The effects of information on a queue with balking and phase‐type service times

This article generalizes the models in Guo and Zipkin, who focus on exponential service times, to systems with phase‐type service times. Each arriving customer decides whether to stay or balk based on his expected waiting cost, conditional on the information provided. We show how to compute the throughput and customers' average utility in each case. We then obtain some analytical and numerical results to assess the effect of more or less information. We also show that service‐time variability degrades the system's performance. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

Nash bargaining over allocations in inventory pooling contracts

When facing uncertain demand, several firms may consider pooling their inventories leading to the emergence of two key contractual issues. How much should each produce or purchase for inventory purposes? How should inventory be allocated when shortages occur to some of the firms? Previously, if the allocations issue was considered, it was undertaken through evaluation of the consequences of an arbitrary priority scheme. We consider both these issues within a Nash bargaining solution (NBS) cooperative framework. The firms may not be risk neutral, hence a nontransferable utility bargaining game is defined. Thus the physical pooling mechanism itself must benefit the firms, even without any monetary transfers. The firms may be asymmetric in the sense of having different unit production costs and unit revenues. Our assumption with respect to shortage allocation is that a firm not suffering from a shortfall, will not be affected by any of the other firms' shortages. For two risk neutral firms, the NBS is shown to award priority on all inventory produced to the firm with higher ratio of unit revenue to unit production cost. Nevertheless, the arrangement is also beneficial for the other firm contributing to the total production. We provide examples of Uniform and Bernoulli demand distributions, for which the problem can be solved analytically. For firms with constant absolute risk aversion, the agreement may not award priority to any firm. Analytically solvable examples allow additional insights, e.g. that higher risk aversion can, for some problem parameters, cause an increase in the sum of quantities produced, which is not the case in a single newsvendor setting. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

连续波DF/HF化学激光器喷管中氟原子复合计算

氟原子是连续波DF/HF化学激光器泵浦反应的重要参与者,其浓度分布尤其直接影响冷反应型激光器的泵浦效率及激射强度.在参与反应之前,氟原子将受到三体复合和壁面复合因素的影响而部分复合为氟分子.研究该因素对氟原子浓度的影响对激光器的分析优化是十分重要的.已有一定的实验方法可对其浓度进行测量研究,并建立了理论模型描述.将其与计算流体力学方法相结合对氟原子分布进行计算,研究了该方法的有效性,并对不同收缩段型面下氟原子复合进行了计算研究.     

基于先验信息的分布式星载单基线SAR/ATI方法

在综述了分布式星载SAP/ATI技术的基础上,阐述了单基线SAP/ATI技术的原理和杂波、噪声对检测、测速性能的影响,给出了一种基于先验信息的单基线SAR/ATI检测和测速方法,最后基于多功能的天基雷达仿真系统进行了仿真实验和性能分析.     

兵力展开问题研究

如何将基地的兵力以最短时间展开到多个阵地中,是运输问题中的一种。为解决此问题对著名的兵力展开问题进行了研究。建立了兵力展开问题的数学模型,此模型是一个混合整数规划模型。提出了一种求解方法,该方法可解决类似的混合整数规划问题。最后给出了一个实例。     

常规导弹战前运输任务优化模型

制定常规导弹战前运输计划时,各车辆运输时间和运输路线的安排是一个组合优化问题.运用军事运筹学和不确定性优化理论,充分考虑节点冲突性、车辆隐蔽性、任务时间、道路容量等因素,建立了运输任务方案的优化模型.该研究为常规导弹波次作战计划的制定和优化提供模型支持,有助于提高常规导弹作战指挥自动化和部队的生存能力.     

顺序输送管道混油浓度PHOENICS数值模拟

针对现有一些顺序输送混油计算公式中存在的问题,在κ-ε紊流模型和使用壁面函数法处理近壁区问题的理论基础上,提出了顺序输送混油新的模型,并利用PHOENICS软件成功地对该模型进行了数值求解.且首次以图像的形式直观地显示出管内的混油浓度分布,并通过浓度曲线的对比,对油品输送次序对混油的影响进行了分析.研究结果表明:计算机模拟能够为顺序输送混油机理的研究提供一个较为准确而便利的手段.同时也对影响混油的其他一些因素(高差、阀件、温度等)的研究提供了参考与帮助.     

A duality‐based relaxation and decomposition approach for inventory distribution systems

We propose a new method for making the inventory replenishment decisions in distribution systems. In particular, we consider distribution systems consisting of multiple retailers that face random demand and a warehouse that supplies the retailers. The method that we propose is based on formulating the distribution problem as a dynamic program, and relaxing the constraints that ensure the nonnegativity of the shipments to the retailers, by associating Lagrange multipliers with them. We show that our method provides lower bounds on the value functions, and a good set of values for the Lagrange multipliers can be obtained by maximizing a concave function in a relatively straightforward manner. Computational experiments indicate that our method can provide significant improvements over the traditional approaches for making the inventory replenishment decisions, in terms of both the tightness of the lower bounds on the value functions and the performance of the policies. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

An optimal critical level policy for inventory systems with two demand classes

Traditional inventory systems treat all demands of a given item equally. This approach is optimal if the penalty costs of all customers are the same, but it is not optimal if the penalty costs are different for different customer classes. Then, demands of customers with high penalty costs must be filled before demands of customers with low penalty costs. A commonly used inventory policy for dealing with demands with different penalty costs is the critical level inventory policy. Under this policy demands with low penalty costs are filled as long as inventory is above a certain critical level. If the inventory reaches the critical level, only demands with high penalty costs are filled and demands with low penalty costs are backordered. In this article, we consider a critical level policy for a periodic review inventory system with two demand classes. Because traditional approaches cannot be used to find the optimal parameters of the policy, we use a multidimensional Markov chain to model the inventory system. We use a sample path approach to prove several properties of this inventory system. Although the cost function is not convex, we can build on these properties to develop an optimization approach that finds the optimal solution. We also present some numerical results. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

音圈电机驱动的快刀伺服系统建模与性能分析

复杂面形,结构零件的应用范围越来越广,往往一个零件上既有复杂面形也有微小结构.为了实现复杂面形/结构零件的高效加工,分析了快刀伺服加工方式的特点,设计并研制了音圈电机驱动的快刀伺服系统;基于动力学和电磁学分析,建立了快刀伺服系统的传递函数模型,并对控制方法进行了设计;在此基础上.通过实验对快刀伺服系统进行了性能测试,实验结果表明本文所研制的快刀伺服系统具有较高的运动分辨率、定位精度和工作频响,能够作为快刀伺服加工的进刀装置.