Adaptation of the operations research models and methods to planning of the critical infrastructure protection is considered. Adaptation of these models includes taking into account stochastic, informational, and beha...
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Adaptation of the operations research models and methods to planning of the critical infrastructure protection is considered. Adaptation of these models includes taking into account stochastic, informational, and behavioral uncertainty of terrorists. In particular, relevant generalizations of the antagonistic attack-defense game and optimal allocation of protective resources are considered, and methods are proposed to solve the occurring optimization problems.
In quantization of any source with a nonuniform probability density function, the entropy coding of the quantizer output can result in a substantial decrease in bit rate. A straightforward entropy coding scheme faces ...
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In quantization of any source with a nonuniform probability density function, the entropy coding of the quantizer output can result in a substantial decrease in bit rate. A straightforward entropy coding scheme faces us with the problem of variable data rate. A solution in a space of dimensionality N is to select an appropriate subset of elements in the N-fold Cartesian product of a scalar quantizer and represent its elements with codewords of the same length, The drawback is that the search/adressing of this scheme can no longer be achieved independently along the one-dimensional subspaces, A reasonable rule is to select the N-fold symbols of the highest probability. For a memoryless source, this is equivalent to selecting the N-fold symbols with the lowest additive self-information, In this case, due to the additivity property of the self-information, the selected subset has a high degree of structure which can be used to substantially decrease the search/addressing complexity, In this work, a dynamicprogramming approach is used to exploit this structure. We build our recursive structure required for the dynamicprogramming in a hierarchy of levels, This results in several benefits over the conventional trellis-based approaches, Using this structure, me develop efficient rules (based on aggregating the states) to substantially reduce the search/addressing complexities while keeping the degradation in performance negligible.
The major purpose of this paper is to present the useful techniques in the optimal allocation of water resources (OAWR) and to demonstrate using water resources applications how these methods can be conveniently emplo...
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The major purpose of this paper is to present the useful techniques in the optimal allocation of water resources (OAWR) and to demonstrate using water resources applications how these methods can be conveniently employed in practice for systematically studying both simple and complex water resources problems. Formal modelling techniques in multiobjective decision-making provide many benefits to professionals working in water resources and elsewhere. A new Large-system hierarchical dynamic programming (LHDP) method to solve the model can be carried out to ascertain the consequences of meaningful parameter changes upon the optimal or compromise solution. As a case study, the techniques and methods are applied to the OAWR of the Yellow River Basin (YRB) of China. The next paper shares with the reader recent research results on the OAWRYRB.
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