize problems. For larger problems, it shows a similar performance while the solver fails to return feasible solutions. © 2012 Wiley Periodicals, Inc. Naval Research Logistics 59: 111–127, 2012