ILOG OPL Development Studio Language Reference Manual

Piecewise linear and stepwise functionsIn CP Optimizer, piecewise linear functions are typically used to model a known function oftime, for instance the cost incurred for completing an activity after a known date t. Stepwisefunctions are typically used to model the efficiency of a resource over time.A piecewise linear function F(t) is defined by a tuple F = piecewise(S, T, t 0 , v 0 ) where:For a complete description of the OPL syntax of a piecewise linear function, see piecewiseand pwlFunction in the OPL Language Quick Reference.A stepwise function is a special case of the piecewise linear function, where all slopes areequal to 0 and the domain and image of F are integer. A stepwise function F(t) is defined bya tuple F = stepwise(V, T) where:I L O G O P L D E V E L O P M E N T S T U D I O L A N G U A G ER E F E R E N C E M A N U A L145