Computational analysis of MMAP[K]/PH[K]/1 queues with a mixed FCFS and LCFS service discipline

This paper studies a queueing system with a Markov arrival process with marked arrivals and PH‐distribution service times for each type of customer. Customers (regardless of their types) are served on a mixed first‐come‐first‐served (FCFS) and last‐come‐first‐served (LCFS) nonpreemptive basis. That is, when the queue length is N (a positive integer) or less, customers are served on an FCFS basis; otherwise, customers are served on an LCFS basis. The focus is on the stationary distribution of queue strings, busy periods, and waiting times of individual types of customers. A computational approach is developed for computing the stationary distribution of queue strings, the mean of busy period, and the means and variances of waiting times. The relationship between these performance measures and the threshold number N is analyzed in depth numerically. It is found that the variance of the virtual (actual) waiting time of an arbitrary customer can be reduced by increasing N. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 399–421, 2000     

Effectiveness of (R,Q) policies in one‐warehouse multiretailer systems with deterministic demand and backlogging

Consider a distribution system with a central warehouse and multiple retailers. Customer demand arrives at each of the retailers continuously at a constant rate. The retailers replenish their inventories from the warehouse which in turn orders from an outside supplier with unlimited stock. There are economies of scale in replenishing the inventories at both the warehouse and the retail level. Stockouts at the retailers are backlogged. The system incurs holding and backorder costs. The objective is to minimize the long‐run average total cost in the system. This paper studies the cost effectiveness of (R, Q) policies in the above system. Under an (R, Q) policy, each facility orders a fixed quantity Q from its supplier every time its inventory position reaches a reorder point R. It is shown that (R, Q) policies are at least 76% effective. Numerical examples are provided to further illustrate the cost effectiveness of (R, Q) policies. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 422–439, 2000     

Optimal policies for M/M/m queue with two different kinds of (N,T)‐policies

In this paper, two different kinds of (N, T)‐policies for an M/M/m queueing system are studied. The system operates only intermittently and is shut down when no customers are present any more. A fixed setup cost of K > 0 is incurred each time the system is reopened. Also, a holding cost of h > 0 per unit time is incurred for each customer present. The two (N, T)‐policies studied for this queueing system with cost structures are as follows: (1) The system is reactivated as soon as N customers are present or the waiting time of the leading customer reaches a predefined time T, and (2) the system is reactivated as soon as N customers are present or the time units after the end of the last busy period reaches a predefined time T. The equations satisfied by the optimal policy (N*, T*) for minimizing the long‐run average cost per unit time in both cases are obtained. Particularly, we obtain the explicit optimal joint policy (N*, T*) and optimal objective value for the case of a single server, the explicit optimal policy N* and optimal objective value for the case of multiple servers when only predefined customers number N is measured, and the explicit optimal policy T* and optimal objective value for the case of multiple servers when only predefined time units T is measured, respectively. These results partly extend (1) the classic N or T policy to a more practical (N, T)‐policy and (2) the conclusions obtained for single server system to a system consisting of m (m ≥ 1) servers. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 240–258, 2000     

分层介质系统声透射问题的传递矩阵方法

分层介质中的声透射问题一直是应用声学中的一个棘手问题 ,因为随着层数增加 ,需要求解的方程数目也成比例地增加 ,要按常规方法得到解析表达式几乎不可能 .该文引入传递矩阵的概念使这一问题变得相当简单 ,而且可以很方便地用于程序化处理 ,对于吸声材料的结构设计具有很大的实用价值 .     

防空导弹横向振动响应计算研究

随机气流与舵面的运动将给弹体造成随机载荷 ,用模态叠加法编写程序计算了该激励产生的随机响应     

复合推进剂中硝酸铵的改性研究

在分析硝酸铵的多晶现象和吸湿特性的基础上 ,探讨了硝酸铵的改性技术。采用热分析法研究了无机添加剂对硝酸铵晶型转变的影响 ,并用高分子表面处理剂对硝酸铵进行表面处理。结果表明 ,这种方法可以有效地改善硝酸铵的晶体结构和吸湿特性 ,为硝酸铵在复合推进剂中的应用提供了实验和理论依据。     

气体化学反应速率的 DSMC 方法

为预报化学反应过程,应用ＤＳＭＣ方法研究了双原子分子的离解反应,讨论了高温情况下（Ｔ～Ｅａ／ｋ）采用由实验测定得到的反应速率与气体温度间Ａｒｒｈｅｎｉｕｓ经验关系式的可靠性问题,分析了振动热非平衡效应对于离解反应速率的影响,给出了由ＤＳＭＣ方法得到的离解反应速率与气体温度的关系曲线。     

铝基水反应金属燃料性能初步研究

提出水反应金属燃料双反应区模型,结合化学反应过程对其进行了热力特性分析,初步研究了铝基水反应金属燃料配方等因素对发动机性能的影响。     

GPS一维弹道修正引信修正算法研究

通过分析基于GPS测量的一维弹道修正引信以及GPS接收机本身数据的特点,提出了一种以GPS测量数据作为初始数据,结合阻尼弹道系数对部分弹道进行解算的实时弹道修正算法,并进行了仿真试验。