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DL
David

Research Area

Lot-Sizing and Tactical Production Planning

9 août 2026

ResearchResearch area
Research area

Lot-Sizing and Tactical Production Planning

My research on lot-sizing focuses on the modelling and optimisation of tactical production planning problems, ranging from classical single-level formulations to multi-level and multi-site production systems.

The central decision problem consists in determining when and how much to produce over a finite planning horizon while satisfying demand and balancing setup, production and inventory costs under operational constraints.

My work addresses both the modelling and the resolution of these problems. A particular emphasis is placed on generic representations of production planning systems, capacitated lot-sizing models, multi-level product structures and the development of efficient optimisation approaches adapted to the combinatorial structure of lot-sizing problems.

A recurring objective of this research is to bridge the gap between the physical description of an industrial production system, its mathematical representation and the optimisation algorithms used to solve the resulting planning problem. This perspective has progressively led to the development of reusable modelling concepts and software components for representing, generating and solving families of lot-sizing problems.

Lot-Sizing and Tactical Production Planning
Scientific profile

Research scope & methodological positioning

A clear distinction between the scientific problems addressed, the methods used to solve them, and their industrial application contexts.

Research topics

Problems & planning concepts

Lot-sizingTactical production planningProduction planningCapacitated lot-sizingMulti-level lot-sizingMulti-site production planningMaster Production SchedulingMaterial Requirements PlanningMathematical programmingCombinatorial optimisation
Methods & approaches

How the problems are addressed

  • Lot-sizing
  • Tactical production planning
  • Production planning
  • Capacitated lot-sizing
  • Multi-level lot-sizing
  • Multi-site production planning
  • Master Production Scheduling
  • Material Requirements Planning
  • Mathematical programming
  • Combinatorial optimisation
Application domains

Industrial systems & contexts

  • Mathematical programming
  • Mixed-integer linear programming
  • Dynamic programming
  • Exact optimisation
  • Metaheuristics
  • Particle Swarm Optimisation
  • Problem-specific heuristics
  • Generic mathematical modelling
  • Production-system modelling
  • Algorithm design
  • Computational experiments
Scientific streams

Research sub-themes

Distinct research directions developed within this area.

01
Research stream

Generic Planning Model

A major part of my research concerns the development of a generic modelling framework for tactical production planning.

Classical lot-sizing models generally start from a predefined mathematical structure corresponding to a particular production environment: single-level or multi-level production, single-site or multi-site organisations, capacitated or uncapacitated resources, and specific product or process structures.

The Generic Planning Model follows a different approach. The objective is to describe the industrial production system independently from a particular mathematical formulation and to use this description to construct the corresponding tactical planning problem.

The framework provides a common representation of the main entities involved in production planning, including products, product structures, production and storage entities, resources, capacities, demands, production quantities, setup decisions and inventories.

Different lot-sizing problems can therefore be obtained by instantiating the same generic representation according to the characteristics of the production system under consideration.

This approach separates three complementary levels: the description of the industrial system, the mathematical formulation of the planning problem and the optimisation method used to solve it. This separation facilitates the development of reusable models and algorithms and provides a unified framework for studying different families of lot-sizing problems.

This modelling philosophy is also the conceptual foundation of the current LotSizingDataModel software development, whose objective is to provide an extensible object-oriented representation of lot-sizing instances independently of the algorithms used to solve them.

Scientific output

Selected publications

Journal articles and conference papers directly related to this research area.

2011
ART

Discrete Particle Swarm Optimization for the Multi-Level Lot-Sizing Problem

Laurent Deroussi, David Lemoine

International Journal of Applied Metaheuristic Computing
2010
ART

Metaheuristic for the Capacitated Lot Sizing Problem: a software tool for MPS elaboration

Michel Gourgand, David Lemoine, Sylvie Norre

International Journal of Mathematics in Operational Research
2008
ART

A review of tactical planning models

Michael Comelli, Michel Gourgand, David Lemoine

Journal of Systems Science and Systems Engineering
2008
ART

Optimisation d’un modèle de planification tactique d’une chaîne logistique de type Flow Shop Hybride

Michael Comelli, David Lemoine

e-revue des Sciences et Technologies de l'Automatique
2007
COMM

Optimisation des flux physiques pour la planification d’une Supply Chain dans un contexte industriel

Michael Comelli, David Lemoine

ROADEF 2007
2006
COMM

A review of tactical planning models

Michael Comelli, Michel Gourgand, David Lemoine

IEEE/ICSSSM06
2006
COMM

Software tool for the master production schedule conception based on the Capacitated Lot Sizing Problem

Nathalie Grangeon, Michel Gourgand, David Lemoine, Sylvie Norre

International Conference on Automated Planning & Scheduling
2008
THESE

Modèles génériques et méthodes de résolution pour la planification tactique mono-site et multi-site

David Lemoine

Open research

Software, datasets & repositories

Reusable research outputs managed in the central Software catalogue and linked to this Research Area.