Optimal sample size allocation for tests with multiple levels of stress with extreme value regression

In this article, we discuss the optimal allocation problem in a multiple stress levels life‐testing experiment when an extreme value regression model is used for statistical analysis. We derive the maximum likelihood estimators, the Fisher information, and the asymptotic variance–covariance matrix of the maximum likelihood estimators. Three optimality criteria are defined and the optimal allocation of units for two‐ and k‐stress level situations are determined. We demonstrate the efficiency of the optimal allocation of units in a multiple stress levels life‐testing experiment by using real experimental situations discussed earlier by McCool and Nelson and Meeker. Monte Carlo simulations are used to show that the optimality results hold for small sample sizes as well. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

Optimal strategies for problems of simultaneous attack against an area defense with impact-point prediction

An area to be defended consists of separated point targets. These targets are subject to an attack in which the offensive weapons are assumed to arrive simultaneously. The defense has area defenders, each of which is capable of intercepting any attacker'. Furthermore, the defense has impact-point prediction, i.e., it has knowledge of each attacker's intended target prior to allocation of the area interceptors. For a given attack, the defense wishes to allocate its interceptors against attackers so as to maximize the expected total survival value of the targets. In its first move, the offense seeks an attack allocation which will minimize expected total surviving value against best defense. We develop an algorithm to determine optimal attack and defense strategies and the optimal value of this sequential min-max problem. Branch-and-bound techniques are used to obtain integer solutions, and illustrative computational results are provided.     

不确定情况下协同空战目标分配方法

现代空战环境下出现的大量不确定信息, 现在常用的协同目标分配模型都没有考虑到这种情况.针对这种情况,将随机规划引入到协同空战目标分配研究中,在一般期望值模型的基础上,建立了多机空战协同目标分配期望值模型,并利用随机模拟、神经网络和遗传算法结合而成的混合智能算法来求解该期望值模型.2∶4协同空战仿真结果表明该模型的有效性.     

基于保障场的装备保障力量配置优化研究

根据电场的作用机理,提出保障场的概念,从场思维的角度构建装备保障力量配置分析的优化模型;并进一步定量分析与定性判断相结合,提出装备保障力量配置优化的流程,最后结合实例具体分析。研究结果对装备保障的部署决策具有一定参考价值和指导意义。     

异构资源类型下多无人机任务分配

针对多无人机在执行侦察、打击任务的过程中携带任务资源的异构性,以及任务对于异构资源的要求,设计了一种改进的基于共识的捆绑算法(consensus-based bundle algorithm, CBBA)。考虑任务价值、任务执行时间窗以及航程代价等条件建立了多无人机对地目标侦察、打击任务分配模型。利用K-medoids聚类分析方法对多无人机进行基于距离和携带资源平衡的聚类,以解决多无人机对于异构资源类型的要求。对打击任务进行子任务生成,并利用改进后的CBBA求解所建立的任务分配模型,通过对比仿真实验验证了算法的可行性和有效性。     

多UCAV协同控制中的任务分配模型及算法

任务分配是多UCAV协同控制的核心和有效保证。分析了影响目标价值毁伤、UCAV损耗、任务消耗时间等三项关键战技指标的因素,综合考虑实战中多UCAV同时攻击同一目标和使用软杀伤武器这两种典型情况对UCAV执行任务的影响,建立了针对攻击任务的多UCAV协同任务分配模型,并应用粒子群算法求解。仿真结果验证了模型的合理性和算法的有效性。     

Optimal strategies for problems of simultaneous attack against an area defense without impact-point prediction

An area to be defended consists of separated point targets. These targets are subject to an attack in which the offensive weapons are assumed to arrive simultaneously. The defense has area defenders, each of which is capable of intercepting any attacker. The defense has no impact-point prediction; that is, it has no knowledge of any attacker's destination prior to allocation of area interceptors. For a given attack, the defense wishes to allocate its interceptors to maximize the total expected survival value of the targets. For a given attack size, the offense seeks a strategy to minimize total expected surviving value against best defense. We determine an optimal defensive strategy directly and develop an algorithm to determine an optimal attack and the optimal value of the min-max problem. A dynamic programming technique is used to obtain integer solutions, and illustrative computational results are provided.     

