A linear cost function is a mathematical method that businesses use to calculate the total costs associated with a certain amount of production. Any time the cost per unit produced remains the same, ...

We give a branch-and-cut algorithm for solving linear programs (LPs) with continuous separable piecewise-linear cost functions (PLFs). Models for PLFs use continuous variables in special-ordered sets ...

I), Xi⩾ 0. The objective function minimizes (or maximizes) a linear function of the decision variables, for example total cost or total energy content of the diet.