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Evaluation and control of inventory distribution systems with quantity based shipment consolidation

Malmberg, Filip LU and Marklund, Johan LU (2023) In Naval Research Logistics 70(2). p.205-227
Abstract

Joint consideration of inventory and shipment decisions is an important aspect of obtaining economically and environmentally sustainable distribution systems. We consider this issue in the context of a one-warehouse-multiple-retailer inventory system with quantity-based shipment consolidation to groups of nonidentical retailers facing Poisson demand. The system is centralized, with free information sharing and access to real-time point of sale data. Thus, demand information at the retailers is immediately conveyed upstream to the warehouse without any fixed ordering costs. However, fixed costs associated with handling and transporting goods from the warehouse to the retailers are reflected in the shipment consolidation policy. Stock... (More)

Joint consideration of inventory and shipment decisions is an important aspect of obtaining economically and environmentally sustainable distribution systems. We consider this issue in the context of a one-warehouse-multiple-retailer inventory system with quantity-based shipment consolidation to groups of nonidentical retailers facing Poisson demand. The system is centralized, with free information sharing and access to real-time point of sale data. Thus, demand information at the retailers is immediately conveyed upstream to the warehouse without any fixed ordering costs. However, fixed costs associated with handling and transporting goods from the warehouse to the retailers are reflected in the shipment consolidation policy. Stock replenishments at the warehouse are made from an outside supplier/manufacturer according to an (R, Q) policy. For this system, we derive an exact recursive method for determining the inventory level distributions at the retailers. This allows us to evaluate the expected inventory and shipment costs, fill-rates, and transport emissions for the entire system. We also show how to optimize the system by providing bounds on the optimal shipment quantities and the warehouse reorder level.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
continuous review, inventory, multi-echelon, shipment consolidation, stochastic, sustainability
in
Naval Research Logistics
volume
70
issue
2
pages
205 - 227
publisher
John Wiley & Sons Inc.
external identifiers
  • scopus:85144300328
ISSN
0894-069X
DOI
10.1002/nav.22090
language
English
LU publication?
yes
id
a07d41aa-01a4-4cee-81ac-bea7e6a95e00
date added to LUP
2023-01-23 14:44:25
date last changed
2023-10-26 14:53:33
@article{a07d41aa-01a4-4cee-81ac-bea7e6a95e00,
  abstract     = {{<p>Joint consideration of inventory and shipment decisions is an important aspect of obtaining economically and environmentally sustainable distribution systems. We consider this issue in the context of a one-warehouse-multiple-retailer inventory system with quantity-based shipment consolidation to groups of nonidentical retailers facing Poisson demand. The system is centralized, with free information sharing and access to real-time point of sale data. Thus, demand information at the retailers is immediately conveyed upstream to the warehouse without any fixed ordering costs. However, fixed costs associated with handling and transporting goods from the warehouse to the retailers are reflected in the shipment consolidation policy. Stock replenishments at the warehouse are made from an outside supplier/manufacturer according to an (R, Q) policy. For this system, we derive an exact recursive method for determining the inventory level distributions at the retailers. This allows us to evaluate the expected inventory and shipment costs, fill-rates, and transport emissions for the entire system. We also show how to optimize the system by providing bounds on the optimal shipment quantities and the warehouse reorder level.</p>}},
  author       = {{Malmberg, Filip and Marklund, Johan}},
  issn         = {{0894-069X}},
  keywords     = {{continuous review; inventory; multi-echelon; shipment consolidation; stochastic; sustainability}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{205--227}},
  publisher    = {{John Wiley & Sons Inc.}},
  series       = {{Naval Research Logistics}},
  title        = {{Evaluation and control of inventory distribution systems with quantity based shipment consolidation}},
  url          = {{http://dx.doi.org/10.1002/nav.22090}},
  doi          = {{10.1002/nav.22090}},
  volume       = {{70}},
  year         = {{2023}},
}