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It is difficult to perform resource allocation for a node with the agreed QoS requirement in a ubiquitous network, which consists of subnetwork segments of different technologies with different resource constraints and control. In this paper, we discuss performance analysis of a priority based resource allocation scheme for the Unodes, ie, nodes running a ubiquitous application in a ubiquitous network. The proposed protocol exploits the advantages of both Static and Mobile Agents, by deploying them in different subnetworks (as and when required) to help the local administration to provide required network resources to the Unodes, and to ensure that the Unodes get the required network resources—by continuously monitoring their resource utilization and taking proactive actions. Mobile Agents (MAs) calculate the priorities of Unodes—by considering the importance of the application running on them, their resource utilization history and the cost effectiveness of the resource—and use those to allocate network resources among the contending Unodes fairly. We have built an analytical model of the proposed resource allocation scheme using queuing concept. The results obtained in the simulation and analysis reflects the effectiveness of the proposed scheme.