Abstract
Nearly all work on the optimal design of networks has been confined to single objective optimal design. Less attention has been paid to multi-objective optimal design where one must simultaneously optimize precision, reliability and other quantities. This paper discusses the concept of multi-objective optimal second order design of networks and its properties, which proves very different from that of single objective optimal design. To demonstrate its applications, a levelling network located in an earthquake area in the north east of China is taken as an example. The result shows in this case that multi-objective optimal design is optimal from the point of view of total objectives.
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