# Pseudoconvex optimization for a special problem of paint industry

Tibor Illés, János Mayer, Tamás Terlaky

Research output: Contribution to journalArticle

2 Citations (Scopus)

### Abstract

A new mathematical programming model is presented for the computer color formulation problem. The model is essentially based on the two-constant Kubelka-Munk theory, that describes most of the necessary physical properties of this problem. The model is a nonconvex programming problem. It has a nonconvex objective function with some nice pseudoconvexity properties. The set of feasible solutions is a relatively simple polyhedron. An algorithm is also proposed to solve the problem.
Original language English 537-548 12 European Journal of Operational Research 79 3 https://doi.org/10.1016/0377-2217(94)90064-7 Published - 22 Dec 1994

### Fingerprint

Pseudoconvex
Paint
Industry
Optimization
Mathematical programming
Pseudoconvexity
Nonconvex Programming
Physical properties
Physical property
Mathematical Programming
Polyhedron
Programming Model
Color
Objective function
Mathematical Model
Necessary
Formulation
Model

### Keywords

• nonconvex optimization
• pseudoconvexity
• Kubelka-Munk theory

### Cite this

Illés, Tibor ; Mayer, János ; Terlaky, Tamás. / Pseudoconvex optimization for a special problem of paint industry. In: European Journal of Operational Research. 1994 ; Vol. 79, No. 3. pp. 537-548.
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Pseudoconvex optimization for a special problem of paint industry. / Illés, Tibor; Mayer, János; Terlaky, Tamás.

In: European Journal of Operational Research, Vol. 79, No. 3, 22.12.1994, p. 537-548.

Research output: Contribution to journalArticle

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T1 - Pseudoconvex optimization for a special problem of paint industry

AU - Illés, Tibor

AU - Mayer, János

AU - Terlaky, Tamás

PY - 1994/12/22

Y1 - 1994/12/22

N2 - A new mathematical programming model is presented for the computer color formulation problem. The model is essentially based on the two-constant Kubelka-Munk theory, that describes most of the necessary physical properties of this problem. The model is a nonconvex programming problem. It has a nonconvex objective function with some nice pseudoconvexity properties. The set of feasible solutions is a relatively simple polyhedron. An algorithm is also proposed to solve the problem.

AB - A new mathematical programming model is presented for the computer color formulation problem. The model is essentially based on the two-constant Kubelka-Munk theory, that describes most of the necessary physical properties of this problem. The model is a nonconvex programming problem. It has a nonconvex objective function with some nice pseudoconvexity properties. The set of feasible solutions is a relatively simple polyhedron. An algorithm is also proposed to solve the problem.

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KW - pseudoconvexity

KW - Kubelka-Munk theory

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JF - European Journal of Operational Research

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