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This model simultaneously optimizes the decisions of location, allocation, inventory, and routing and minimizes the system costs.
A review of literature indicates that a problem related with Distribution Networks Design (DND) involves several decisions to be optimized, such as location, allocation, inventory, and routing.
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This article studies a multi-product and multi-period location-routing-inventory problem in which location-allocation, inventory and routing decisions are to be taken in a three-level supply chain including suppliers, depots and customers.
In this paper, a design of the supply chain distributer retailer network for a seasonal multiple-product location allocation-inventory control problem in a planning horizon consisting of multiple periods is modeled.
We give a continuous non-linear formulation that integrates location, allocation and inventory decisions, and includes the costs of transportation, cycle inventory, safety stock, ordering and facility opening.
(2008, 2009) determine shelf-space allocation and inventory quantities.
This paper for the first time presents a novel model to simultaneously optimize location, allocation, capacity, inventory, and routing decisions in a stochastic supply chain system.
Hariga and Al-Ahmari (2013) develop an integrated space allocation and inventory model for a single item with stock-dependent demand.
For the first time, Ahmadi Javid and Azad (2010) presented a new model in a non-deterministic supply chain that simultaneously optimizes the location, allocation, capacity, inventory, and routing decisions.
However, in this paper, we present a multi-objective model to concurrently optimize location, allocation, capacity, inventory, selection of vehicles, and routing decisions with risk-pooling in a stochastic supply chain system for the first time.
In this paper, the assignment problem considers the strategic and tactical decisions together, which involves the mapping of components to geographically distributed plants, the selection of logistics services between the mapped plants, and the allocation of inventories in each plant.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com