Optimization problems under (max, min)-linear equations and/or inequality constraints

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 : R → R each depending on one variable x _j ∈ R = (?∞,+∞). Motivation problems from the area of operations research, illustrative numerical examples, and hints for further research are included.