Robust shortest path planning and semicontractive dynamic programming

In this article, we consider shortest path problems in a directed graph where the transitions between nodes are subject to uncertainty. We use a minimax formulation, where the objective is to guarantee that a special destination state is reached with a minimum cost path under the worst possible instance of the uncertainty. Problems of this type arise, among others, in planning and pursuit‐evasion contexts, and in model predictive control. Our analysis makes use of the recently developed theory of abstract semicontractive dynamic programming models. We investigate questions of existence and uniqueness of solution of the optimality equation, existence of optimal paths, and the validity of various algorithms patterned after the classical methods of value and policy iteration, as well as a Dijkstra‐like algorithm for problems with nonnegative arc lengths.© 2016 Wiley Periodicals, Inc. Naval Research Logistics 66:15–37, 2019     

Column generation for stochastic green telecommunication network planning with switchable base stations

We present the green telecommunication network planning problem with switchable base stations, where the location and configuration of the base stations are optimized, while taking into account uncertainty and variability of demand. The problem is formulated as a two‐stage stochastic program under demand uncertainty with integers in both stages. Since solving the presented problem is computationally challenging, we develop the corresponding Dantzig‐Wolfe reformulation and propose a solution approach based on column generation. Comprehensive computational results are provided for instances of varying characteristics. The results show that the joint location and dynamic switching of base stations leads to significant savings in terms of energy cost. Up to 30% reduction in power consumption cost is achieved while still serving all users. In certain cases, allowing dynamic configurations leads to more installed base stations and higher user coverage, while having lower total energy consumption. The Dantzig‐Wolfe reformulation provides solutions with a tight LP‐gap eliminating the need for a full branch‐and‐price scheme. Furthermore, the proposed column generation solution approach is computationally efficient and outperforms CPLEX on the majority of the tested instances. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 351–366, 2016     

飞行器航路规划算法分析

针对现代军用飞行器任务规划系统航路规划的特点,分析了飞行器航路规划的基本要求,阐述了目前国内外应用和研究的几种航路规划算法:A*搜索算法、遗传算法、粒子群算法、数学规划算法、电势理论法等,并对飞行器航路规划算法的发展趋势进行了展望.     

A parallel machine replacement model

This paper considers a finite horizon parallel machine replacement problem where a fixed number of machines is in operation at all times. The operating cost for a machine goes up as the machine gets older. An older machine may have to be replaced by a new one when its operating cost becomes too high. There is a fixed order cost associated with the purchase of new machines. Machine purchase prices and salvage values may depend on the period in which they were purchased. The objective is to find a replacement plan that minimizes the total discounted cost over the problem horizon. We believe that the costs in our model are more commonly observed in practice than those previously used in the literature. The paper develops properties of optimal solutions and an efficient forward‐time algorithm to find an optimal replacement plan. A dominance property is developed that further limits the options to be considered, and a simple forecast horizon result is also presented. Future research possibilities are mentioned. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 275–287, 2002; Published online in Wiley InterScience (http://www.interscience.wiley.com). DOI 10.1002/nav.10012     

Investment in production resource flexibility: An empirical investigation of methods for planning under uncertainty

We examine several methods for evaluating resource acquisition decisions under uncertainty. Traditional methods may underestimate equipment benefit when part of this benefit comes from decision flexibility. We develop a new, practical method for resource planning under uncertainty, and show that this approach is more accurate than several commonly used methods. We successfully applied our approach to an investment problem faced by a major firm in the aviation information industry. Our recommendations were accepted and resulted in estimated annual savings in excess of $1 million (US). © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2003     

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     

战术导弹多学科设计优化

建立了战术导弹多学科系统分析模型,提出了战术导弹多学科设计优化方法.通过系统级总体设计优化和并行的子系统级发动机设计优化的嵌套循环,得到满足战术导弹总体设计指标的最优发动机设计方案,即得到内外弹道相匹配的发动机最优推力时间曲线,实现了战术导弹多学科设计优化,缩短了战术导弹总体和固体推进学科的设计周期.战术导弹设计优化时不仅考虑了导弹战技性能指标要求,而且还考虑了22个典型攻击目标的运动特性,增加了导弹最优设计结果的实用性.     

流体系结构技术发展探讨

以流计算模型为基础的流体系结构,是面向未来的单片上集成超10亿只晶体管和上千ALU时代的新型体系结构,正成为微处理器体系结构研究关注的前沿焦点之一.首先分析流计算的背景;总结现有的具有代表性的流体系结构,并对它们的结构、执行模式、并行性、片上存储使用方式和应用目标等方面进行了比较;然后归纳流程序设计及其环境,讨论当前流编译研究的热点方向;最后探讨流处理器设计的发展趋势.     

基于序列二次规划算法的控制律寻优设计

针对某型无人机设计的纵向控制系统,运用经典控制器设计,然后通过参数优化而进行时域自动调节控制律参数的方法设计控制律,优化算法采用序列二次规划法.自动调参的过程是直观可视的.仿真结果表明运用该方法所设计出的控制律满足飞行品质要求,比传统的人工调节控制器参数效果更好,并提高了工作效率.这种方法可以应用于其他控制对象.     

基于遗传算法的自航水雷航路规划

自航水雷在执行任务时需要装载根据战场环境预先规划好的最优路径,路径的优劣直接决定了自航水雷的作战效率.采用遗传算法进行自航水雷航路优化,算法利用极坐标描述威胁位置和航路点,将航路编码由二维缩减至一维,降低了搜索空间,提高了优化效率.对算法进行了相应的仿真,仿真结果表明,编码方式提高了优化效率,得到的航路有效地规避了威胁.