Journals / Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi / 2001 / Cilt: 3 - Sayı: 2

The formulation and equivalent characterizations of the planar three index transportation problem

Düzlemsel üç indisli dağıtım probleminin formülasyonu ve eşdeğer özellikleri

Pages
51–57
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It is then shown that the problem and its equivalent problems have common algebraic characterizations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact:It is then shown that the problem and its equivalent problems have common algebraic characterizations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

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.

Özet

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.

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Cite This Article

ÖZEL, M. (2001). The formulation and equivalent characterizations of the planar three index transportation problem. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi, Cilt: 3 - Sayı: 2, 51–57. https://ajindex.com/articles/219238