级联失效下非对称依赖网络鲁棒性研究

研究级联失效下网络化信息物理系统的鲁棒性具有重要的现实意义.针对具有单向依赖关系的信息物理系统构建双层非对称依赖网络模型,综合依赖失效和过载失效设计级联失效模型,提出一种更贴近实际的非对称攻击方式,并给出一种资源限制下的节点容量分配方式.针对无标度子网构成的非对称依赖网络进行了仿真实验,结果表明:网络鲁棒性与子网络平均...     

多层弹道导弹防御体系火力分配优化研究

对多层弹道导弹防御体系火力分配问题进行了研究。首先对多层弹道导弹防御体系火力分配问题进行了描述,在此基础上建立了基于最大化资源剩余价值目标函数的多层弹道导弹防御体系火力分配模型,分析了求解该模型的难点,提出了基于文化基因的多层弹道导弹防御体系火力分配问题文化基因求解算法,最后应用实例验证了模型的有效性,并对算法进行了对比分析。试验结果证明,合理制定多层弹道导弹防御体系火力分配方案,对于提升防御效能具有重要意义。     

Technical note: Characterization of binomial semivalues through delegation games

Semivalues are allocation rules for cooperative games that assign to each player in a given game a weighted sum of his marginal contributions to all coalitions he belongs to, where the weighting coefficients depend only on the coalition size. Binomial semivalues are a special class of semivalues whose weighting coefficients are obtained by means of a unique parameter. In particular, the Banzhaf value is a binomial semivalue. In this article, we provide an axiomatic characterization for each binomial semivalue. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

适用于认知无线传感器网络的高效频谱分配方法

广泛工作在ISM(Industrial,Scientific and Medical)频段的无线传感器网络面临严重的频谱稀缺问题。在无线通信中,动态频谱分配被认为是提高频谱效能的重要途径。针对典型集中式管理的认知无线传感器网络设计了基于图着色结合负载强度的高效频谱分配算法。首先在协议干扰模型下确保频谱资源在空间上充分利用,随后综合考虑节点负载强度与公平性建立优化模型并按照乘子法加拟牛顿法框架求解最优值。仿真实验表明算法与固定频谱分配方式和传统自适应频谱分配算法相比,在系统吞吐量和节点缓冲区队列长度两个关键性能指标上具有显著优势。     

基于效能分析的工程建设投资分配模型研究

分析了基数滚动切块和层次分析-目标规划(AnalyticHierarchyProcessandGoalProgramming)投资分配模型的利弊,探讨了工程建设投资效能的估计方法,研究建立了基于效能分析的投资分配优化模型.该模型经实际算例分析证明,模型的思路清晰,便于理解和操作,具有较好的实用性.     

A cooperative game in search theory

Search theory originates from the military research efforts of WWII. Most researchers of that period modeled their search games in noncooperative games, where players are enemies or compete against each other. In this article, we deal with a cooperative search game, where multiple searchers behave cooperatively. First we describe several search problems and discuss the possibility of a coalition or cooperation among searchers. For the cooperative search game, we define a function named quasi‐characteristic function, which gives us a criterion similar to the so‐called characteristic function in the general coalition game with transferable utility. The search operation includes a kind of randomness with respect to whether the searchers can detect a target and get the value of the target. We also propose a methodology to divide the obtained target value among members of the coalition taking account of the randomness. As a concrete problem of the cooperative search game, we take the so‐called search allocation game, where searchers distribute their searching resources to detect a target in a cooperative way and the target moves in a search space to evade the searchers. Lastly, we discuss the core of the cooperative search allocation game. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009     

Optimal power control in a wireless network using a model with stochastic link coefficients

