شماره ركورد كنفرانس :
4057
عنوان مقاله :
Sensitivity analysis in multi-objective optimization
عنوان به زبان ديگر :
Sensitivity analysis in multi-objective optimization
پديدآورندگان :
Zamani Moslem moslemzamani@ut.ac.ir School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran
كليدواژه :
Sensitivity analysis , parametric multi , objective optimization , semi , differentiability
عنوان كنفرانس :
چهارمين كنفرانس بين المللي آناليز غير خطي و بهينه سازي
چكيده فارسي :
We consider a parametric multi-objective optimization problem whose objective function and constraint set are locally
Lipschitz. First, we provide some sufficient conditions for semi-differentiability of feasible set and feasible values. In addition, some
formulas for its calculation are given. Then, we introduce the notion of uniform efficiency, and compare it with normal efficiency.
Furthermore, some sufficient condition for having uniform efficiency are provided. Then we establish the semi-differentiability of
efficient value mapping and a formula to compute its semi-derivative at a uniformly efficient value.
چكيده لاتين :
We consider a parametric multi-objective optimization problem whose objective function and constraint set are locally
Lipschitz. First, we provide some sufficient conditions for semi-differentiability of feasible set and feasible values. In addition, some
formulas for its calculation are given. Then, we introduce the notion of uniform efficiency, and compare it with normal efficiency.
Furthermore, some sufficient condition for having uniform efficiency are provided. Then we establish the semi-differentiability of
efficient value mapping and a formula to compute its semi-derivative at a uniformly efficient value.
