Minimizing average and weighted tardiness in constraint-based scheduling

About the project


The project focuses on improving constraint-based scheduling models to handle more effectively lesser-studied objective functions such as average tardiness or weighted tardiness. Although scheduling is a central topic in industrial production and computer science, most research concentrates on minimizing total tardiness, leaving other criteria, despite being common in practice, less well supported.
Constraint programming offers a powerful framework for modeling these problems, but it has historically been geared toward finding feasible solutions rather than optimizing complex objective functions. Therefore, efficiently optimizing these objectives represents a scientific challenge, and the project aims to develop new theoretical and algorithmic approaches to better integrate these objective functions, thereby expanding the capabilities of constraint-based scheduling tools.
In addition, several project partners are involved in science-outreach initiatives, notably within Terra Numerica. In this context, the creation of educational materials will help disseminate knowledge about constraint programming, operations research, and more specifically scheduling methods and graph theory to a broad audience.

Principal investigators
Project partners
  • Margaux NATTAF et Marie-Laure ESPINOUSE, Univ. Grenoble Alpes, CNRS, Grenoble INP, G-SCOP, France
  • Claude-Guy QUIMPER, Université Laval, département d'informatique et de génie logiciel, Québec, Canada
Duration
06/2023 - 12/2025
Total amount
28k€
Publications
  • Malapert A, Pelleau M, Schmied M and Fissore D (2025), "Cryptarithmetic Playtime", In 38th IEEE International Conference on Tools with Artificial Intelligence, ICTAI 2025, Athens, Greece, November 3-5, 2025. IEEE. (Best Paper Award)
  • Bonnin C, Malapert A, Nattaf M and Espinouse M-L (2024), "Toward a Global Constraint for Minimizing the Flowtime", In Proceedings of the 13th International Conference on Operations Research and Enterprise Systems, ICORES 2024., February, 2024.
  • Bonnin C, Dissaux T, Malapert A, Nisse N and Espinouse M-L (2023), "A Series-Parallel digraph based relaxation for the COMPLETION constraint", In CP 2023 - 29th International Conference on Principles and Practice of Constraint Programming (Doctoral program). Toronto ( CA ), Canada, August, 2023.
Mediation

Prototype of game online: https://graphlab-xbs3.onrender.com/railway-maze