This paper addresses optimal power allocation in a wireless communication network under uncertainty. The paper introduces a framework for optimal transmit power allocation in a wireless network where both the useful and interference coefficients are random. The new approach to power control is based on a stochastic programming formulation with probabilistic SIR constraints. This allows to state the power allocation problem as a convex optimization problem assuming normally or log‐normally distributed communication link coefficients. Numerical examples illustrate the performance of the optimal stochastic power allocation. A distributed algorithm for the decentralized solution of the stochastic power allocation problem is discussed. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2005     

Manpower modeling in cost effectiveness studies of usaf program to reduce the incidence of heart disease

Planning for a cardiovascular disease reduction program, soon to be initiated by the United States Air Force, has required an evaluation of its expected cost effectiveness. During the course of this evaluation, it was necessary to consider manpower flows and their expected changes in response to the disease reduction program. This paper describes several manpower models that were applied: a simple expected value equilibrium model; a cross-sectional model that considered the length of service of personnel; and a staffing model used to optimize the allocation of paramedics to the many Air Force bases of various sizes. The relevance of these models to the cost effectiveness evaluation is shown but the detailed cost effectiveness results are not presented.     

A heuristic routine for solving large loading problems

The loading problem involves the optimal allocation of n objects, each having a specified weight and value, to m boxes, each of specified capacity. While special cases of these problems can be solved with relative ease, the general problem having variable item weights and box sizes can become very difficult to solve. This paper presents a heuristic procedure for solving large loading problems of the more general type. The procedure uses a surrogate procedure for reducing the original problem to a simpler knapsack problem, the solution of which is then employed in searching for feasible solutions to the original problem. The procedure is easy to apply, and is capable of identifying optimal solutions if they are found.     

Minimax resource allocation problems with ordering constraints

Resource allocation problems consider the allocation of limited resources among numerous competing activities. We address an allocation problem with multiple knapsack resource constraints. The activities are grouped into disjoint sets. Ordering constraints are imposed on the activities within each set, so that the level of one activity cannot exceed the level of another activity in the same set. The objective function is of the minimax type and each performance function is a nonlinear, strictly decreasing and continuous function of a single variable. Applications for such resource allocation problems are found, for example, in high-tech industries confronted with large-scale and complex production planning problems. We present two algorithms to solve the allocation problem with ordering constraints. The first one uses characterization of the optimal decision variables to apply a search method. The second algorithm solves a sequence of problems, each in the format of the original problem without ordering constraints. Whereas the computational effort of the first algorithm depends on the desired degree of accuracy even for linear performance functions, the effort of the latter algorithm is polynomial for certain classes of performance functions. © 1994 John Wiley & Sons, Inc.     

系统可靠性分配的研究进展

系统可靠性分配是可靠性设计的重要任务之一,其主要作用是为可靠性设计提供辅助决策。给出了可靠性分配流程,研究了可靠性分配模型的发展状况,重点介绍了可靠性分配问题的求解算法,指出了各类算法在分配中的应用及其需进一步解决的问题,同时分析了国内外典型的分配软件,总结了各软件中可靠性分配的主要功能,最后对可靠性分配提出了进一步的研究展望。     

基于价值工程的装备体系建设费用结构优化方法研究

科学、合理地配置费用对于加强装备体系建设、提高军队战斗力具有重要的现实意义。文章介绍了价值工程的基本原理,建立了基于价值工程的装备体系建设费用结构优化模型,并引入强制确定(Forced Decision)法,通过实例讨论了优化方法的可行性和实用性。     

改进合同网协议的Agent动态任务分配

针对导弹作战任务规划中的动态任务分配问题,研究了MAS框架下任务分配的形式化描述和数学模型,对动态任务分配的特点进行了分析,运用合同网理论,提出了基于改进合同网协议的Agent动态任务分配算法,实现了对不确定开放环境中动态变化的任务分配方法。算例表明算法是有效的。