The stochastic single resource service‐provision problem

The service‐provision problem described in this paper comes from an application of distributed processing in telecommunications networks. The objective is to maximize a service provider's profit from offering computational‐based services to customers. The service provider has limited capacity and must choose which of a set of software applications he would like to offer. This can be done dynamically, taking into consideration that demand for the different services is uncertain. The problem is examined in the framework of stochastic integer programming. Approximations and complexity are examined for the case when demand is described by a discrete probability distribution. For the deterministic counterpart, a fully polynomial approximation scheme is known 2 . We show that introduction of stochasticity makes the problem strongly NP‐hard, implying that the existence of such a scheme for the stochastic problem is highly unlikely. For the general case a heuristic with a worst‐case performance ratio that increases in the number of scenarios is presented. Restricting the class of problem instances in a way that many reasonable practical problem instances satisfy allows for the derivation of a heuristic with a constant worst‐case performance ratio. Worst‐case performance analysis of approximation algorithms is classical in the field of combinatorial optimization, but in stochastic programming the authors are not aware of any previous results in this direction. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2003     

On the availability of R out of N repairable systems

An R out of N repairable system consisting of N components and operates if at least R components are functioning. Repairable means that failed components are repaired, and upon repair completion they are as good as new. We derive formulas for the expected up‐time, expected down‐time, and the availability of the system, using Markov renewal processes. We assume that either the repair times of the components are generally distributed and the components' lifetimes are exponential or vice versa. The analysis is done for systems with either cold or warm stand‐by. Numerical examples are given for several life time and repair time distributions. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 483–498, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10025     

Two‐stage component test plans for testing the reliability of a series system

A system reliability is often evaluated by individual tests of components that constitute the system. These component test plans have advantages over complete system based tests in terms of time and cost. In this paper, we consider the series system with n components, where the lifetime of the i‐th component follows exponential distribution with parameter λ_i. Assuming test costs for the components are different, we develop an efficient algorithm to design a two‐stage component test plan that satisfies the usual probability requirements on the system reliability and in addition minimizes the maximum expected cost. For the case of prior information in the form of upper bounds on λ_i's, we use the genetic algorithm to solve the associated optimization problems which are otherwise difficult to solve using mathematical programming techniques. The two‐stage component test plans are cost effective compared to single‐stage plans developed by Rajgopal and Mazumdar. We demonstrate through several numerical examples that our approach has the potential to reduce the overall testing costs significantly. © 2002 John Wiley & Sons, Inc. Naval Research Logistics, 49: 95–116, 2002; DOI 10.1002/nav.1051     

Minimizing weighted earliness and tardiness penalties in single‐machine scheduling with idle time permitted

In this paper, a single‐machine scheduling problem with weighted earliness and tardiness penalties is considered. Idle time between two adjacent jobs is permitted and due dates of jobs could be unequal. The dominance rules are utilized to develop a relationship matrix, which allows a branch‐and‐bound algorithm to eliminate a high percentage of infeasible solutions. After combining this matrix with a branching strategy, a procedure to solve the problem is proposed. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 760–780, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/nav.10039     

基于舰艇编队的反舰导弹航路规划区域划分

根据舰艇编队对海导弹攻击中航路规划指挥决策的需要,为避免各舰发射的导弹出现航路交叉现象,提出了单舰导弹航路规划功能区域的概念和编队导弹航路规划区域划分的思想,建立了编队导弹航路规划区域划分模型。分别研究了一般情况和复杂情况下的导弹航路规划区域划分方法,并且结合想定装备参数进行了编程实现和算例分析。为编队指挥员实施导弹航路规划决策提供辅助决策和科学依据。     

蚁群算法在无人机航路规划中的应用

蚂蚁算法是一种新的源于大自然生物界的仿生随机优化方法。吸收了昆虫中蚂蚁的行为特征,通过其内在的搜索机制,在一系列组合优化问题求解中取得了成效。将蚁群算法应用于无人机(UAV)航路规划,提出了一种适用于航路规划的优化方法,可以为在敌方防御区域内执行攻击任务的无人机规划设计出高效的飞行航路,保证无人机以最小的被发现概率及可接受航程到达目标点,提高了无人机作战任务的成功率。仿真结果初步表明该方法是一种有效的航路规划方法。     

空间站零燃料大角度姿态机动路径存在性分析

零燃料大角度姿态机动技术是新近应用在国际空间站的新概念姿态控制技术。构造了以控制力矩陀螺为执行机构的空间站姿态控制动力学模型,在此基础上,建立了空间站本体与控制力矩陀螺之间的角动量守恒关系。针对各类大角度姿态机动任务,通过分析空间站惯量参数与控制力矩陀螺性能参数之间的解析关系,得到了零燃料大角度姿态机动路径的存在性条件。通过规划算例验证了存在性分析的正确性。所提出的零燃料大角度姿态机动存在性条件,为姿态机动路径的存在性判断提供了便捷可行的方法,为零燃料大角度姿态机动技术未来在我国空间站实施的可行性论证提供重要的理论依据。     

一种改进遗传算法在UCAV快速航迹规划中的应用

针对无人作战飞机(Unmanned Combat Aerial Vehicle,UCAV)航迹规划约束条件复杂、不确定因素多、实时性要求高的特点,提出了一种基于Voronoi图和改进遗传算法的快速航迹规划方法。该方法采取分层航迹规划的思想,首先根据Voronoi图生成初始航迹,并综合考虑约束条件,赋予各条航迹相应的权值;然后应用改进的遗传算法在生成的航迹空间中寻优,最终得到满意的航迹。该算法利用多处理机并行计算技术对传统遗传算法进行改进,大大缩短寻优时间。仿真结果表明基于Voronoi图和改进遗传算法的航迹规划提高了实时性,增强了UCAV的动态战场适应能力和突发威胁应对能力。     

基于进化算法的多无人机协同航路规划

以突防航路时域协同指数、空域协同指数、突防时长指数和受威胁指数为规划目标,以最小直线航路段长度、可飞空域、续航能力和进入任务航路方向为约束,构建了多无人机协同突防航路规划模型。结合模型特点,利用合作型协同进化遗传算法对该模型进行求解。     

基于改进ACO算法的多UAV协同航路规划

针对无人机(Unmanned Aerial Vehicle,UAV)在执行任务过程中遇到的诸如敌方防空火力、地形障碍及恶略天气等各类威胁源,采用威胁源概率分布的方法进行威胁的量化处理,构建任务空间的威胁概率密度分布图,有效消除了威胁源的差异性。根据UAV在任务飞行过程中的性能约束与时、空协同约束,同时考虑任务过程中UAV的损毁概率最小、任务航程最短,构建了相应的综合任务航路代价最优化目标函数。结合传统蚁群优化算法(Ant Colony Optimization,ACO)在解决此类问题中的不足,给出了相应的改进策略,提出采用协同多种群ACO进化策略来实现多UAV在满足时、空协同约束下的协同航路规划。通过相应的仿真计算表明,改进后的ACO协同多种群进化策略算法更适用于多UAV协同任务航路规划问题,具有一定的实用性。从而为多UAV协同任务航路规划问题的求解提供了科学的决策依据。