Permanents, max algebra and optimal assignment
โ Scribed by R.B. Bapat
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 690 KB
- Volume
- 226-228
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The paper was motivated by solution methods suggested in the literature for solving linear optimization problems over (max; +)-or (max; min)-algebras and certain class of so called max-separable optimization problems. General features of these optimization problems, which play a crucial role in the
The max-eigenvector of a symmetrically reciprocal matrix A can be used to construct a transitive matrix that is closest to A in a relative error measure. As an alternative to the Perron eigenvector, the max-eigenvector can be used successfully for ranking in the analytical hierarchy process. When ei
This paper is a continuation of our 2004 paper "Max-algebra and pairwise comparison matrices", in which the max-eigenvector of a symmetrically reciprocal matrix was used to approximate such a matrix by a transitive matrix. This approximation was based on minimizing the maximal relative error. In a l