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Open Resource Control Architecture (ORCA) is a resource control and management testbed, which provides on-demand resource allocation service. This paper proposes to apply a dynamic, context-aware, computational trust model to ORCA, in which previous behaviors under different operating contexts are used to evaluate the trustworthiness of service manager and site authority actors. This trust model can be extended to support existing policy plug-ins to assist resource allocation. We also implement this trust model and demonstrate that our implemented trust model assigns relatively suited resources to user requests.