Geoffrion's proper efficiency in linear fractional vector optimization with unbounded constraint sets

DOI10.1007/s10898-020-00927-7zbMath1465.90091OpenAlexW3044157304MaRDI QIDQ2022177

Jen-Chih Yao, Nguyen Thi Thu Huong, Nguyen Dong Yen

Publication date: 28 April 2021

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-020-00927-7

zbMATH Keywords

regularity conditionefficient solutionunbounded constraint setdirection of recessiongain-to-loss ratioGeoffrion's properly efficient solutionlinear fractional vector optimization

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Fractional programming (90C32) Regularity of solutions in optimal control (49N60) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (6)

Proper efficiency in linear fractional vector optimization via Benson's characterization ⋮ A note on approximate proper efficiency in linear fractional vector optimization ⋮ A new scheme for approximating the weakly efficient solution set of vector rational optimization problems ⋮ Convex and nonconvex sweeping processes with velocity constraints: well-posedness and insights ⋮ New results on proper efficiency for a class of vector optimization problems ⋮ Improperly efficient solutions in a class of vector optimization problems

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