- Tytuł:
- A general iterative solver for unbalanced inconsistent transportation problems
- Autorzy:
-
Carp, D.
Popa, C.
Serban, C. - Powiązania:
- https://bibliotekanauki.pl/articles/223848.pdf
- Data publikacji:
- 2016
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
inconsistent linear inequalities
least squares solutions
projection-type algorithm
Kaczmarz Extended
transportation problem
simplex algorithm
Han’s algorithm
problemy transportowe
algorytm Simplex
algorytm Hana - Opis:
- The transportation problem, as a particular case of a linear programme, has probably the highest relative frequency with which appears in applications. At least in its classical formulation, it involves demands and supplies. When, for practical reasons, the total demand cannot satisfy the total supply, the problem becomes unbalanced and inconsistent, and must be reformulated as e.g. finding a least squares solution of an inconsistent system of linear inequalities. A general iterative solver for this class of problems has been proposed by S. P. Han in his 1980 original paper. The drawback of Han’s algorithm consists in the fact that it uses in each iteration the computation of the Moore-Penrose pseudoinverse numerical solution of a subsystem of the initial one, which for bigger dimensions can cause serious computational troubles. In order to overcome these difficulties we propose in this paper a general projection-based minimal norm solution approximant to be used within Han-type algorithms for approximating least squares solutions of inconsistent systems of linear inequalities. Numerical experiments and comparisons on some inconsistent transport model problems are presented.
- Źródło:
-
Archives of Transport; 2016, 37, 1; 7-13
0866-9546
2300-8830 - Pojawia się w:
- Archives of Transport
- Dostawca treści:
- Biblioteka Nauki
Artykuł