基于联合作战能力的武器装备体系需求研究

从基于联合作战能力的核心思想入手,分析了该思想在武器装备体系需求分析中的重要作用,探讨了基于联合作战能力的武器装备体系需求研究新模式,并提出了该需求研究中需要解决的问题．有关结论对于开展武器装备体系需求研究工作具有积极地指导意义．     

模糊优选动态规划在稀缺军事资源配置中的应用

在对稀缺军事资源配置问题进行数学描述的基础上,建立起评价指标相对优属度计算模型,实现了局部优选。在此基础上,通过分配目标综合评价模型实现了对局部优选数据的综合处理,最后建立资源分配的动态规划模型实现了对方案的优选。最后通过实例演示了解决该类问题的具体方法和步骤,对部队建设具有一定的参考和应用价值。     

二部图的(g,f)匹配

本文证明了二部图存在(g,f)匹配和f 因子的充要条件以及有关的几个结果,并且给出了求二部图的最大(g,f)匹配、最小(g,f)匹配和最小权最大f 匹配、最小权(g,f)匹配、最大权(g,f)匹配的算法。     

动态武器目标分配问题的马尔可夫性

动态武器目标分配(weapon target assignment,WTA)问题是军事运筹学研究的重要理论问题,也是作战指挥决策中迫切需要解决的现实问题。在对动态WTA问题进行描述分析的基础上,运用随机过程理论证明了动态WTA过程的马尔可夫性;给出了该马尔可夫决策过程的状态转移概率的解析表达式,并对其状态特点进行了简要分析。研究结果可以为动态WTA及相关问题的研究提供理论和方法依据。     

利用动态综合作战能力指数筹划海战兵力需求

针对目前海军作战兵力需求问题,建立了海军作战的物理模型,并提出了用动态综合作战能力指数筹划海战兵力需求的数学模型和算法,采用战例统计法和专家打分法计算出战斗力系数.并且以航空兵空中争夺为例进行了因素分析、参数选取、效能计算并得出了明确结论.计算结果表明,采用动态综合作战能力指数作为海战兵力需求指标是可行的;信息作战能力在现代海战中具有极其重要的作用.     

整数线性规划问题的一个新算法

本文给出求解整数线性规划问题的一个算法。基本思想是通过求出其伴随线性规划问题的最优单纯形表,把整数线性规划化成正整数系数的不定方程,然后从不定方程的非负整数解集中选取一组满足整数线性规划的约束条件的解,作为整数线性规划的最优解。     

联合作战电磁态势生成面临的挑战及对策

掌握电磁态势是联合作战的制胜前提之一。通过梳理联合作战电磁态势信息面临的需求,分析现阶段联合作战电磁态势生成面临的主要挑战,并提出对策建议。研究表明,优化电磁态势产品类型、生成模式和显示界面,有利于指挥人员认知和把握电磁态势,促进联合作战行动效能发挥。     

Optimal timing of switches between product sales for sports and entertainment tickets

Like airlines and hotels, sports teams and entertainment venues can benefit from revenue management efforts for their ticket sales. Teams and entertainment venues usually offer bundles of tickets early in their selling horizon and put single‐event tickets on sale at a later date; these organizations must determine the best time to offer individual tickets because both types of ticket sales consume the same fixed inventory. We model the optimal a priori timing decision for a seller with a fixed number of identical tickets to switch from selling the tickets as fixed bundles to individual tickets to maximize the revenue realized before the start of the performance season. We assume that bundle and single‐ticket customers each arrive according to independent, nonhomogeneous Markovian death processes with a linear death rate that can vary over time and that the benefit from selling a ticket in a package is higher than from selling the ticket individually. We characterize the circumstances in which it is optimal for the seller to practice mixed bundling and when the seller should only sell bundles or individual tickets, and we establish comparative statics for the optimal timing decision for the special case of constant customer arrival rates. We extend our analytical results to find the optimal time for offering two groups of tickets with high and low demand. Finally, we apply the timing model to a data set obtained from the sports industry. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

Optimal resource allocation and redistribution strategy in military conflicts with Lanchester square law attrition

We address the problem of optimal decision‐making in conflicts based on Lanchester square law attrition model where a defending force needs to be partitioned optimally, and allocated to two different attacking forces of differing strengths and capabilities. We consider a resource allocation scheme called the Time Zero Allocation with Redistribution (TZAR) strategy, where allocation is followed by redistribution of defending forces, on the occurrence of certain decisive events. Unlike previous work on Lanchester attrition model based tactical decision‐making, which propose time sequential tactics through an optimal control approach, the present article focuses on obtaining simpler resource allocation tactics based on a static optimization framework, and demonstrates that the results obtained are similar to those obtained by the more complex dynamic optimal control solution. Complete solution for this strategy is obtained for optimal partitioning of resources of the defending forces. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008