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Since few years the Belief Propagation [13, 14, 15] algorithm is reported as a very efficient tool to perform the optimization of systems which can be topologically transformed to the one of acceptable equivalent forms [9, 7]. The Ising system is often mentioned in these papers as a good example to present some basic foundations of BP. It is however rarely used as a tool to solve the Ising system itself. In this article we are going to present the analysis of critical properties, connected to the phase transition of magnetic system described by the Ising hamiltonian and the comparison of results to those obtained using evolutionary algorithm.
The paper presents a generalized version of the known-from-lit-erature discrete optimization algorithm with the constant Hamiltonian. This version does not require the optimization model to be linear with respect to one of the process decision variable. Therefore, the presented version of the algorithm can be used for a greater number of optimization problems than classical one. For instance, the generalized version can be applied in optimization of fluidized-bed drying processes.
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