基于Epsilon-Nash策略的动态武器-目标分配方法

在大型任务规划软件的作战单元任务分配中,搜索零和博弈问题的纳什均衡点是求解任务分配的一种有效的方法。然而,纳什均衡点在决策中并不一定总是存在且唯一,这造成了纳什均衡策略在实际使用时具有较大的局限。通过采用Epsilon-Nash策略克服这种局限,并将其应用于自主空战任务规划系统中,通过仿真实验,证实Epsilon-Nash策略具有近似于纳什策略的效果。     

Analytic solution for the nucleolus of a three‐player cooperative game

The nucleolus solution for cooperative games in characteristic function form is usually computed numerically by solving a sequence of linear programing (LP) problems, or by solving a single, but very large‐scale, LP problem. This article proposes an algebraic method to compute the nucleolus solution analytically (i.e., in closed‐form) for a three‐player cooperative game in characteristic function form. We first consider cooperative games with empty core and derive a formula to compute the nucleolus solution. Next, we examine cooperative games with nonempty core and calculate the nucleolus solution analytically for five possible cases arising from the relationship among the value functions of different coalitions. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

基于博弈论的装备科研、购置、维修经费比例关系优化分析

通过不同时期国家战略部署、科研发展情况及经济承受能力对装备经费分配的影响分析,采用博弈的方法,建立了装备科研、购置和维修费之间的比例关系优化模型,给出了寻求纳什均衡点的迭代算法,并进行了仿真计算.仿真结果证明了该方法的可行性与正确性.     

装备采办中的讨价还价博弈模型

竞争性谈判是一种重要的武器装备采办方式,军方与承包商之间的谈判是一个重复博弈过程,双方谈判的本质是讨价还价。分析了轮流出价的讨价还价模型,对轮流出价博弈的子博弈精炼均衡进行了论述;在轮流出价模型的基础上建立了同时出价的讨价还价模型,并对2种模型的特点进行了分析;通过案例对2个模型的均衡结果进行了对比。分析结果显示：同时出价的讨价还价模型更能有效解决实际问题,更具有现实意义。     

An integrated electric power supply chain and fuel market network framework: Theoretical modeling with empirical analysis for New England

In this article, we develop a novel electric power supply chain network model with fuel supply markets that captures both the economic network transactions in energy supply markets and the physical network transmission constraints in the electric power network. The theoretical derivation and analysis are done using the theory of variational inequalities. We then apply the model to a specific case, the New England electric power supply chain, consisting of six states, five fuel types, 82 power generators, with a total of 573 generating units, and 10 demand market regions. The empirical case study demonstrates that the regional electric power prices simulated by our model match the actual electricity prices in New England very well. We also compute the electric power prices and the spark spread, an important measure of the power plant profitability, under natural gas and oil price variations. The empirical examples illustrate that in New England, the market/grid‐level fuel competition has become the major factor that affects the influence of the oil price on the natural gas price. Finally, we utilize the model to quantitatively investigate how changes in the demand for electricity influence the electric power and the fuel markets from a regional perspective. The theoretical model can be applied to other regions and multiple electricity markets under deregulation to quantify the interactions in electric power/energy supply chains and their effects on flows and prices. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009     

Information security: Designing a stochastic‐network for throughput and reliability

Todas information and communication network requires a design that is secure to tampering. Traditional performance measures of reliability and throughput must be supplemented with measures of security. Recognition of an adversary who can inflict damage leads toward a game‐theoretic model. Through such a formulation, guidelines for network designs and improvements are derived. We opt for a design that is most robust to withstand both natural degradation and adversarial attacks. Extensive computational experience with such a model suggests that a Nash‐equilibrium design exists that can withstand the worst possible damage. Most important, the equilibrium is value‐free in that it is stable irrespective of the unit costs associated with reliability vs. capacity improvement and how one wishes to trade between throughput and reliability. This finding helps to pinpoint the most critical components in network design. From a policy standpoint, the model also allows the monetary value of information‐security to be imputed. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009     

A search game taking account of attributes of searching resources

This article deals with a two‐person zero‐sum game called a search allocation game (SAG), in which a searcher and a target participate as players. The searcher distributes his searching resources in a search space to detect the target. The effect of resources lasts a certain period of time and extends to some areas at a distance from the resources' dropped points. On the other hand, the target moves around in the search space to evade the searcher. In the history of search games, there has been little research covering the durability and reachability of searching resources. This article proposes two linear programming formulations to solve the SAG with durable and reachable resources, and at the same time provide an optimal strategy of distributing searching resources for the searcher and an optimal moving strategy for the target. Using examples, we will analyze the influences of two attributes of resources on optimal strategies. © 2007 Wiley Periodicals, Inc. Naval Research Logistics 2008     

微分对策界栅理论在舰艇作战能力评估中的应用

作战能力是表征战斗舰艇战术技术性能的一项重要指标,如何正确评价舰艇的作战能力一直是军事运筹研究的热点.利用定性微分对策的界栅理论研究了一类作战问题,通过构造捕获区面积和咽喉区域面积,并以此作为动态评估舰艇作战能力的衡量指标.研究结果可为综合评价舰艇作战能力提供一条新途径.     

涡轮增压机组的功率平衡计算方法

介绍了舰船蒸汽动力装置中增压锅炉的计算特性,并在对已有的一些相关计算模型分析的基础上,描述了涡轮增压机组的功率平衡计算难题。针对该难题给出了涡轮增压机组的功率平衡计算流程和计算中有关问题的处理方法,在确保计算完备可行的前提下,该方法适合于工程应用。     

高速核在高温热平衡等离子体中的非平衡弛豫过程对热核反应率参数的影响

高速核入射到高温热平衡等离子体背景中,由于入射核动能远大于背景等离体中带电粒子之平均动能,入射核在与背景等离子体达到热平衡之前,会存在一段逐渐损失能量的非平衡弛豫过程。本文以高速氘核入射到高温氘化锂等离子体为例,在计及氘核的这种非平衡弛豫过程时,给出了一种计算热核反应D(t,n)~4He之反应率参数的方法。氘核在弛豫过程中的能量损失考虑了氘核与各种带电粒子的库仑散射过程,其能量损失率采用快速带电粒子的慢化理论来计算;氘与背景等离子体中的原子核发生的核反应过程,考虑了非平衡状态下束靶机制的D(t,n)~4He反应和热平衡状态下的D(t.n)~4He反应。在暂未考虑核散射的情况下,计算结果表明,当等离子体温度在7.5KeV～20KeV范围内变化时,氘核的非平衡弛豫过程对热平衡状态下D(t,n)~4He反应率参数的修正因子大致在1.0062～1.0943范围内变动,且温度越高,修正因子越小。计算还表明,当温度一定时,修正因子随等离子体中粒子的数密度变化不明显。