作战任务总量的迭代收敛性

为降低作战任务的复杂度,提高任务执行效率,研究了作战任务总量及其迭代收敛问题.首先,采用图形和设计结构矩阵,阐明反导作战子任务的复杂联系.再引入任务转移矩阵建立任务总量模型,总结迭代收敛条件.最后,综合考虑资源和时间约束,规划子任务优先级并优化作战资源配置.结合实例分析了任务总量迭代收敛规律的可行性和有效性,为反导作战任务规划提供了理论指导.     

熵权正负理想方案灰色关联法的对地攻击目标选择

针对攻击机对地攻击的目标选择问题,提出了目标攻击优先权的计算方法,将正负理想方案与灰色关联分析方法进行融合并引进熵权的思想为各项优先权赋值,避免了权值确定过于主观的问题,提出了一种目标选择的模型,为飞行员对地攻击目标选择提供了辅助决策,具有较高的实用性。仿真结果也说明了该方法的合理性。     

Analysis of the finite‐source multiclass priority queue with an unreliable server and setup time

In this article, we study a queueing system serving multiple classes of customers. Each class has a finite‐calling population. The customers are served according to the preemptive‐resume priority policy. We assume general distributions for the service times. For each priority class, we derive the steady‐state system size distributions at departure/arrival and arbitrary time epochs. We introduce the residual augmented process completion times conditioned on the number of customers in the system to obtain the system time distribution. We then extend the model by assuming that the server is subject to operation‐independent failures upon which a repair process with random duration starts immediately. We also demonstrate how setup times, which may be required before resuming interrupted service or picking up a new customer, can be incorporated in the model. © 2013 Wiley Periodicals, Inc. Naval Research Logistics, 2013     

Priority queue with customer upgrades

This article is concerned with a general multi‐class multi‐server priority queueing system with customer priority upgrades. The queueing system has various applications in inventory control, call centers operations, and health care management. Through a novel design of Lyapunov functions, and using matrix‐analytic methods, sufficient conditions for the queueing system to be stable or instable are obtained. Bounds on the queue length process are obtained by a sample path method, with the help of an auxiliary queueing system. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012     

Dynamic routing of prioritized warranty repairs

Recent years have seen a strong trend toward outsourcing warranty repair services to outside vendors. In this article we consider the problem of dynamically routing warranty repairs to service vendors when warranties have priority levels. Each time an item under warranty fails, it is sent to one of the vendors for repair. Items covered by higher priority warranty receive higher priority in repair service. The manufacturer pays a fixed fee per repair and incurs a linear holding cost while an item is undergoing or waiting for repair. The objective is to minimize the manufacturer's long‐run average cost. Because of the complexity of the problem, it is very unlikely that there exist tractable ways to find the optimal routing strategies. Therefore, we propose five heuristic routing procedures that are applicable to real‐life problems. We evaluate the heuristics using simulation. The simulation results show that the index‐based “generalized join the shortest queue” policy, which applies a single policy improvement step to an initial state‐independent policy, performs the best among all five heuristics. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

A bivariate optimal replacement policy for a cold standby repairable system with repair priority

In this article, an optimal replacement policy for a cold standby repairable system consisting of two dissimilar components with repair priority is studied. Assume that both Components 1 and 2, after repair, are not as good as new, and the main component (Component 1) has repair priority. Both the sequence of working times and that of the components'repair times are generated by geometric processes. We consider a bivariate replacement policy (T,N) in which the system is replaced when either cumulative working time of Component 1 reaches T, or the number of failures of Component 1 reaches N, whichever occurs first. The problem is to determine the optimal replacement policy (T,N)* such that the long run average loss per unit time (or simply the average loss rate) of the system is minimized. An explicit expression of this rate is derived, and then optimal policy (T,N)* can be numerically determined through a two‐dimensional‐search procedure. A numerical example is given to illustrate the model's applicability and procedure, and to illustrate some properties of the optimal solution. We also show that if replacements are made solely on the basis of the number of failures N, or solely on the basis of the cumulative working time T, the former class of policies performs better than the latter, albeit only under some mild conditions. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

基于评估的任务间隔期维修任务选择方法

针对任务间隔期维修任务的选择问题,提出了求解该问题的方法。首先,给出了维修任务优先级评估指标,以及修理有效性评估指标;然后,提出了AHP-熵-DEA-TOPSIS方法,用来确定维修任务的优先级,以及修理有效性;接着建立基于维修效果的数学规划模型,其目标是使维修方案的加权有效性总和在满足维修资源约束条件下最大化。最后,应用该方法对具体示例进行了求解,验证了方法的有效性和可行性。分析表明所求得的维修任务选择方案能够充分利用各种信息,具有较强的可信性与实用性,有助于维修管理人员对维修任务选择进行优化。     

Discrete‐time analysis of MAP/PH/1 multiclass general preemptive priority queue

We use the matrix‐geometric method to study the MAP/PH/1 general preemptive priority queue with a multiple class of jobs. A procedure for obtaining the block matrices representing the transition matrix P is presented. We show that the special upper triangular structure of the matrix R obtained by Miller [Computation of steady‐state probabilities for M/M/1 priority queues, Oper Res 29(5) (1981), 945–958] can be extended to an upper triangular block structure. Moreover, the subblock matrices of matrix R also have such a structure. With this special structure, we develop a procedure to compute the matrix R. After obtaining the stationary distribution of the system, we study two primary performance indices, namely, the distributions of the number of jobs of each type in the system and their waiting times. Although most of our analysis is carried out for the case of K = 3, the developed approach is general enough to study the other cases (K ≥ 4). © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 662–682, 2003.     

基于目标威胁度的相控阵雷达自适应调度方法

对时间资源的合理安排是相控阵雷达发挥自身优势的关键。将目标威胁度引入调度算法中,与工作方式和任务截止期共同进行综合优先级规划。通过构建目标威胁度的量化模型,使雷达在调度跟踪任务时依目标威胁度大小分配时间。提出了修正价值率和执行威胁率的概念,完善了性能评估指标。通过仿真,全面评价了新算法性能,验证了引入目标威胁度的合理性。结果表明,新算法可以有效提升相控阵雷达对高威胁度目标的处理能力。     

带时间窗的相控阵雷达实时任务调度方法

为了解决传统相控阵雷达任务调度中采用基于工作方式优先级的方法而存在忽略任务时间紧迫性和重要性的问题,提出了一种基于任务自身工作方式优先级、截止期和空闲时间3个特征参数的相控阵雷达任务调度方法,通过调整参数的权重来适应调度器不同的负载情况,并采用时间窗处理发生冲突的任务请求,确保更多的高优先级任务在调度间隔内被调度。仿真结果表明,所提出的方法能够有效提高任务的调度成功率,明显改善调度器性能。