| 顾及精度经济可靠性的控制网优化设计及直接迭代算法 |
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| 引用本文： | 姚勤.顾及精度经济可靠性的控制网优化设计及直接迭代算法[J].测绘学报,1992,21(1):25-33. |
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| 作者姓名： | 姚勤 |
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| 作者单位： | 南京市测绘院 |
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| 摘 要： | 本文根据模拟法控制网优化设计的特点，对由观测值权的改变而产生的精度目标函数。增益进行了理论分析。提出优化设计的精度价格比概念，从而导出受约于一定经济及可靠性的优化设计准则；针对观测值权的优化设计，又导出权分配的最佳调整准则；最后提出了目标函数增益值的直接迭代算法。实践证明，利用此方法进行优化设计，在不需设计者的经验干预下，能快速得到既满足精度要求而又经济合理的控制网布设方案 。
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| 关 键 词： | 测量 控制网 设计 优化 可靠性 |
OPTIMAL DESIGN OF CONTROL NETWORK BY TAKINGINTO ACCOUNT OF ACCURACY, COST-EFFICIENCYAND RELIABILITY TOGETHER WITH ADIRECT INTERATION ALGORITHM |
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| Yao Qin.OPTIMAL DESIGN OF CONTROL NETWORK BY TAKINGINTO ACCOUNT OF ACCURACY, COST-EFFICIENCYAND RELIABILITY TOGETHER WITH ADIRECT INTERATION ALGORITHM[J].Acta Geodaetica et Cartographica Sinica,1992,21(1):25-33. |
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| Authors: | Yao Qin |
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| Institution: | Nanjing Institute of Surveying and Mapping |
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| Abstract: | :
A theoretical analysis of the objective function gain generated by changing the weights of observations is made in this paper. A new concept of accuracy to cost ratio in the optimal design is presented, thereby leading to the creation of a optimal design criterior constrained to certain cost-efficiency and reliability. Based on the optimal design of the weights of observations, the most favorable regularization criterion of the distribution of weights is derived. Finally, a direct iteration algorithm of the gain of objective function is proposed practice indicates that this method enables a reasonable and economic network design to be made in fairly short time without requiring experience of designer. |
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| Keywords: | :Optimal design Control network Direct interator algorithm |
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