Exact analysis of divergent inventory systems with time-based shipment consolidation and compound poisson demand
(2016) In Operations Research 64(4). p.906-921- Abstract
Sustainable and efficient management of a distribution system requires coordination between transportation planning and inventory control decisions. In this context, we consider a one warehouse multi-retailer inventory system with a time-based shipment consolidation policy at the warehouse. This means that there are fixed costs associated with each shipment, and retailer orders are consolidated and shipped periodically to groups of retailers sharing the same delivery routes. Customer demand is compound Poisson distributed and unsatisfied demand at each stock point is backordered and allocated on a first-come first-served basis. The system is centralized and inventory levels are reviewed continuously. The warehouse has access to... (More)
Sustainable and efficient management of a distribution system requires coordination between transportation planning and inventory control decisions. In this context, we consider a one warehouse multi-retailer inventory system with a time-based shipment consolidation policy at the warehouse. This means that there are fixed costs associated with each shipment, and retailer orders are consolidated and shipped periodically to groups of retailers sharing the same delivery routes. Customer demand is compound Poisson distributed and unsatisfied demand at each stock point is backordered and allocated on a first-come first-served basis. The system is centralized and inventory levels are reviewed continuously. The warehouse has access to real-time inventory information from the retailers, and uses a 4R1nQ5 policy to replenish from an outside supplier/manufacturer. We derive the exact probability distributions for the inventory levels at the retailers, and use these to obtain exact expressions for the system's expected shipment, holding and backorder costs, its average inventory levels, and fill rates. Based on the analytical properties of the objective function, we construct an optimization procedure by deriving bounds on the optimal reorder levels and shipment intervals both for single-item and multi-item systems.
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- author
- Stenius, Olle LU ; Karaarslan, Ayşe Gönül ; Marklund, Johan LU and De Kok, A. G.
- organization
- publishing date
- 2016-07-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Compound Poisson demand, Continuous review, Inventory, Multi-item, Multiechelon, Shipment consolidation, Stochastic
- in
- Operations Research
- volume
- 64
- issue
- 4
- pages
- 16 pages
- publisher
- Inst Operations Research Management Sciences
- external identifiers
-
- scopus:84982085249
- wos:000381917500008
- ISSN
- 0030-364X
- DOI
- 10.1287/opre.2016.1510
- language
- English
- LU publication?
- yes
- id
- f09d36d0-c9b8-4ac2-a913-13f3a9d31210
- date added to LUP
- 2017-01-17 15:43:30
- date last changed
- 2024-05-17 20:43:49
@article{f09d36d0-c9b8-4ac2-a913-13f3a9d31210,
abstract = {{<p>Sustainable and efficient management of a distribution system requires coordination between transportation planning and inventory control decisions. In this context, we consider a one warehouse multi-retailer inventory system with a time-based shipment consolidation policy at the warehouse. This means that there are fixed costs associated with each shipment, and retailer orders are consolidated and shipped periodically to groups of retailers sharing the same delivery routes. Customer demand is compound Poisson distributed and unsatisfied demand at each stock point is backordered and allocated on a first-come first-served basis. The system is centralized and inventory levels are reviewed continuously. The warehouse has access to real-time inventory information from the retailers, and uses a 4R1nQ5 policy to replenish from an outside supplier/manufacturer. We derive the exact probability distributions for the inventory levels at the retailers, and use these to obtain exact expressions for the system's expected shipment, holding and backorder costs, its average inventory levels, and fill rates. Based on the analytical properties of the objective function, we construct an optimization procedure by deriving bounds on the optimal reorder levels and shipment intervals both for single-item and multi-item systems.</p>}},
author = {{Stenius, Olle and Karaarslan, Ayşe Gönül and Marklund, Johan and De Kok, A. G.}},
issn = {{0030-364X}},
keywords = {{Compound Poisson demand; Continuous review; Inventory; Multi-item; Multiechelon; Shipment consolidation; Stochastic}},
language = {{eng}},
month = {{07}},
number = {{4}},
pages = {{906--921}},
publisher = {{Inst Operations Research Management Sciences}},
series = {{Operations Research}},
title = {{Exact analysis of divergent inventory systems with time-based shipment consolidation and compound poisson demand}},
url = {{http://dx.doi.org/10.1287/opre.2016.1510}},
doi = {{10.1287/opre.2016.1510}},
volume = {{64}},
year = {{2016}},
}