Technical note: Finite-time regret analysis of Kiefer-Wolfowitz stochastic approximation algorithm and nonparametric multi-product dynamic pricing with unknown demand

We consider the problem of nonparametric multi-product dynamic pricing with unknown demand and show that the problem may be formulated as an online model-free stochastic program, which can be solved by the classical Kiefer-Wolfowitz stochastic approximation (KWSA) algorithm. We prove that the expected cumulative regret of the KWSA algorithm is bounded above by where κ₁, κ₂ are positive constants and T is the number of periods for any T = 1, 2, … . Therefore, the regret of the KWSA algorithm grows in the order of , which achieves the lower bounds known for parametric dynamic pricing problems and shows that the nonparametric problems are not necessarily more difficult to solve than the parametric ones. Numerical experiments further demonstrate the effectiveness and efficiency of our proposed KW pricing policy by comparing with some pricing policies in the literature.     

硅整流无刷发电机供电系统动态性能的研究

分析了坦克的供电系统中采用硅整流无刷发电机时的工作特点,建立了这种系统的数学模型,举例说明了计算方法,并在文章的最后进行了评价.     

低温推进剂供应管道系统充填过程的动力学模型

研究了低温推进剂液体火箭发动机供应管道系统充填过程的建模问题。低温推进剂的充填相变过程采用均相模型,对推进剂充填管道系统进行有限元分割,应用基本守恒定律于充满推进剂的单元和充满气体的单元,两相单元采用等效流容方程,建立了低温推进剂管道充填过程的有限元状态变量模型。充填的容腔视为两相单元,建立了其动力学模型。利用本文的模型,对液氢、液氧推进剂的管道充填过程进行了仿真计算,给出了有关计算结果。     

潜艇耐压壳动力学响应和声辐射研究概况与趋势

论述了流场中潜艇耐压壳自由振动、受简谐力或力矩作用和受冲击载荷情况下的动力学响应和声辐射研究概况 ,讨论了带有阻尼材料的复合潜艇耐压壳的动力学和声辐射研究情况 ,以及阻尼材料的破坏研究概况 ,并指出了今后的研究方向     

试论GIS在城市规划中的应用

GIS作为近年来兴起的一门信息科学 ,在许多方面有着广泛的应用。本文在论述了城市规划一般原理的基础上 ,探讨GIS在其中应用的可能性及如何应用GIS为城市规划服务     

Waiting time analysis for a queueing system with time‐limited service and exponential timer

We consider a single‐queue with exhaustive or gated time‐limited services and server vacations, in which the length of each service period at the queue is controlled by a timer, i.e., the server serves customers until the timer expires or the queue becomes empty, whichever occurs first, and then takes vacations. The customer whose service is interrupted due to the timer expiration may be attended according to nonpreemptive or preemptive service disciplines. For the M/G/1 exhaustive/gated time‐limited service queueing system with an exponential timer and four typical preemptive/nonpreemptive service disciplines, we derive the Laplace—Stieltjes transforms and the moment formulas for waiting times and sojourn times through a unified approach, and provide some new results for these time‐limited service disciplines. © John Wiley & Sons, Inc. Naval Research Logistics 48: 638–651, 2001.     

钢丝绳联轴器的性能试验及数学模型

对钢丝绳联轴器进行了动刚度性能实验 ,在此基础上建立了数学模型 ,并进行了参数辨识 ,指出钢丝绳联轴器具有强非线性 ,对减小轴系扭转振动具有良好的效果     

面向Agent的海军军械勤务辅助支持系统的逻辑构建

结合分布式人工智能中的Agent技术和军械勤务辅助支持系统的特点 ,研究了面向A gent的军械勤务辅助支持结构。结合该系统介绍了Agent和多Agent系统的概念 ,讨论了A gent的通信机制     

中锰铸钢坦克履带板连接筋的喷丸强化处理

针对新研制的中锰铸钢坦克履带板装车考核中的特点,提出了对连接筋实施喷丸强化处理的预强化方案.分析了喷丸强化层的组织和硬化特性;还通过连接筋的3点弯曲疲劳试验,探讨了喷丸强化对连接筋疲劳裂纹形成的影响.研究认为,对中锰铸钢坦克履带板连接筋进行喷丸强化预处理,是提高其整体使用寿命的重要途径.     

Scheduling to minimize the total compression and late costs

We consider a single-machine scheduling model in which the job processing times are controllable variables with linear costs. The objective is to minimize the sum of the cost incurred in compressing job processing times and the cost associated with the number of late jobs. The problem is shown to be NP-hard even when the due dates of all jobs are identical. We present a dynamic programming solution algorithm and a fully polynomial approximation scheme for the problem. Several efficient heuristics are proposed for solving the problem. Computational experiments demonstrate that the heuristics are capable of producing near-optimal solutions quickly. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 67–82, 1998