Journals / Öneri Dergisi / 1996 / Cilt: 1 - Sayı: 4

LEKSIKOGRAFIK GEOMETRİK PROGRAMLAMA (LGP)

Pages
153–156
Publication Date
1996-01-10
DOI
—
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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

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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:Research Article
📍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

LUPTACİK, M., TURNOVEC, F. (1996). LEKSIKOGRAFIK GEOMETRİK PROGRAMLAMA (LGP). Öneri Dergisi, Cilt: 1 - Sayı: 4, 153–156. https://ajindex.com/articles/36615

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References (1)

  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