36 years ago, Thomas Saaty introduced a new mathematical methodology, called Analytic Hierarchy Process (AHP), regarding the decision-making processes. The methodology was widely applied by Saaty and by other authors in the different human activity areas, like planning, business, education, healthcare, etc. but, in general, in the area of management. In this paper, we provide two new proofs for well-known statement that the maximal eigenvalue λmax is equal to n for the eigenvector problem Aw=λw, where A is, so-called, the consistent matrix of pairwise comparisons of type n×n (n≥ 2) with the solution vector w that represents the probability components of disjoint events. Moreover, we suggest an algorithm for the determination of the eigenvalue problem solution Aw=nw as well as the corresponding flowchart. The algorithm for arbitrary consistent matrix A can be simply programmed and used.
Teleworking brings many advantages to employees and employers, but it also brings new demands for both sides. This work arrangement also involves some disadvantages. Most of these disadvantages may be partially eliminated by following the recommended processes. Nevertheless, some negative aspects still need to be expected. Teleworking may have advantages and disadvantages for the entire society, which may not be the same as individual or company interests. This work arrangement has become more and more common also in tourism. It is mainly used by field workers.
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