A new interpolation-based polynomial algorithm for estimating lateness in single machine scheduling problem

This research extends the interpolation approach to approximating the objective function value for the minimization maximum lateness problem. The interpolation approach is defined using a special objective function L-max(alpha), which is proven to be continuous and depends only on a transform coefficient. Such a function is proven to be monotonically increasing, and this property is used in the presented modified interpolation polynomial algorithm which is used to estimate the approximation error. Copyright (C) 2022 The Authors.