An effective logarithmic formulation for piecewise linearization requiring no inequality constraint

One of the commonly used techniques for tackling nonconvex optimization problems in which all nonlinear terms are univariate is piecewise linear approximation by reformulated. The performance linearization technique primarily depends on quantities variables and constraints required formulation a function. state-of-the-art method introduces $$2\lceil \log _2 m\rceil$$ inequality constraints, where m number line segments constructed This study proposes an effective alternative logarithmic scheme no constraint incurred. price that more continuous needed proposed than less offset simultaneous inclusion system equality satisfying canonical form absence any constraint. Our numerical experiments demonstrate developed has computational superiority, degree increases with m.