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We consider the assignment problem with a special structure with a general form value function and constraints prohibiting certain matchings. In this case, the matching cost may be undefined until some permutation is found. We formulate the problem in terms of graph theory and reduce it to finding a minimal cost path in a graph with nonlocal edge weights. The proposed method for solving the problem...
Statistical and geometrical characteristics of the microstructure of the porous space of rock samples are investigated on the basis of 3D images obtained by X-ray microtomography. It is shown that the surface of the porous space exhibits fractal properties. As a result of fractal analysis of 3D micromodels, the leading fractal dimension, the multifractal spectra of generalized dimensions, and other...
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