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Exact analysis of One-Warehouse-Multiple-Retailer inventory systems with quantity restricted deliveries

Andersson, Jonas LU ; Malmberg, Filip LU and Marklund, Johan LU (2023) In European Journal of Operational Research 309(3). p.1161-1172
Abstract

Joint consideration and coordination of inventory and shipment decisions is an important challenge in the quest for sustainable distribution systems. This paper addresses this issue by presenting a method for exact analysis of the inventory level distributions in a centralized One-Warehouse-Multiple-Retailer (OWMR) inventory system with quantity restricted deliveries from the warehouse. The system is characterized by continuous review (R,nQ) policies, complete backordering, and compound Poisson demand. The class of quantity restricted delivery policies we consider is motivated by a common desire in practice to ship full load carriers. It generalizes the assumption of unrestricted partial deliveries often used in the literature, and... (More)

Joint consideration and coordination of inventory and shipment decisions is an important challenge in the quest for sustainable distribution systems. This paper addresses this issue by presenting a method for exact analysis of the inventory level distributions in a centralized One-Warehouse-Multiple-Retailer (OWMR) inventory system with quantity restricted deliveries from the warehouse. The system is characterized by continuous review (R,nQ) policies, complete backordering, and compound Poisson demand. The class of quantity restricted delivery policies we consider is motivated by a common desire in practice to ship full load carriers. It generalizes the assumption of unrestricted partial deliveries often used in the literature, and allows the warehouse to only ship retailer specific delivery batch quantities to the different retailers. The delivery batches typically represent package or pallet sizes, containers, or full truckloads. An attractive feature of our approach is that it does not add to the computational effort of analyzing the special case of unrestricted partial deliveries available in the existing literature. A numerical study shows that accounting for quantitative delivery restrictions used in transportation and handling operations when optimizing the reorder points in multi-echelon systems can be very important. Failure to do so can lead to high backorder costs and inadequate customer service.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Delivery policy, Inventory, Multi-echelon, Stochastic, Sustainable
in
European Journal of Operational Research
volume
309
issue
3
pages
12 pages
publisher
Elsevier
external identifiers
  • scopus:85149833907
ISSN
0377-2217
DOI
10.1016/j.ejor.2023.02.026
language
English
LU publication?
yes
id
438f3c4a-dffd-4e76-8d9b-03f5bbf14685
date added to LUP
2023-05-15 12:03:33
date last changed
2023-05-15 12:03:33
@article{438f3c4a-dffd-4e76-8d9b-03f5bbf14685,
  abstract     = {{<p>Joint consideration and coordination of inventory and shipment decisions is an important challenge in the quest for sustainable distribution systems. This paper addresses this issue by presenting a method for exact analysis of the inventory level distributions in a centralized One-Warehouse-Multiple-Retailer (OWMR) inventory system with quantity restricted deliveries from the warehouse. The system is characterized by continuous review (R,nQ) policies, complete backordering, and compound Poisson demand. The class of quantity restricted delivery policies we consider is motivated by a common desire in practice to ship full load carriers. It generalizes the assumption of unrestricted partial deliveries often used in the literature, and allows the warehouse to only ship retailer specific delivery batch quantities to the different retailers. The delivery batches typically represent package or pallet sizes, containers, or full truckloads. An attractive feature of our approach is that it does not add to the computational effort of analyzing the special case of unrestricted partial deliveries available in the existing literature. A numerical study shows that accounting for quantitative delivery restrictions used in transportation and handling operations when optimizing the reorder points in multi-echelon systems can be very important. Failure to do so can lead to high backorder costs and inadequate customer service.</p>}},
  author       = {{Andersson, Jonas and Malmberg, Filip and Marklund, Johan}},
  issn         = {{0377-2217}},
  keywords     = {{Delivery policy; Inventory; Multi-echelon; Stochastic; Sustainable}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{1161--1172}},
  publisher    = {{Elsevier}},
  series       = {{European Journal of Operational Research}},
  title        = {{Exact analysis of One-Warehouse-Multiple-Retailer inventory systems with quantity restricted deliveries}},
  url          = {{http://dx.doi.org/10.1016/j.ejor.2023.02.026}},
  doi          = {{10.1016/j.ejor.2023.02.026}},
  volume       = {{309}},
  year         = {{2023}},
}