非定向流量限定型军事路网隐蔽性熵测度及其运输分配研究

Traffic Flow Concealment Entropy Measure and Flow Distribution Model of the Uncertain Military Traffic Net under Follow Constrain Condition

考虑到战争时期军需物资运输不存在道路定向的限制,而存在运量有限的要求,本文在已有研究基础上提出了流量限定且隐蔽性最大条件下的非定向军事路网隐蔽性熵测度方法,以及该测度方法下的军需物资运输分配模型。新的隐蔽性测度公式与物资运输分配模型能兼顾非定向性和流量限定两方面约束,更为符合实际需要。此外,文中还分析了非定向和流量限定条件下军事路网多方面性质,即非负性、对称性、扩展性、收发路段的定向性、路网的可转换性以及路网循环流的可能性。结合隐蔽性熵测度方法和路网性质,笔者构建了非定向流量限定条件下军需物资运输分配模型。最后,通过具体算例充分验证了新隐蔽性熵测度方法和运输分配模型的可行性与有效性。

In this paper, the traffic flow concealment measure and flow distribution model of the uncertain military trffic net under the condition of flow constrain are proposed. The new measure formula could resolve the problem of the old measure method. Then, six natures of the military traffic network are analyzed, i.e. the un--negative property, the extend property, symmetry property, the directionality of the received and sent road, the convertibility of the military traffic net and the probability of circulation flow. By combining the above new concealment measure formula and six natures of the military traffic network, the flow distribution model of the uncertain militray traffic net under the condition of folw constrain is proposed. At last, a numerical example is used to show the feasibility and effectiveness of the new concealment measure approach and flow distrbution model.