Naslov
LFS functions in multi-objective programming

Autori
Neralić, Luka ; Zlobec, Sanjo

Izvornik
Applications of Mathematics (0862-7940) 41 (1996), 5; 347-366

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
multi-objective program, efficient (Pareto) solution, properly efficient solution, LFS function, convex program, simultaneous optimization

Sažetak
We find conditions, in multi-objective convex programming with nonsmooth functions, when the sets of efficient (Pareto) and properly efficient solutions coincide. This occurs, in particular, when all functions have locally flat surfaces (LFS). In the absence of the LFS property the two sets are generally different and the characterizations of efficient solutions assume an asymptotic form for problems with three or more variables. The results are applied to a problem in highway construction, where the quantity of dirt to be removed and the uniform smoothness of the shape of a terrain are optimized simultaneously.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Ekonomija

POVEZANOST RADA