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We describe a modification of Brown's fictitious play method for solving matrix (zero-sum two-person) games and apply it to both symmetric and general games. If the original game is not symmetric, the basic idea is to transform the given matrix game into an equivalent symmetric game (a game with a skew-symmetric matrix) and use the solution properties of symmetric games (the game value is zero and both players have the same optimal strategies). The fictitious play method is then applied to the enlarged skew-symmetric matrix with a modification that calls for the periodic restarting of the process. At restart, both players' strategies are made equal based on the following considerations: Select the maximizing or minimizing player's strategy that has a game value closest to zero. We show for both symmetric and general games, and for problems of varying sizes, that the modified fictitious play (MFP) procedure approximates the value of the game and optimal strategies in a greatly reduced number of iterations and in less computational time when compared to Brown's regular fictitious play (RFP) method. For example, for a randomly generated 50% dense skew-symmetric 100 × 100 matrix (symmetric game), with coefficients |aij| ≤ 100, it took RFP 2,652,227 iterations to reach a gap of 0.03118 between the lower and upper bounds for the game value in 70.71 s, whereas it took MFP 50,000 iterations to reach a gap of 0.03116 in 1.70 s. Improved results were also obtained for general games in which the MFP solves a much larger equivalent symmetric game. © 1996 John Wiley & Sons, Inc. 相似文献
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从火控总体的角度总结了国内外坦克装甲车辆火控观察瞄统的发展过程、现状,分析了观察瞄统的发展特点.对新近发展起来的顶置遥控武器站进行了初步研究,对其应配属的观瞄系统形式进行了探讨.在对未来装备需求和技术发展深入分析的基础上,提出了坦克装甲车辆火控观瞄系统未来的发展方向和需要重点突破和解决的关键技术. 相似文献
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根据近年来对我国指挥与控制科研、教学和装备现状调研分析的基础上,分析了目前指挥与控制工程面临的挑战,探讨了指挥与控制学科特征,并提出如何发展指挥与控制这一门新兴学科的建议. 相似文献
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全球卫星导航系统在自主导航工作模式下,为了保持星座系统的稳定,保证系统的完好性,需要对故障卫星进行及时可靠的隔离。因此提出一种基于星间链路的全球卫星导航系统(GNSS)自主完好性隔离算法,分析全球卫星导航系统故障判别方式,设计了基于星间链路的故障隔离流程,提出了基于星间测距误差和判别的故障检测及隔离算法。仿真结果表明,基于星间链路的GNSS自主完好性隔离算法,可以有效隔离故障卫星,保持星座自主导航精度,并且算法实现复杂度较小,易于工程实现。 相似文献
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为了在故障样本稀缺、故障模式不完备的情况下监控涡轮泵状态,并剔除传感器失效故障造成的虚警,提出用于涡轮泵状态监控及传感器故障识别的单类支持向量机新异类检测方法。该方法以正常状态为目标类构建单类支持向量机检测器,用于检测涡轮泵是否出现异常;以传感器故障为目标类构建单类支持向量机检测器,用于判断检测到的异常是否属于传感器故障。对涡轮泵试车数据的分析结果表明了该方法的有效性。 相似文献
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由于弹药供应链系统中存在牛鞭效应问题,为了减少牛鞭效应对弹药供应系统的影响,研究系统的稳定性,建立了一阶弹药供应链系统。分析了弹药供应链系统的构成,对系统进行了数学建模分析与仿真验证分析。分析得出,决策参数调整系数β对弹药供应链系统稳定性的影响明显,部队需求量变化及订货量决策参数安全系数α影响较弱。并得出系统稳定时或系统出现震荡、混沌现象时调整系数β的取值范围。 相似文献