Journals / Trakya Üniversitesi Bilimsel Araştırmalar Dergisi B Serisi Fen Bilimleri / 2002 / Cilt: 3 - Sayı: 1

Mathematical analyses of some special cases faced in linear programming problems

Lineer programlama problemlerinde karşılaşılan özel durumların matematik analizi

Pages
17–28
DOI
—
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AI Summary & Key Takeaways

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

Alternative optimal solutions.

📌 3 Key Takeaways

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Objective & Hypothesis:This article introduces some important cases often encountered in the simplex method applications The means of explanations are numerical examples ilustrating different cases.
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Key Findings & Data:The cases discussed inlude: 1.
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Conclusion & Impact:Alternative optimal solutions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This article introduces some important cases often encountered in the simplex method applications The means of explanations are numerical examples ilustrating different cases. The cases discussed inlude: 1. Degeneracy, 2. Unbounded solutions, 3. Alternative optimal solutions.

Özet

Burada L.P. (Lineer Programlama) analitik-nümerik açıdan ele alınmış simpleks algoritmasında karşılaşılan özel durumlar matris-vektör işlemleri ile analiz edilmiştir.Bunlar: 1. Dejenerasyon , 2. Sınırsız çözümler, 3. Alternatif optimum çözümler olacaktır.

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Cite This Article

YÜCEL, Y. (2002). Mathematical analyses of some special cases faced in linear programming problems. Trakya Üniversitesi Bilimsel Araştırmalar Dergisi B Serisi Fen Bilimleri, Cilt: 3 - Sayı: 1, 17–28. https://ajindex.com/articles/368332

References (1)

  1. Beale E.M.L “Cycling in the Dual Simplex Algorithm” Naval Logistic Quarterly, 2 (4) pp. 269-276, December 1995. 2-Bazarra M. –Jarvis J.J.– Sherali H.D. Linear programming And Network Flows John Wiley & Sons 1990. 3-Gass S. I. Linear Programming Methods & Applications 4’th Ed. 1975 McGraw Hill-Kogakusha Tokyo. 4-Taha H. A. Operations Researh An Introduction 6’th Ed. Prentice-Hall Inc. 1997 N.J. 5-Tulunay Y. Matematik Programlama ve İşletme Uygulamaları İst. Ün. İşl. Fak Yay. No:108 İstanbul 1980. 6-Walsh G.R. An Introduction to Linear Programming Holt, Rinehart and Winston 1971.