Component replenishment planning for a single-level assembly system under random lead times: A chance constrained programming approach

Autor: Faicel Hnaien, Nacima Labadie, Alexandre Dolgui, Valeria Borodin
Přispěvatelé: Département Sciences de la Fabrication et Logistique (SFL-ENSMSE), École des Mines de Saint-Étienne (Mines Saint-Étienne MSE), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-CMP-GC, Laboratoire d'Informatique, de Modélisation et d'optimisation des Systèmes (LIMOS), Université Blaise Pascal - Clermont-Ferrand 2 (UBP)-Université d'Auvergne - Clermont-Ferrand I (UdA)-SIGMA Clermont (SIGMA Clermont)-Ecole Nationale Supérieure des Mines de St Etienne (ENSM ST-ETIENNE)-Centre National de la Recherche Scientifique (CNRS), Société Coopérative Agricole de la Région d'Arcis-sur-Aube (SCARA), Société Coopérative Agricole de la Région d'Arcis-sur-Aube, Centre Microélectronique de Provence - Site Georges Charpak (CMP-GC) (CMP-ENSMSE), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Mines Nantes (Mines Nantes), Institut de Recherche en Communications et en Cybernétique de Nantes (IRCCyN), Mines Nantes (Mines Nantes)-École Centrale de Nantes (ECN)-Ecole Polytechnique de l'Université de Nantes (EPUN), Université de Nantes (UN)-Université de Nantes (UN)-PRES Université Nantes Angers Le Mans (UNAM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'Optimisation des Systèmes Industriels (LOSI), Institut Charles Delaunay (ICD), Université de Technologie de Troyes (UTT)-Centre National de la Recherche Scientifique (CNRS)-Université de Technologie de Troyes (UTT)-Centre National de la Recherche Scientifique (CNRS), Université Blaise Pascal - Clermont-Ferrand 2 (UBP)-Université d'Auvergne - Clermont-Ferrand I (UdA)-Sigma CLERMONT (Sigma CLERMONT)-Centre National de la Recherche Scientifique (CNRS)-Ecole Nationale Supérieure des Mines de St Etienne, Mines Nantes (Mines Nantes)-École Centrale de Nantes (ECN)-Ecole Polytechnique de l'Université de Nantes (Polytech Nantes), SIGMA Clermont (SIGMA Clermont)-Université d'Auvergne - Clermont-Ferrand I (UdA)-Ecole Nationale Supérieure des Mines de St Etienne-Centre National de la Recherche Scientifique (CNRS)-Université Blaise Pascal - Clermont-Ferrand 2 (UBP)
Rok vydání: 2016
Předmět:
Zdroj: International Journal of Production Economics
International Journal of Production Economics, 2016, Part A, 181, pp.79-86. ⟨10.1016/j.ijpe.2016.02.017⟩
International Journal of Production Economics, Elsevier, 2016, Part A, 181, pp.79-86. ⟨10.1016/j.ijpe.2016.02.017⟩
ISSN: 0925-5273
DOI: 10.1016/j.ijpe.2016.02.017
Popis: International audience; In practice, production planning and inventory control, both managed in the assembly systems framework, are often subject to various sources of exogenous uncertainty. In this regard, the present paper focuses on a single-level multi-component inventory control problem for the assembly systems replenishment under stochastic component procurement lead times. In order to be closer to the common assumption of MRP software tools, the case of discrete distributions of component lead times is considered, these latter being thus expressed as a number of periods. Since the finished product is assembled by using several types of component at the same time, the assembly process is stopped even if only a type of component is delayed. The assembly stopping forced by a components delay or stock-out is penalised by backlogging costs. Hence, the problem objective aims to minimize the total cost composed of holding and backlog ones. To address this problem, a joint chance constrained model is proposed and solved via an equivalent linear reformulation, the special structure of which is also deeply discussed. Apart from the effectiveness of the provided equivalent linear reformulation, the practical advantage of the proposed approach resides in its release from backlogging costs, which are often difficult to be quantified in real-life industrial applications.
Databáze: OpenAIRE