HEC Montréal, Canada, May 2 - 4, 2011

2011 Optimization Days

HEC Montréal, Canada, 2 — 4 May 2011

Schedule Authors My Schedule

TB7 Chaîne d'approvisionnement II / Supply Chain II

May 3, 2011 01:30 PM – 03:10 PM

Location: Hélène-Desmarais

Chaired by Roland Malhamé

4 Presentations

  • 01:30 PM - 01:55 PM

    Unreliable Production Lines with Defective Parts and Inspection Stations

    • Fatima-Zahra Mhada, presenter, École Polytechnique de Montréal
    • Roland Malhamé, GERAD - Polytechnique Montréal
    • Robert Pellerin, École Polytechnique de Montréal

    We consider a fluid model of an unreliable production line consisting of n machines and n fixed buffer sizes. These machines produce a single part with two different quality levels: conforming and non-conforming parts. The ratio of non-conforming parts to conforming ones is assumed to be a constant β, which may vary depending on the machine. The production line can contain inspection stations whose function is to reject the non-conforming parts from the system. It is assumed that the production line must meet a constant rate of demand for good parts.

    Our research objective is to develop an approximate modeling framework and an optimization algorithm for unreliable transfer line inter machine buffer sizing, so as to minimize the average long term combined storage and shortage costs, while accounting for parts quality and specifying the optimal location of inspection stations. Decomposition / aggregation methods developed in (Sadr and Malhamé (2004)) and their dynamic programming based optimization algorithm are adapted to the current model. In addition, numerical results based on the approximate theory, and those obtained from Monte Carlo simulation, are contrasted.

    Sadr, J. and Malhame, R. P., Decomposition/aggregation-based dynamic programming optimization of partially homogeneous unreliable transfer lines, IEEE Transactions on Automatic Control, 2004, V:49 , 68-81.

  • 01:55 PM - 02:20 PM

    Approche stochastique pour la modélisation d'une ligne de production sous contraintes

    • Thibault Gosset, presenter, Ecole Polytechnique de Montréal

    On développe un modèle qui permet d'optimiser par programmation dynamique le coût de stockage des encours d'une ligne de production. Les machines qui composent cette ligne ont un comportement aléatoire de bon et mauvais fonctionnement qui peut être interprété par un modèle de file d'attente.

  • 02:20 PM - 02:45 PM

    Modelling Enablers and Alternatives for Sustainable Supply Chain Planning

    • Anjali Awasthi, Concordia University
    • Mohammed Hussain, presenter, Concordia University

    We present a modeling framework to investigate the enablers and alternatives for sustainable supply chain planning. Interpretive Structural Modeling (ISM) is used to model the different socio-economic-environmental enablers and their inter-relationships. Analytical Network Process (ANP) is used to evaluate different alternatives for sustainable supply chain planning. Numerical illustrations are provided.

  • 02:45 PM - 03:10 PM

    Robust Supply Chain Management Problem with Uncertain Demands

    • Nabila Remli, presenter, LAMSADE, Université Paris-Dauphine
    • Virginie Gabrel, LAMSADE, Université Paris-Dauphine
    • Cécile Murat, LAMSADE, Université Paris-Dauphine

    We treat a robust supply chain management problem with uncertain demands. We discuss three robust approaches depending on the context of the problem. The aim is to take into account in the robust formulations the dynamic aspect of the problem and the linear equality constraints affected with uncertain right handsides.