Geodesic
Optimization problems under $(\max,\min)$-linear equation and/or inequality constraints
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 6, pp. 3-21
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The paper is a survey of recent results concerning optimization problems whose set of feasible solutions is described by a finite system of so-called $(\max,\min)$-linear equations and/or inequalities. The objective function is equal to the maximum of a finite number of continuous unimodal functions $f_j\colon R\to R$ each depending on one variable $x_j\in R=(-\infty,+\infty)$. Motivation problems from the area of operations research, illustrative numerical examples, and hints for further research are included. 
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M. Gavalec; M. Gad; K. Zimmermann. Optimization problems under $(\max,\min)$-linear equation and/or inequality constraints. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 6, pp. 3-21. http://geodesic.mathdoc.fr/item/FPM_2012_17_6_a0/

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