Inventory policies for a make‐to‐order system with a perishable component and fixed ordering cost

We consider a make‐to‐order production system where two major components, one nonperishable (referred to as part 1) and one perishable (part 2), are needed to fulfill a customer order. In each period, replenishment decisions for both parts need to be made jointly before demand is realized and a fixed ordering cost is incurred for the nonperishable part. We show that a simple (s_n,S,S) policy is optimal. Under this policy, S along with the number of backorders at the beginning of a period if any and the availability of the nonperishable part (part 1) determines the optimal order quantity of the perishable part (part 2), while (s_n,S) guide when and how much of part 1 to order at each state. Numerical study demonstrates that the benefits of using the joint replenishment policy can be substantial, especially when the unit costs are high and/or the profit margin is low. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009     

飞航导弹齐射发射时间的一种快速规划算法

多发飞航导弹齐射时,各发导弹之间存在碰撞或者相互干扰的可能,为了保证导弹飞行安全,需要对各发导弹的飞行管道进行分析,以此规划各发导弹发射时间.为此在对飞航导弹初段航迹分析的基础上,建立了一种发射时间的快速规划算法,实现了以较小的计算量规划发射时间,并且通过仿真计算证实了该算法是正确的.     

天基预警系统资源调度方法

对面向导弹预警任务的天基预警系统中的低轨卫星资源调度问题进行了研究.对预警任务的特性进行分析,提出了一种预警任务规划与分解方法以减少任务对资源占用时间的需求;在此基础上建立了该问题的约束满足CSP调度模型;针对该模型变量多、解空间规模庞大的特点以及对求解算法时效性的要求,设计了一种基于局部解空间跳出机制的改进型遗传算法MGA.仿真表明该模型与算法在给定时间内能够得到满意的调度方案.     

多属性群决策理论的备件筛选方法

利用多属性群决策方法和多目标规划理论,建立了筛选武器装备维修备件的模型和方法.该方法首先按照多属性群决策方法对各种维修备件进行综合排序,然后再用多目标规划理论确定维修备件的选择方案.对该方法具体应用时的若干问题也进行了探讨.     

动态规划在消防增援调度中的应用

由于各消防中队一般规模较小,对于较大规模的火灾需要多个消防队共同救护,此时若能够实现增援调度的最优化可以提高这些同时出现的火灾被全部扑灭的概率。利用多阶段动态规划对增援调度进行了研究,并分析了具体案例。通过分析得出此方法有助于改善消防资源分配状况,以实现最大程度地减小经济损失。     

一种基于多目标优化的QoS路由交互式算法

为了满足通信网络中一些特定业务对于多个网络指标性能的同时要求 ,研究了一类基于多目标决策的QoS路由算法。通过选取带宽作为约束条件 ,把时延和丢失率作为优化目标 ,建立了QoS路由选择的多目标非线性整数规划模型 ,并给出了一种求解模型的交互式算法。该算法通过逐步调整目标函数的上界 ,压缩目标函数的搜索空间来满足决策者的要求和网络条件。实例计算结果表明了算法的可行性     

基于信息熵的炮兵射击目标选优分析

针对炮兵射击目标选择的特点,运用信息熵权重和层次分析方法,建立射击目标选择的数学模型,得到炮兵射击目标的合理排序。最后得出利用信息熵和层次分析法对射击目标进行选择,比单纯运用层次分析法收敛速度快,又利于计算机软件实现,为炮兵作战指挥自动化系统辅助决策提供了一种新的方法。     

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.     

多传感器任务分派的快速启发式规划新算法

在多目标多传感器管理中经常采用的线性规划算法中,随着传感器个数和目标个数的增加,计算量会爆炸式增长,使得跟踪系统不能实时计算,为此,根据传感器管理中线性规划的特点,提出了一种快速启发式算法,考虑组合中的传感器个数将组合的分配效用转化为权重,递推分配权重最大的组合,逐步减小组合和目标的个数.证明了权重最大的组合分派能实现组合中的传感器的最大效用.仿真结果表明该算法在与采用线性规划方法的跟踪精度相当的情况下,能有效地减小计算量.     

A novel modeling approach for express package carrier planning

Express package carrier networks have large numbers of heavily‐interconnected and tightly‐constrained resources, making the planning process difficult. A decision made in one area of the network can impact virtually any other area as well. Mathematical programming therefore seems like a logical approach to solving such problems, taking into account all of these interactions. The tight time windows and nonlinear cost functions of these systems, however, often make traditional approaches such as multicommodity flow formulations intractable. This is due to both the large number of constraints and the weakness of the linear programming (LP) relaxations arising in these formulations. To overcome these obstacles, we propose a model in which variables represent combinations of loads and their corresponding routings, rather than assigning individual loads to individual arcs in the network. In doing so, we incorporate much of the problem complexity implicitly within the variable definition, rather than explicitly within the constraints. This approach enables us to linearize the cost structure, strengthen the LP relaxation of the formulation, and drastically reduce the number of constraints. In addition, it greatly facilitates the inclusion of other stages of the (typically decomposed) planning process. We show how the use of templates, in place of traditional delayed column generation, allows us to identify promising candidate variables, ensuring high‐quality solutions in reasonable run times while also enabling the inclusion of additional operational considerations that would be difficult if not impossible to capture in a traditional approach. Computational results are presented using data from a major international package carrier. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008