Dergiler / 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)
Sayfa
153–156
Yayın Tarihi
1996-01-10
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:The lexicographic duality is then applied for problems with polynomials in the objectives and in the constraints.
🔬Tür:Çeviri
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (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