A unified heuristic and an annotated bibliography for a large class of earliness-tardiness scheduling problems

TL;DR

This paper introduces a unified heuristic algorithm for a broad class of earliness-tardiness scheduling problems, capable of handling various features and objectives, and provides an extensive annotated bibliography of related methods.

Contribution

The work presents a simple yet effective metaheuristic framework with sophisticated local search procedures and move evaluation techniques for diverse E-T problems, along with a comprehensive annotated bibliography.

Findings

High-quality solutions comparable to state-of-the-art methods

Effective move evaluation approaches for parallel machine problems

Versatile heuristic applicable to multiple E-T problem variants

Abstract

This work proposes a unified heuristic algorithm for a large class of earliness-tardiness (E-T) scheduling problems. We consider single/parallel machine E-T problems that may or may not consider some additional features such as idle time, setup times and release dates. In addition, we also consider those problems whose objective is to minimize either the total (average) weighted completion time or the total (average) weighted flow time, which arise as particular cases when the due dates of all jobs are either set to zero or to their associated release dates, respectively. The developed local search based metaheuristic framework is quite simple, but at the same time relies on sophisticated procedures for efficiently performing local search according to the characteristics of the problem. We present efficient move evaluation approaches for some parallel machine problems that generalize the existing ones for single machine problems. The algorithm was tested in hundreds of instances of several E-T problems and particular cases. The results obtained show that our unified heuristic is capable of producing high quality solutions when compared to the best ones available in the literature that were obtained by specific methods. Moreover, we provide an extensive annotated bibliography on the problems related to those considered in this work, where we not only indicate the approach(es) used in each publication, but we also point out the characteristics of the problem(s) considered. Beyond that, we classify the existing methods in different categories so as to have a better idea of the popularity of each type of solution procedure.