Second order conic approximation for disassembly line design with joint probabilistic constraints

Mohand Lounes Bentaha (1, 2) , Olga Battaïa (1, 2) , Alexandre Dolgui (3, 4, 5) , S. Jack Hu (6)

1 LIMOS - Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes
2 DEMO-ENSMSE - Département Décision en Entreprise : Modélisation, Optimisation
3 IMT Atlantique - DAPI - Département Automatique, Productique et Informatique
4 IMT Atlantique - IMT Atlantique
5 LS2N - équipe SLP - Systèmes Logistiques et de Production
6 University of Michigan [Ann Arbor]

A problem of profit oriented disassembly line design and balancing with possible partial disassembly and presence of hazardous parts is studied. The objective is to design a production line providing a maximal revenue with balanced workload. Task times are assumed to be random variables with known normal probability distributions. The cycle time constraints are to be jointly satisfied with at least a predetermined probability level. An AND/OR graph is used to model the precedence relationships among tasks. Several lower and upper–bounding schemes are developed using second order cone programming and convex piecewise linear approximation. To show the relevance and applicability of the proposed approach, a set of instances from the literature are solved to optimality.

Mots clés: Piecewise linear approximation; Assembly and disassembly; Joint probabilistic constraints; Stochastic programming; Line design and balancing

Domaines: Modélisation et simulation

Mohand Lounes Bentaha, Olga Battaïa, Alexandre Dolgui, S. Jack Hu. Second order conic approximation for disassembly line design with joint probabilistic constraints. European Journal of Operational Research, 2015, 247 (3), pp 957-967. ⟨10.1016/j.ejor.2015.06.019⟩. ⟨emse-01184866⟩