Callable products for an implicit time model with dependent demands

Capacity providers such as airlines and hotels have traditionally increased revenues by practicing market segmentation and revenue management, enabling them to sell the same capacity pool to different consumers at different prices. Callable products can enhance profits and improve consumers' welfare by allowing the firm to broker capacity between consumers with different willingness to pay. A consumer who buys a callable product gives the capacity provider the right to recall capacity at a prespecified recall price. This article studies callable products in the context of the model most commonly used in industry, which handles time implicitly imposing fewer restrictions on the nature of randomness compared to the Poisson arrival process favored in academia. In the implicit time model, capacity providers set booking limits to protect capacity for future high-fare demand. Our numerical study identifies conditions where callable products result in significant gains in profits.     

顾及噪声影响的GNSS高程序列预测Prophet方法

全球导航卫星系统(global navigation satellite system, GNSS)高程时间序列具有非平稳、非线性、含噪声等特点,在深入研究Prophet预测模型的基础上,针对Prophet预测模型对于趋势信号和周期信号有良好预测效果这一特性,提出一种引入经验模态分解(empirical mode decomposition, EMD)的“降噪—分解—预测”组合GNSS高程时间序列预测方法。该方法先将原始时间序列进行EMD降噪,再对降噪后的序列进行分解预测,最后重构各分量预测信号为最终预测序列。通过对实测高程数据进行研究,实验结果表明：降噪后信号的平均信噪比为10.30dB,能量百分比平均为88.75%;利用所构建的短期预测方法,GNSS高程时间序列预测结果的均方根误差分别平均提升26.41%和14.88%;平均百分比误差分别平均提升18.92%和7.91%,验证了组合预测方法的有效性及实用性。     

潜艇上浮运动数值计算方法的研究与验证

预报潜艇上浮运动是探索研究潜艇上浮运动控制规律以及潜艇安全上浮的前提。就潜艇上浮运动的数值计算方法和计算流程进行了详细介绍,对数值计算方法中的湍流模型及离散格式等进行了优选。基于模型上浮试验结果,对数值计算的不确定度进行了分析且对数值计算结果进行了验证。证明了该数值计算的可靠性,并发现数值计算结果与试验结果很接近,验证了该数值计算方法的可行性,说明该数值计算方法和试验可为潜艇上浮运动的研究提供参考和借鉴。     

链约束下加工时间恶化的Flow Shop排序问题

讨论作业具有线性加工时间,作业间具有链约束的两台处理机流水作业排序问题,目标函数为极小化完工时间。在作业加工时间简单线性恶化下,提出作业的非负开始和停止延迟恶化率,构造了满足约束条件的复合作业。在此基础上,给出作业间具有平行链约束的两台处理机流水作业排序问题的最优多项式算法。     

高铁大风预警模式挖掘

高铁大风预警的传统方法基于风速预测,当瞬时值高于限速阈值时触发报警,存在大量的误报警,不必要的限速控制影响了高铁行车效率。创新地提出了基于序列模式的预警方法,旨在挖掘报警事件前序数据中的频繁模式,找出报警事件的变化规律,通过滤除与非预警序列共有的频繁模式,得到预警序列独有的序列特征,构建了预警模式库。经兰新高铁沿线的监测数据验证,该方法在提高预测准确率的基础上降低了漏报率,同时有效地减少了模式匹配所需的时间,为提前预警预留充分的时间窗口,更加符合实际应用的需求。     

Application of Markov renewal theory and semi-Markov decision processes in maintenance modeling and optimization of multi-unit systems

In this paper, a condition-based maintenance model for a multi-unit production system is proposed and analyzed using Markov renewal theory. The units of the system are subject to gradual deterioration, and the gradual deterioration process of each unit is described by a three-state continuous time homogeneous Markov chain with two working states and a failure state. The production rate of the system is influenced by the deterioration process and the demand is constant. The states of the units are observable through regular inspections and the decision to perform maintenance depends on the number of units in each state. The objective is to obtain the steady-state characteristics and the formula for the long-run average cost for the controlled system. The optimal policy is obtained using a dynamic programming algorithm. The result is validated using a semi-Markov decision process formulation and the policy iteration algorithm. Moreover, an analytical expression is obtained for the calculation of the mean time to initiate maintenance using the first passage time theory.     

