基于混合粒子群优化的多目标决策新方法

多目标优化问题中的一个关键在于合理地评判各有效解的优劣。通过引入灰色系统理论中灰色关联度的概念作为评判准则,结合粒子群优化算法进行有约束多目标规划问题的研究。提出了一种新的不可行解的保留策略,进化过程中以此策略保留适量的不可行解,有利于增强对约束边界附近可能的最优解的搜索,同时,针对粒子群优化算法的容易陷入局部最优的缺点,实现了以粒子群优化为载体的混合算法:即对全局极值邻域进一步混沌搜索寻优。仿真结果表明改进的算法对多目标决策问题是有效的。     

Optimal control of a production‐inventory system with both backorders and lost sales

We consider the optimal control of a production inventory‐system with a single product and two customer classes where items are produced one unit at a time. Upon arrival, customer orders can be fulfilled from existing inventory, if there is any, backordered, or rejected. The two classes are differentiated by their backorder and lost sales costs. At each decision epoch, we must determine whether or not to produce an item and if so, whether to use this item to increase inventory or to reduce backlog. At each decision epoch, we must also determine whether or not to satisfy demand from a particular class (should one arise), backorder it, or reject it. In doing so, we must balance inventory holding costs against the costs of backordering and lost sales. We formulate the problem as a Markov decision process and use it to characterize the structure of the optimal policy. We show that the optimal policy can be described by three state‐dependent thresholds: a production base‐stock level and two order‐admission levels, one for each class. The production base‐stock level determines when production takes place and how to allocate items that are produced. This base‐stock level also determines when orders from the class with the lower shortage costs (Class 2) are backordered and not fulfilled from inventory. The order‐admission levels determine when orders should be rejected. We show that the threshold levels are monotonic (either nonincreasing or nondecreasing) in the backorder level of Class 2. We also characterize analytically the sensitivity of these thresholds to the various cost parameters. Using numerical results, we compare the performance of the optimal policy against several heuristics and show that those that do not allow for the possibility of both backordering and rejecting orders can perform poorly.© 2010 Wiley Periodicals, Inc. Naval Research Logistics 2010     

Minimizing the false alarm rate in systems with transient abnormality

We consider a stochastic partially observable system that can switch between a normal state and a transient abnormal state before entering a persistent abnormal state. Only the persistent abnormal state requires alarms. The transient and persistent abnormal states may be similar in appearance, which can result in excess false alarms. We propose a partially observable Markov decision process model to minimize the false alarm rate, subject to a given upper bound on the expected alarm delay time. The cost parameter is treated as the Lagrange multiplier, which can be estimated from the bound of the alarm delay. We show that the optimal policy has a control‐limit structure on the probability of persistent abnormality, and derive closed‐form bounds for the control limit and present an algorithm to specify the Lagrange multiplier. We also study a specialized model where the transient and persistent abnormal states have the same observation distribution, in which case an intuitive “watchful‐waiting” policy is optimal. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 320–334, 2016     

军事攻防中的多属性资源分配对策模型

针对资源受限情形下的两阶段攻防资源分配问题,提出一种基于多属性决策的资源分配对策模型。防守者首先将有限的防护资源分配到不同的目标上,继而进攻者选择一种威胁组合方式对目标实施打击。基于博弈论相关知识,模型的求解结果可以使防守者最小化自身损失,使进攻者最大化进攻收益。同时,针对模型的特点,给出了一些推论和证明。通过一个示例验证了模型的合理性以及相关推论的准确性,能够为攻、防双方规划决策提供辅助支持。     

基于不确定语言多属性决策的目标威胁度排序

针对影响不同类目标威胁度的因素建立了目标威胁度指标体系,并在此基础上,利用不确定语言多属性决策模型对不同类目标威胁度进行排序。该方法不仅充分体现了不同类目标威胁度的影响因素,还充分利用了专家和决策人员的经验,能较好地反映现代战场中目标威胁度的实际情况,利于提高智能化程度;模型适应性较强,计算量小,符合军事系统实时性的特殊要求,使评估结果更具有可信性和实用性。     

基于熵权多目标决策的雷达网战损装备抢修排序方法

分析了熵权的理论基础，给出了一种基于熵权多目标决策的雷达网战损装备抢修排序方法。其中，采用熵权与决策者的主观权重相结合的方法确定综合权重，使权重的确定更加合理。最后通过实例对该方法的可行性和实用性进行了说明。     

基于SD方法的作战指挥决策系统效能分析模型

指挥决策系统是一个非线性的复杂系统,用一般的解析方法难以对其进行效能评估。在分析指挥决策系统构成的基础上,根据指挥决策的4个要素,建立了指挥决策系统的评估指标体系;综合考虑战术和技术指标,从指挥员影响度,指挥机关影响度,指挥信息系统影响度和决策信息影响度4个方面建立了指挥决策系统效能分析模型,前两项指标可以采用层次分析法等方法确定其效能值,后两项指标利用系统动力学方法,结合实际作战的具体战术指标建模,实现了效能值的动态评估分析。     

混合多属性决策投影算法的装甲分队目标价值评估

科学评价混合多属性目标价值是装甲分队作战决策的基础,为提高信息化装甲分队作战辅助决策水平,建立了混合多属性评估矩阵并运用投影算法完成目标价值评估与排序。实例分析表明,基于混合多属性决策投影算法可合理有效地评估多目标价值,为分队指挥员科学决策提供重要数据支持。     

基于可视化交互的国动指挥所设计

国防动员的指挥控制中大量的信息数据(如部队需求、地方资源)和错综复杂的多方关系,使得指挥员难以在短时间内从浩如烟海的信息中提取有用的决策信息和作出快速准确地指挥协调。为此,着眼未来指挥所的发展趋势,提出基于可视化交互的国动指挥所设计方法:通过分析国动指挥任务的关键路径,提取重要的决策信息,利用可视化交互技术,实现对国动任务的信息化指挥控制。以某部演习的国防动员指挥为例,验证了方法的可行性和有效性。     

准则权重信息不完全的证据推理多属性决策算法

针对准则权重信息不完全情况下的多属性决策问题,提出了一种新的证据推理多属性决策算法,它通过建立基于证据信息熵的决策模型来求解准则的最优权重系数,利用求解得到的权重系数和递归ER算法求出各方案的效用值,进而得到各方案的优劣次序。最后,通过算例分析验证了该方法的有效性和合理性。