Using a birth‐and‐death process to estimate the steady‐state distribution of a periodic queue

If the number of customers in a queueing system as a function of time has a proper limiting steady‐state distribution, then that steady‐state distribution can be estimated from system data by fitting a general stationary birth‐and‐death (BD) process model to the data and solving for its steady‐state distribution using the familiar local‐balance steady‐state equation for BD processes, even if the actual process is not a BD process. We show that this indirect way to estimate the steady‐state distribution can be effective for periodic queues, because the fitted birth and death rates often have special structure allowing them to be estimated efficiently by fitting parametric functions with only a few parameters, for example, 2. We focus on the multiserver M_t/GI/s queue with a nonhomogeneous Poisson arrival process having a periodic time‐varying rate function. We establish properties of its steady‐state distribution and fitted BD rates. We also show that the fitted BD rates can be a useful diagnostic tool to see if an M_t/GI/s model is appropriate for a complex queueing system. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 664–685, 2015     

Optimal FCFS allocation rules for periodic‐review assemble‐to‐order systems

In Assemble‐To‐Order (ATO) systems, situations may arise in which customer demand must be backlogged due to a shortage of some components, leaving available stock of other components unused. Such unused component stock is called remnant stock. Remnant stock is a consequence of both component ordering decisions and decisions regarding allocation of components to end‐product demand. In this article, we examine periodic‐review ATO systems under linear holding and backlogging costs with a component installation stock policy and a First‐Come‐First‐Served (FCFS) allocation policy. We show that the FCFS allocation policy decouples the problem of optimal component allocation over time into deterministic period‐by‐period optimal component allocation problems. We denote the optimal allocation of components to end‐product demand as multimatching. We solve the multi‐matching problem by an iterative algorithm. In addition, an approximation scheme for the joint replenishment and allocation optimization problem with both upper and lower bounds is proposed. Numerical experiments for base‐stock component replenishment policies show that under optimal base‐stock policies and optimal allocation, remnant stock holding costs must be taken into account. Finally, joint optimization incorporating optimal FCFS component allocation is valuable because it provides a benchmark against which heuristic methods can be compared. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 158–169, 2015     

基于空间约束的舰载机出库调度

舰载机在航母上的调度问题是制约舰载机出动和回收的重要因素,以往研究主要集中在飞行甲板调度方面。针对舰载机在航母上的出入库问题进行研究,着力解决舰载机在航母上二、三波次的出动能力。首先对舰载机出库的流程进行分析,梳理制约因素。其次,应用柔性流水车间调度理论对空间约束条件下的舰载机出库调度问题进行建模。再次,对智能粒子群算法应用于舰载机出库调度问题进行分析,对编码进行设计,并给出算法流程。最后,对出库流程进行仿真,计算出最优出库方案及时间,验证了模型的准确性。     

机动管线水顶油排空油水混合物切割工艺研究

排空是机动管线的一项经常性作业。在水顶油排空过程中,不可避免地会产生混油,因此混油的切割工艺尤为关键。通过对机动管线水顶油排空作业终端混油切割流程、设备操作的分析,提出了采用1个三通球阀代替2个闸阀的切割流程,自行搭建了实验平台,测量了三通球阀的流动特性,论证了三通球阀作为机动管线混油切割阀的可行性。实验表明,新流程的使用降低了切割操作难度,提高了切割作业的快速性和准确性。     

超声速转弯流道内的迟滞现象

采用特征线法,通过预先给定中心线马赫数分布,设计了消波的二维超声速转弯流道。研究了不同反压作用下转弯流道内的激波串结构、壁面沿程静压分布和壁面分离区演化等特征,分析了流道内激波串波结构与反压的关系,发现了激波串波头很难稳定在流道拐点附近。当激波串波头靠近流道拐点时,流场具有双解。流动双解区向单解区演化过程中,伴随有大分离区在上、下壁面之间的迅速转换和激波串结构的快速演化。     

相对静止气氛下硼颗粒着火过程

针对相对静止气氛下单颗粒硼的着火过程展开了系统研究,考虑硼颗粒周围径向气相流动以及硼颗粒与周围环境间的传热和传质过程,建立了一维硼颗粒着火模型。分析了硼颗粒在实现着火和未能实现着火两种典型情形下的颗粒相、气相组分参数以及颗粒外表面上Stefan流的变化规律,并对其成因展开了分析。研究表明,在实现着火和未能实现着火两种典型情形下,硼颗粒外表面的Stefan流都会经历先由周围空间流向颗粒表面,而后变为由颗粒表面流向周围空间的过程;考虑颗粒外表面处气相Stefan流作用后,硼颗粒的着火延迟时间减少,且压力越大,影响越大。     

潜艇舱室封闭条件下火灾烟流特性瞬态分析

将场模拟计算模型引入到潜艇非规则舱室火灾的仿真计算研究中,并在分析潜艇非规则结构舱室几何特性对烟气运动影响的基础上,对不同火源功率条件下、火源处于封闭舱室横向中心位置时的烟流瞬态特性进行了三维分析,得到了轴对称火烟流的体积分数、温度分布和烟气层厚度等特性.最后,与相同条件下的近壁面火烟流特性进行对比,发现舱室横向中心位...     

一类具有时滞和捕获的食物链模型的周期解

研究一类具有时滞和捕获的食物链模型,借助重合度理论中的Mawhin延拓引理,得到了保证系统至少存在8个正周期解的充分条件。     

某岩溶区既有公路隧道突水机理分析

岩溶区既有隧道突水是近年来岩溶区隧道运营过程中出现的新问题.以某跨越地下暗河的既有公路隧道为研究对象,推导岩溶突水处的水压力,并建立颗粒流模型,模拟岩溶突水的形成过程.结果表明,随着岩溶水压力逐渐增大,突水通道形成,说明岩溶水压力是导致岩溶区既有公路隧道突水的重要因素.     

狭长密闭空间油气爆炸燃烧数值研究

基于不同控制机理制约不同反应步骤的分步反应燃烧机理,建立了RNG k-ε湍流模型和层流有限速率/涡耗散燃烧模型直接耦合的燃烧模型,采用TVD有限体积法,对充满等体积油气预混气的狭长密闭空间油气爆炸燃烧发生与发展过程进行了数值模拟.为了验证模型的正确性,根据计算结果分析了爆炸流场出现的火焰、压力波和化学反应等特征.所得计...