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Wireless sensor networks may have to support many kinds of applications, some of which may have to satisfy strict requirements for data transfer delay while others do not. Thus, it is necessary to design routing schemes that can provide adaptive real-time data transmission services. On the other hand, energy consumption is one of the most important criteria for routing schemes. This paper aims to explore the routing schemes that can satisfy the real-time transmission applications and also save energy. We achieve this target by designing an adaptive real-time routing scheme (ARP). This scheme provides different real-time levels for different applications and dynamically adjusts the transmission rate of data packets during the end-to-end transmission.