Journals / Öneri Dergisi / 2026 / Cilt: 1 Sayı: 4

LEKSIKOGRAFIK GEOMETRİK PROGRAMLAMA (LGP)

Mikulas Luptacik(University of Economics in Bratislava)
Frantisek Turnovec(University of Economics in Bratislava)
Pages
153–156
Publication Date
1996-01-10
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AI Summary & Key Takeaways

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

The lexicographic duality is then applied for problems with polynomials in the objectives and in the constraints.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The paper presents the Kuhn-Tucker conditions and duality theory for the lexicographic minimization problem: iex m in{F (x)|x e R n,G (x ) < O mj where F and G are vector valued functions form R„ -~*RS and Rn —>Rm , respectively.
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Key Findings & Data:The paper presents the Kuhn-Tucker conditions and duality theory for the lexicographic minimization problem: iex m in{F (x)|x e R n,G (x ) < O mj where F and G are vector valued functions form R„ -~*RS and Rn —>Rm , respectively.
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Conclusion & Impact:The lexicographic duality is then applied for problems with polynomials in the objectives and in the constraints.
🔬Design:Çeviri
📍Scope:Comprehensive Sample
⚙️Variables:Leksikografi · Geometri · Programlama

Özet

The paper presents the Kuhn-Tucker conditions and duality theory for the lexicographic minimization problem: iex m in{F (x)|x e R n,G (x ) < O mj where F and G are vector valued functions form R„ -~*RS and Rn —>Rm , respectively. The lexicographic duality is then applied for problems with polynomials in the objectives and in the constraints.

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Cite This Article

Luptacik, M., Turnovec, F. (1996). LEKSIKOGRAFIK GEOMETRİK PROGRAMLAMA (LGP). Öneri Dergisi, Cilt: 1 Sayı: 4, 153–156. https://doi.org/10.14783/maruoneri.713024

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References (4)

  1. Beightler, Ch.S., and Phillips, D.T., Applied Geometric Programming, Wiley, New York, 1976.
  2. Duffin, R.J., Peterson, E.L., and Zener, C.M., Geometric Programming, Wiley, New York, 1967.
  3. Isermann, H., Linear Lexicographic optimization, OR. Spectrum 4, 223-228, 1982.
  4. Martinez-Legar, J.E., Lexicographic order and duality in multiobjective programming, European Journal of Operational Research 33, 342-348, 1988