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Aerodynamic Optimization of Relay Nozzle Using a Chebyshev KAN Surrogate Model Integration and an Improved Multi-Objective Red-Billed Blue Magpie Optimizer. [PDF]

Biomimetics (Basel)
Shen M, Zhang Z, Qin G, Zhou D, Du L, Yu L.   +5 more
europepmc   +1 more source

Generalized Robust Optimization using the Notion of Set-Valued Probability. [PDF]

J Optim Theory Appl
Torre D, Mendivil F, Rocca M.
europepmc   +1 more source

ON QUASI-CONVEX FUNCTIONS OF COMPLEX ORDER

ON QUASI-CONVEX FUNCTIONS OF COMPLEX ORDER
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Minimization of quasi-convex symmetric and of discretely quasi-convex symmetric functions

Optimization, 1996
The main results, given in Section 3, deal with the effective computation of a minimum point x ∗ of a discretely quasi-convex symmetric function f In particular, an explicit formula for x ∗ is given if f is to be minimized under a linear symmetric constraint.
A. Hinderer, M. Stieglitz
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Minima of quasi-convex functions

Optimization, 1989
This paper presents, in finite dimensions, some basic stability results for minima of proper, lower semicontinuous, quasi-convex functions with respect to the topology of epic on verge nee. Equipped with this topology the proper, lower semicontinuous, quasi-convex functions form a Baire space, and most such functions have unique minimizers (in the ...
G. Beer, R. Lucchetti
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A Review of Quasi-Convex Functions

Operations Research, 1971
Many theorems involving convex functions have appeared in the literature since the pioneering work of Jensen. Recently some results have been obtained for a larger class of functions: quasi-convex. This review summarizes in condensed form results known to date, providing some refinements to gain further generality.
Harvey J. Greenberg, William P. Pierskalla   +1 more
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On Quasi-Convexity of the Cost Function

The Scandinavian Journal of Economics, 1987
For the study of duality of the cost indirect output correspondence, one needs to know when the cost function is quasi-convex in outputs. This paper gives a necessary and sufficient condition for quasi-convexity in outputs, under homotheticity of the input correspondence.
Rolf Färe, Ulla Lehmijoki, Rolf Fare
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Note on minimization of quasi M$$^{\natural }$$-convex functions

Japan Journal of Industrial and Applied Mathematics, 2023
For a class of discrete quasi convex functions called semi-strictly quasi M$^\natural$-convex functions, we investigate fundamental issues relating to minimization, such as optimality condition by local optimality, minimizer cut property, geodesic ...
Kazuo Murota, Akiyoshi Shioura, Murota Kazuo   +2 more
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Quasi-convex Functions in Carnot Groups*

Chinese Annals of Mathematics, Series B, 2007
The authors introduce the concept of \(h\)-quasiconvexity which generalizes the notion of \(h\)-convexity in the Carnot group \(G\). An example of \(h\)-quasiconvex function which is not \(h\)-convex is provided. Some interesting properties similar to those of \(h\)-convex functions on \(G\) are given.
Sun, Mingbao, Yang, Xiaoping
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Notes on Quasi-Convexity of the Cost Function

The Scandinavian Journal of Economics, 1984
\textit{R. Shephard} [''Indirect production functions'' (1974; Zbl 0278.90036)] and \textit{S. E. Jacobsen} [J. Econ. Stud. 1972, 458-464 (1972)] have shown that the cost function is convex if and only if the production technology of a firm is convex.
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