Integrated Lot Sizing in Serial Supply Chains with Production Capacities

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

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

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.
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.
SprogEngelsk
TidsskriftManagement Science
Vol/bind51
Udgave nummer11
Sider1706-1719
ISSN0025-1909
DOI
StatusUdgivet - 2005
Udgivet eksterntJa

Emneord

  • Lot sizing
  • Integration of production planning and transportation
  • Dynamic programming
  • Polynomial time algorithms

Citer dette

van Hoesel, S., Romeijn, H. E., Morales, D. R., & Wagelmans, A. P. M. (2005). Integrated Lot Sizing in Serial Supply Chains with Production Capacities. Management Science, 51(11), 1706-1719. DOI: 10.1287/mnsc.1050.0378
van Hoesel, Stan ; Romeijn, H. Edwin ; Morales, Dolores Romero ; Wagelmans, Albert P. M./ Integrated Lot Sizing in Serial Supply Chains with Production Capacities. I: Management Science. 2005 ; Bind 51, Nr. 11. s. 1706-1719
@article{259c67dc5ae14759a06c155b89207817,
title = "Integrated Lot Sizing in Serial Supply Chains with Production Capacities",
abstract = "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.",
keywords = "Lot sizing, Integration of production planning and transportation, Dynamic programming, Polynomial time algorithms",
author = "{van Hoesel}, Stan and Romeijn, {H. Edwin} and Morales, {Dolores Romero} and Wagelmans, {Albert P. M.}",
year = "2005",
doi = "10.1287/mnsc.1050.0378",
language = "English",
volume = "51",
pages = "1706--1719",
journal = "Management Science",
issn = "0025-1909",
publisher = "Institute for Operations Research and the Management Sciences",
number = "11",

}

van Hoesel, S, Romeijn, HE, Morales, DR & Wagelmans, APM 2005, 'Integrated Lot Sizing in Serial Supply Chains with Production Capacities' Management Science, bind 51, nr. 11, s. 1706-1719. DOI: 10.1287/mnsc.1050.0378

Integrated Lot Sizing in Serial Supply Chains with Production Capacities. / van Hoesel, Stan; Romeijn, H. Edwin; Morales, Dolores Romero; Wagelmans, Albert P. M.

I: Management Science, Bind 51, Nr. 11, 2005, s. 1706-1719.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Integrated Lot Sizing in Serial Supply Chains with Production Capacities

AU - van Hoesel,Stan

AU - Romeijn,H. Edwin

AU - Morales,Dolores Romero

AU - Wagelmans,Albert P. M.

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

KW - Lot sizing

KW - Integration of production planning and transportation

KW - Dynamic programming

KW - Polynomial time algorithms

U2 - 10.1287/mnsc.1050.0378

DO - 10.1287/mnsc.1050.0378

M3 - Journal article

VL - 51

SP - 1706

EP - 1719

JO - Management Science

T2 - Management Science

JF - Management Science

SN - 0025-1909

IS - 11

ER -

van Hoesel S, Romeijn HE, Morales DR, Wagelmans APM. Integrated Lot Sizing in Serial Supply Chains with Production Capacities. Management Science. 2005;51(11):1706-1719. Tilgængelig fra, DOI: 10.1287/mnsc.1050.0378