关于有限时间热力学的最小熵产生最大值原则

本文力图从能表征状态的热力学参数熵的变化中找到有关有限时间热力学新的分析方法,提出了工作参数选择的最小熵产生最大值原则。这个原则揭示了有限时间热力学以时间为基础的“率”与非平衡热力学熵产生间的内在联系。据此,我们便可得到正、反向内可逆卡诺循环的最佳工作参数。为有限时间热力学的普遍应用研究提供了一新的线索。     

采用故障信息分级确定最佳监测点分布

装备结构的复杂性使监测中确定最佳分配点极为困难,本文在最大故障信息量的基础上,提出了故障信息分级的判定原则,用以确定监测点的最佳分布,从而可在最少监测点的情况下,获得最多的装备运行故障信息,为故障诊断提供可靠数据。     

Capacitated selection problem

Optimizing the selection of resources to accomplish a set of tasks involves evaluating the tradeoffs between the cost of maintaining the resources necessary to accomplish the tasks and the penalty cost associated with unfinished tasks. We consider the case where resources are categorized into types, and limits (capacity) are imposed on the number of each type that can be selected. The objective is to minimize the sum of penalty costs and resource costs. This problem has several practical applications including production planning, new product design, menu selection and inventory management. We develop a branch‐and‐bound algorithm to find exact solutions to the problem. To generate bounds, we utilize a dual ascent procedure which exploits the special structure of the problem. Information from the dual and recovered primal solutions are used to select branching variables. We generate strong valid inequalities and use them to fix other variables at each branching step. Results of tests performed on reasonably sized problems are presented. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 19–37, 1999     

同类防空武器多层防御部署分析

在现代防空中,经常是防空武器多层部署进行防空,故需要对防空武器多层防御部署进行分析.针对同类防空武器多层防御部署的问题,运用排队论,建立了防御体系射击效能的数学模型.按照模型,通过实验仿真,对计算得到的实验数据进行分析,推测出同类防空武器的部署规律,并对防御体系应部署的适宜层数进行了一定的讨论.通过理论推导,证明了部署规律的正确性.最后建立了需求分析模型,运用部署规律对模型进行求解,通过对实例进行计算,给出了求解的基本步骤.     

Analysis of production lines with Coxian service times and no intermediate buffers

This paper uses the holding time model (HTM) method to derive an approximate analytic formula for the calculation of the mean throughput of a K-station production line with no buffers between any two successive stations. Service times follow the two-stage Coxian (C²) distribution at all stations. The paper provides a formula that relates the third moment of the service completion (or virtual service) time with the respective parameters of the service time, the repair time and the time to breakdown (the latter is assumed to follow the exponential distribution). In this way, it concludes that under certain conditions the two-stage Coxian distribution can be used to approximate any general distribution matching the first three moments of the service completion time distribution. The mean holding times (consisting of the service and blocking periods) of all stations of the line are obtained in an analytical form. Numerical results are provided for the mean throughput of lines with up to 20 stations. These results are shown to have a good accuracy compared against results obtained from the Markovian state method (for short lines) and results from simulation (for longer lines). © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 669–685, 1998     

支持向量机规则提取

支持向量机是一种黑箱模型,其学习到的知识蕴含在决策函数中,不仅影响了用户对利用支持向量机技术构建智能系统的信心,还阻碍了支持向量机技术在数据挖掘领域的应用。由于对支持向量机规则提取进行研究有助于解决上述问题,因此该领域正成为机器学习和智能计算界的研究热点。分析了具有代表性的支持向量机规则提取算法,并提出该领域未来的研究重点。     

An integral equation for the second moment function of a geometric process and its numerical solution

In this article, an integral equation satisfied by the second moment function M₂(t) of a geometric process is obtained. The numerical method based on the trapezoidal integration rule proposed by Tang and Lam for the geometric function M(t) is adapted to solve this integral equation. To illustrate the numerical method, the first interarrival time is assumed to be one of four common lifetime distributions, namely, exponential, gamma, Weibull, and lognormal. In addition to this method, a power series expansion is derived using the integral equation for the second moment function M₂(t), when the first interarrival time has an exponential distribution.     

自由曲面逆向工程中的区域性再设计方法

针对自由曲面逆向工程的再设计，提出了区域性再设计方法。此方法的思想是通过调整1个控制点，使得一定区域内的多个控制点按照某种规律随之变化，从而可以实现曲面再设计的要求。基于此思想，给出了区域性再设计方法的理论推导，并进行了实例仿真验证。     

基于规则预置的应急事件指挥控制建模研究

为提高应急事件仿真过程中指挥控制模型的智能化程度和仿真结果的可信度,分析了应急事件指挥实体的指挥控制过程和指挥实体阃的信息交互关系,建立了基于预置规则的指挥控制模型,提出了驱动指挥控制模型运转的、表达应急事件指挥专业化知识的产生式指挥控制规则表达方式,重点研究了指挥控制规则的分类、定义和设计方法,并对该方法在仿真系统中的应用进行了分析,取得了比较理想的模拟效果.     

Optimal production ramp-up in the smartphone manufacturing industry

Motivated by challenges in the smartphone manufacturing industry, we develop a dynamic production ramp-up model that can be applied to economically satisfy nonstationary demand for short-life-cycle products by high-tech companies. Due to shorter life cycles and more rapid evolution of smartphones, production ramp-up has been increasingly critical to the success of a new smartphone. In the production ramp-up, the key challenge is to match the increasing capacity to nonstationary demand. The high-tech smartphone manufacturers are urged to jointly consider the effect of increasing capacity and decreasing demand. We study the production planning problem using a high-dimensional Markov decision process (MDP) model to characterize the production ramp-up. To address the curse of dimensionality, we refine Monte Carlo tree search (MCTS) algorithm and theoretically analyze its convergence and computational complexity. In a real case study, we find that the MDP model achieves revenue improvement by stopping producing the existing product earlier than the benchmark policy. In synthetic instances, we validate that the proposed MCTS algorithm saves computation time without loss of solution quality compared with traditional value iteration algorithm. As part of the Lenovo production solution, our MDP model enables high-tech smartphone manufacturers to better plan the production ramp-up.