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DÜZLEMSEL ÜÇ İNDİSLİ DAĞITIM PROBLEMİNİN FORMÜLASYONU VE EŞDEĞER ÖZELLİKLERİ

THE FORMULATION AND EQUIVALENT CHARACTERIZATIONS OF THE PLANAR THREE INDEX TRANSPORTATION PROBLEM

Journal Name:

  • Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi

Publication Year:

  • 2001

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
In this paper, we investigate the equivalent formulations of the planar three index transportation problem, of order mxnxp, using the generalized inverse of its coefficient matrix, and give relations between the equivalent problems. It is then shown that the problem and its equivalent problems have common algebraic characterizations.
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Abstract (Original Language): 
Bu çalışmada, m çıkışlı, n depolu ve p varışlı düzlemsel üç indisli dağıtım probleminin formülasyonu ve eşdeğer formülasyonları incelenmiştir. Problem ve eşdeğer problemlerin cebirsel özellikleri, katsayılar matrisinin genelleştirilmiş tersleri kullanılarak verilmiştir. Problem ve eşdeğer problemlerin ortak cebirsel özelliklere sahip oldukları görülmüştür.
FULL TEXT (PDF): 
PDF icon arastrmx_31877_3_pp_51-57.pdf
  • 2
51-57
  • Turkish

REFERENCES

References: 

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Graybill F.A. (1969): “Introduction to matrices with applications in statistics”, Wadsworth,
Belmont, Calif.
Korsnikov A.D., Burkard R.E. (1989): “On the Dimension of Polytopes of Planar ThreeIndex Transportation Problems, Optimization 20, 1 , 107-116.
Vlach M. (1986): “Conditions for the Existence of Solutions of the Three-Dimensional Planar
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