INVESTIGATION OF TWO-INDEX PLANAR TRANSPORTATION PROBLEM WITH MATRIX EQUATIONS

Öz

In this study, the application of matrix equations to two-index transportation problem is considered and the solution of the problem has been investigated by formulating it in terms of matrix equations.

Anahtar Kelimeler

• Transportation problem, linear programming problem, matrix equation.

İKİ İNDİSLİ DÜZLEMSEL DAĞITIM PROBLEMİNİN MATRİS DENKLEMLERİ İLE İNCELENMESİ

Öz

Bu çalışmada, matris denklemlerinin iki indisli düzlemsel dağıtım problemine uygulaması ele alınmış ve problemin matris denklemleri cinsinden formülasyonu yapılarak çözümü incelenmiştir.

Anahtar Kelimeler

• Dağıtım problemi, doğrusal programlama problemi, matris denklemi

Kaynakça

1. Ben - Israel, A. & Grenville, T. N. E. (1974): Generalized inverses : Theory and applications. J.Wiley, New York.
2. Bulut, H (1982): Bir ağ akışı probleminin genelleştirilmiş ters matrislerle incelenmesi. Doçentlik Tezi. Ege Üniv., İzmir.
3. Bulut, H. (1991): Algebriac characterizations of the singular value decompositions in the transportation problem. J. Math. Anal. Appl., 154, 13-21.
4. Bulut, H. (1993): Spectral decompositions and generalized inverses in a circularization network flow problem. J. Math. Anal. Appl., 174, 2, 390-402.
5. Graybill, F. A., (1969): Introduction to matrices with applications in statistics. Wadsworth, Belmont, Calif.
6. Özel, M. (1998): Characterizations of primal and dual optimality criteria in a circularization network flow problem. Ph.D. Thesis, D.E.Ü., İzmir.
7. Rao, S.S. & Mitra, S.K. (1971): Generalized inverse of matrices and its applications. J.Wiley, New York.