Learning Effect and Compound Activities in High Multiplicity RCPSP: Application to Satellite Production

Authors Duc Anh Le , Stéphanie Roussel , Christophe Lecoutre , Anouck Chan



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Duc Anh Le
  • DTIS, ONERA, Université de Toulouse, France
Stéphanie Roussel
  • DTIS, ONERA, Université de Toulouse, France
Christophe Lecoutre
  • CRIL, Université d'Artois & CNRS, France
Anouck Chan
  • DTIS, ONERA, Université de Toulouse, France

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Duc Anh Le, Stéphanie Roussel, Christophe Lecoutre, and Anouck Chan. Learning Effect and Compound Activities in High Multiplicity RCPSP: Application to Satellite Production. In 30th International Conference on Principles and Practice of Constraint Programming (CP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 307, pp. 18:1-18:25, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024) https://doi.org/10.4230/LIPIcs.CP.2024.18

Abstract

This paper addresses the High Multiplicity Resource-Constrained Project Scheduling Problem (HM-RCPSP), in which multiple projects are performed iteratively while sharing limited resources. We extend this problem by integrating the learning effect, which makes the duration of some activities decrease when they are repeated. Learning effect can be represented by any decreasing function, allowing us to get flexibility in modeling various scenarios. Additionally, we take composition of activities into consideration for reasoning about precedence and resources in a more abstract way. A Constraint Programming model is proposed for this richer problem, including a symmetry-breaking technique applied to some activities. We also present a heuristic-based search strategy. The effectiveness of these solving approaches is evaluated through an experimentation conducted on data concerning real-world satellite assembly lines, as well as on some adapted literature benchmarks. Obtained results demonstrate that our methods serve as robust baselines for addressing this novel problem (denoted by HM-RCPSP/L-C).

Subject Classification

ACM Subject Classification
  • Applied computing → Decision analysis
Keywords
  • High-multiplicity Project Scheduling
  • Learning Effect
  • Compound Activities
  • Satellite Assembly Line
  • Constraint Programming
  • Symmetry Breaking

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