Sensitivity analysis in multi-objective optimization

عنوان به زبان ديگر

پديدآورندگان

Zamani Moslem moslemzamani@ut.ac.ir School of Mathematics, Statistics and Computer Science, College of Science, University of Tehran

تعداد صفحه

3

كليدواژه

Sensitivity analysis , parametric multi , objective optimization , semi , differentiability

سال انتشار

1397

عنوان كنفرانس

چهارمين كنفرانس بين المللي آناليز غير خطي و بهينه سازي

زبان مدرك

انگليسي

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.

كشور

ايران