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The paper provides mathematical analysis of sensitivity of different combination rules in the DS/AHP method when an alternative is added to the set of decision alternatives while solving foresight problems. Different cases of rank reversals are defined and two sets of conditions for these cases using the method DS/AHP are considered. Rank reversals are illustrated when the DS/AHP method is used to solve practical problem of critical technologies of energy conservation and power efficiency evaluation in Ukraine. It is shown that the DS/AHP method is not sensitive to exclusion (or addition) of an irrelevant decision alternative from (or to) the set of decision alternatives.
The iterative reconstruction methods of the wavefront
phase estimation from a set of discrete phase slope measurements have been
considered. The values of the root-mean-square difference between the
reconstructed and original wavefront have been received for Jacobi, Gauss-Seidel,
Successive over-relaxation and Successive over-relaxation with Simpson
Reconstructor methods. The method with the highest accuracy has been defined.