Arbeitspapier

Polynomial Time Algorithms for Some Multi-Level Lot-Sizing Problems 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 for different transportation cost functions. The model we study is a generalization of the traditional single-item economic lot-sizing model, adding stationary production capacities at the manufacturer, as well as multiple intermediate storage levels (including the retailer level), and transportation between these levels. Allowing for general concave production costs and linear holding costs, we provide polynomial time algorithms for the cases where the transportation costs 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. The running times of the algorithms are remarkably insensitive to the number of levels in the supply chain.

Sprache
Englisch

Erschienen in
Series: Tinbergen Institute Discussion Paper ; No. 02-066/4

Klassifikation
Wirtschaft
Optimization Techniques; Programming Models; Dynamic Analysis
Thema
Lot-sizing
Integration of Production Planning and Transportation
Dynamic Programming
Polynomial Time Algorithms
Losgröße
Produktionsplanung
Lieferantenmanagement
Logistik
Dynamische Optimierung
Theorie

Ereignis
Geistige Schöpfung
(wer)
van Hoesel, Stan
Romeijn, H. Edwin
Morales, Dolores Romero
Wagelmans, Albert P.M.
Ereignis
Veröffentlichung
(wer)
Tinbergen Institute
(wo)
Amsterdam and Rotterdam
(wann)
2002

Handle
Letzte Aktualisierung
10.03.2025, 11:42 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • van Hoesel, Stan
  • Romeijn, H. Edwin
  • Morales, Dolores Romero
  • Wagelmans, Albert P.M.
  • Tinbergen Institute

Entstanden

  • 2002

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