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The distributed control applications of today are usually assumed to be run on a hardware consisting of heterogeneous processing elements. A standard like IEC 61499 attempts to provide an unanimous software infrastructure for these applications. An important research interest thereof is to find possible deployment of the components of the distributed application on these heterogeneous nodes. Since most of such applications are hard real-time ones the complexity of the problem is further increased by strict temporal restrictions. This paper addresses this issue as algorithms are presented for finding feasible and optimal solutions of such deployment problems. Moreover, the problems are also considered in the context of two different - while conforming to the standard - execution semantics realized in certain implementations of IEC 61499.