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Organic computing has similar characteristics of organism whose can be self-adjustment for a variety of conditions. The goal of organic computing is to develop a computing system which meets people demands and operates automatically in the information network. WiMAX (worldwide interoperability for microwave access) provide high-speed access and a coverage range several kilometers, but actual coverage range was few kilometers only due to the shelter of buildings or terrain. IEEE 802.16 working group designed 802.16j-based RS (relay station) to overcome above problem. In this paper, we present a mechanism called self-optimization handover mechanism which uses GPS (global positioning system) navigation system to combine with mobility characteristics of mobile relay station, especially, the concept of self-optimization of organic computing integrated into this mechanism. An ASN-establishment of a database server is the most important hope that through this database to store information related to GPS navigation, and through this server to calculate the base station handover. By using our proposed mechanism, a base station can be planned in advance on the path of choice. To reduce the number of possible handover, scanning the channels and by the waste channel scanning the time it takes, hoping to provide a more stable WiMAX services.