Single‐commodity stochastic network design under demand and topological uncertainties with insufficient data

Stochastic network design is fundamental to transportation and logistic problems in practice, yet faces new modeling and computational challenges resulted from heterogeneous sources of uncertainties and their unknown distributions given limited data. In this article, we design arcs in a network to optimize the cost of single‐commodity flows under random demand and arc disruptions. We minimize the network design cost plus cost associated with network performance under uncertainty evaluated by two schemes. The first scheme restricts demand and arc capacities in budgeted uncertainty sets and minimizes the worst‐case cost of supply generation and network flows for any possible realizations. The second scheme generates a finite set of samples from statistical information (e.g., moments) of data and minimizes the expected cost of supplies and flows, for which we bound the worst‐case cost using budgeted uncertainty sets. We develop cutting‐plane algorithms for solving the mixed‐integer nonlinear programming reformulations of the problem under the two schemes. We compare the computational efficacy of different approaches and analyze the results by testing diverse instances of random and real‐world networks. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 154–173, 2017     

A three‐stage procurement optimization problem under uncertainty

This article examines a problem faced by a firm procuring a material input or good from a set of suppliers. The cost to procure the material from any given supplier is concave in the amount ordered from the supplier, up to a supplier‐specific capacity limit. This NP‐hard problem is further complicated by the observation that capacities are often uncertain in practice, due for instance to production shortages at the suppliers, or competition from other firms. We accommodate this uncertainty in a worst‐case (robust) fashion by modeling an adversarial entity (which we call the “follower”) with a limited procurement budget. The follower reduces supplier capacity to maximize the minimum cost required for our firm to procure its required goods. To guard against uncertainty, the firm can “protect” any supplier at a cost (e.g., by signing a contract with the supplier that guarantees supply availability, or investing in machine upgrades that guarantee the supplier's ability to produce goods at a desired level), ensuring that the anticipated capacity of that supplier will indeed be available. The problem we consider is thus a three‐stage game in which the firm first chooses which suppliers' capacities to protect, the follower acts next to reduce capacity from unprotected suppliers, and the firm then satisfies its demand using the remaining capacity. We formulate a three‐stage mixed‐integer program that is well‐suited to decomposition techniques and develop an effective cutting‐plane algorithm for its solution. The corresponding algorithmic approach solves a sequence of scaled and relaxed problem instances, which enables solving problems having much larger data values when compared to standard techniques. © 2013 Wiley Periodicals, Inc. Naval Research Logistics, 2013     

基于广义模糊函数的MIMO SAR分辨特性分析

多发多收合成孔径雷达（MIMO SAR）是近年来发展起来的一种新型雷达体制。与传统SAR相比,MIMO SAR综合利用了波形分集和空间分集优势,如何衡量系统的分辨特性以及模糊特性成为亟待解决的问题。本文将模糊函数概念推广到MIMO SAR性能分析中,通过数学推导获得了广义模糊函数的解析表示,结果表明MIMO SAR系统分辨率不仅取决于发射波形参数以及合成孔径长度,还与发射波形集的正交性以及收发天线阵列流形密切相关,仿真实验验证了系统模型的有效性和相应分析的正确性。     

高速飞行器间隙非线性机翼颤振的非线性能量阱抑制

针对间隙非线性机翼颤振系统的亚临界问题,引入了非线性能量阱(nonlinear energy sink,NES)技术来提高系统发生极限环振荡的临界速度。建立了具有NES控制的间隙非线性机翼颤振系统动力学模型,并分析了质量比、频率比、阻尼比、相对位置等NES参数对颤振系统极限环振荡的抑制效果,以及NES参数对颤振系统极限环振荡临界速度的影响规律。结果表明,阻尼比越大,可以在越小的自振频率比情况下使系统进入稳定区,但需要更苛刻的NES位置要求,即越靠近机翼前缘;而阻尼比越小,则使颤振系统极限环振荡响应进入稳定区所需的NES质量越小。在NES位置靠近机翼前缘时,增大自振频率比会使极限环振荡抑制效果有明显的提升,而增大质量比可以显著提高极限环振荡的抑制效果和临界速度。此外,NES的阻尼比越小,其颤振系统的极限环振荡抑制效果越好。     

内可逆闭式中冷回热布雷顿循环功率效率特性

应用有限时间热力学的方法分析了恒温热源条件下内可逆闭式中冷回热布雷顿循环的无因次功率和效率特性,导出了无因次功率及效率的解析式,通过数值计算,得到了分别对应于循环功率和效率的最佳中间压比分配,并研究了中冷度、回热度以及高低温侧换热器有致度对循环性能的影响。     

基于全寿命周期的消防装备管理系统化组织体系建立

目前消防装备管理存在着管理环节分离,管理决策缺乏科学性,经费使用效益低下等问题。以全寿命周期管理理念,推进消防装备管理创新,建立消防装备管理系统化组织体系,是解决问题的关键。     

超音速气流中热塑性复合材料壁板的非线性热颤振特性

热塑性复合材料结构在高速流场中的颤振行为是可重复使用航天器设计中需要考虑的问题.基于Mindlin厚板理论和Von-Karman大变形理论描述热塑性复合壁板结构大变形,超音速气动力采用活塞气动理论.考虑温度引起的壁板面内热应力和热塑性材料力学性能的改变.根据虚功原理和有限元法推导建立了热塑性复合材料壁板的热颤振模型,进...     

阻尼振荡的数学本质分析

用微分方程定性理论,从平面自治系统奇点的性态角度出发分析了阻尼振荡的数学本质。以全新的视角讨论了三种阻尼情况的本质区别,由此引出了系统在平衡态的稳定性问题。进一步用系统稳定性理论论述了自激振荡器的设计思想。该分析方法也是研究非线性动态电路、动力系统稳定性的有效方法。     

武器装备全寿命费用宏观控制的系统动力学模型

以武器装备作战能力差距为牵引,以全寿命周期阶段对作战能力的影响为主要依据,建立了基于系统动力学的武器装备全寿命费用控制分析模型,客观、合理地描述了全寿命周期各阶段之间的相互影响,并对武器装备全寿命费用宏观费用控制问题进行了仿真实验分析。     

当代资本主义经济周期再认识

技术革命、政府宏观调控以及经济全球化等方面影响的两重性,在引起资本主义经济周期新变化的同时,也导致了经济周期理论的进一步发展。所以,以一种新的视角研究当代资本主义的经济周期对发展马克思主义政治经济学理论具有重要的理论与实际意义。