北斗系统新民用导航电文历书参数算法与性能分析

研究新公布的北斗民用导航电文中的两类历书与北斗二号导航电文历书的差异,对比分析各类历书对接收机首次定位时间的影响。利用实际的历书数据,比较不同历书类型的用户算法,分析不同龄期数据对接收机首次定位性能的影响。结果表明,高精度历书在1周的数据龄期内性能较为稳定,中等精度历书精度稍逊于高精度历书,但由于简化了电文空间,能接近高精度历书性能。简约历书进一步简化了参数数目和电文空间,尽管位置误差达到了数百千米,但却能在数月之后保持相应精度,有利于缩短接收机首次定位时间。     

基于改进协同遗传算法的有效载荷系统功能序列规划方法

针对传统回溯算法在求解基于知识模型的有效载荷系统功能序列规划问题中搜索效率低的问题,提出一种基于"择劣变异"(Worst Individual Mutation,WIM)策略的协同遗传算法(Co-evolutionary Genetic Algorithm,CGA)的改进算法WIM-CGA。该算法在遗传过程中采用双路线进化方案,即"择优实施标准遗传过程,择劣实施变异操作",达到提高求解精确度及搜索效率的目的。仿真结果表明,同等测试条件下,当功能规模为50,约束密度为1.0时,WIM-CGA算法在限定时间内最优解的平均精确度比优化的回溯算法提高了54.15%,比CGA算法提高了6.18%,且当所得解的精确度大于90%时,WIM-CGA算法比CGA算法的迭代次数减少了65.79%,耗时降低了48.97%,显著提高了功能序列规划的效率。     

内置频率对Duffing振子微弱二进制相移键控信号盲检测影响

采用Duffing振子实现对微弱二进制相移键控（Binary Phase Shift Keying, BPSK）信号的盲检测时,Duffing系统输出的周期态和混沌态转换之间存在过渡带。针对这一问题,推导出过渡带时长和Duffing系统内置频率之间的关系表达式;指出内置频率越高,过渡带时间越短;仿真实验给出时间频率响应曲线。内置频率的提高,会降低系统检测微弱信号的灵敏度。针对这一问题,推导出周期态下Duffing系统输出幅度作为因变量、内置频率作为自变量的表达式;仿真实验给出幅频响应曲线。针对微弱BPSK信号盲检测,建立变尺度方法和检测阵列相结合的基于S变换提取Duffing系统输出幅度包络的微弱BPSK信号盲检测模型,仿真实验验证了模型方法的有效性。     

Cell structure of microcellular combustible object foamed by supercritical carbon dioxide

In order to solve the issue that the combustible objects for cased telescoped ammunition (CTA) didn't burn completely during the combustion process, the microcellular combustible objects were foamed with numerous cells in the micron order to improve the combustion performance by the supercritical carbon dioxide (SCCO₂) foaming technology. As the cell structure determined the combustion properties of microcellular combustible objects, the solubility of SCCO₂ dissolved into the combustible objects was obtained from the gravimetric method, and scanning electron microscope (SEM) was applied to characterize the cell structure under various process conditions of solubility, foaming temperature and foaming time. SEM images indicate that the cell diameter of microcellular combustible objects is in the level of 1 μm and the cell density is about 10¹¹ cell⋅cm⁻³. The microcellular combustible objects fabricated by the SCCO₂ foaming technology are smooth and uniform, and the high specific surface area of cell structure can lead to the significant combustion performance of microcellular combustible object for CTA in the future.