Integrated lot-sizing in serial supply chains with production capacities

We consider a model for a serial supply chain in which production, inventory, and transportation decisions are integrated in the presence of production capacities and concave cost functions. The model we study generalizes the uncapacitated serial single-item multilevel economic lot-sizing model by a...

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Үндсэн зохиолчид: Romero-Morales, D, Wagelmans, A, Romeijn, H, van Hoesel, S
Формат: Journal article
Хэвлэсэн: 2005
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author Romero-Morales, D
Wagelmans, A
Romeijn, H
van Hoesel, S
author_facet Romero-Morales, D
Wagelmans, A
Romeijn, H
van Hoesel, S
author_sort Romero-Morales, D
collection OXFORD
description We consider a model for a serial supply chain in which production, inventory, and transportation decisions are integrated in the presence of production capacities and concave cost functions. The model we study generalizes the uncapacitated serial single-item multilevel economic lot-sizing model by adding stationary production capacities at the manufacturer level. We present algorithms with a running time that is polynomial in the planning horizon when all cost functions are concave. In addition, we consider different transportation and inventory holding cost structures that yield improved running times: inventory holding cost functions that are linear and transportation cost functions that are either linear, or are concave with a fixed-charge structure. In the latter case, we make the additional common and reasonable assumption that the variable transportation and inventory costs are such that holding inventories at higher levels in the supply chain is more attractive from a variable cost perspective. While the running times of the algorithms are exponential in the number of levels in the supply chain in the general concave cost case, the running times are remarkably insensitive to the number of levels for the other two cost structures.
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spelling oxford-uuid:2a5b3469-000e-4e6d-8f6a-a3f1011bd0d52022-03-26T12:24:34ZIntegrated lot-sizing in serial supply chains with production capacitiesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2a5b3469-000e-4e6d-8f6a-a3f1011bd0d5Saïd Business School - Eureka2005Romero-Morales, DWagelmans, ARomeijn, Hvan Hoesel, SWe consider a model for a serial supply chain in which production, inventory, and transportation decisions are integrated in the presence of production capacities and concave cost functions. The model we study generalizes the uncapacitated serial single-item multilevel economic lot-sizing model by adding stationary production capacities at the manufacturer level. We present algorithms with a running time that is polynomial in the planning horizon when all cost functions are concave. In addition, we consider different transportation and inventory holding cost structures that yield improved running times: inventory holding cost functions that are linear and transportation cost functions that are either linear, or are concave with a fixed-charge structure. In the latter case, we make the additional common and reasonable assumption that the variable transportation and inventory costs are such that holding inventories at higher levels in the supply chain is more attractive from a variable cost perspective. While the running times of the algorithms are exponential in the number of levels in the supply chain in the general concave cost case, the running times are remarkably insensitive to the number of levels for the other two cost structures.
spellingShingle Romero-Morales, D
Wagelmans, A
Romeijn, H
van Hoesel, S
Integrated lot-sizing in serial supply chains with production capacities
title Integrated lot-sizing in serial supply chains with production capacities
title_full Integrated lot-sizing in serial supply chains with production capacities
title_fullStr Integrated lot-sizing in serial supply chains with production capacities
title_full_unstemmed Integrated lot-sizing in serial supply chains with production capacities
title_short Integrated lot-sizing in serial supply chains with production capacities
title_sort integrated lot sizing in serial supply chains with production capacities
work_keys_str_mv AT romeromoralesd integratedlotsizinginserialsupplychainswithproductioncapacities
AT wagelmansa integratedlotsizinginserialsupplychainswithproductioncapacities
AT romeijnh integratedlotsizinginserialsupplychainswithproductioncapacities
AT vanhoesels integratedlotsizinginserialsupplychainswithproductioncapacities