Research on Differentiated-Area Routing in Wireless Sensor Networks Based on the Vector Field

The paper proposes a new scheme to analyze the differentiated-area routing in wireless sensor networks. In a single area of wireless sensor network, node message packets are generally in the same type, and are sent to one sink node (or multiple nodes) in an anycast way. However, in the differentiated area, message packets are divided into many types and the packets of the same type must be sent to a particular type of sink node. The paper firstly researches the single-area network routing, then proposes a set of partial differential equations similar to the Maxwell's equation of the static electric field, and finally extends the single network analysis method to the differentiated network and gets the dynamic routing relying on the rational changes of optimal cost function. Research results show that under certain conditions, the differentiated network routing problem can be decomposed into several single network problems, in which case the differentiated network problem can be analyzed through a series of independent single networks.