In warehouses, storage replenishment operations involve the transportation of items to capacitated item slots in forward area from reserve storage. These are later picked these as demand arises. While order picking constitutes majority warehouse operating costs, efficient management is important ensure availability for and decrease costs due replenishment, which might be particularly higher war...

It is common in inventory theory to consider policies that minimize the expected cost of ordering and holding goods or materials. Nevertheless, the realized cost is a random variable, and, as the Saint Petersburg Paradox reminds us, the expected value does not always capture the full economic reality of a decision problem. Here we take the classic inventory model of Bulinskaya (1964), and, by p...

We consider periodic review inventory control problems in directed networks, primary examples of which are distribution systems and assembly systems. External demand could occur at each node. When inventory is insufficient to meet requirements at a node, a portion of this demand is backordered and the remaining is lost. External demands, as well as lead times for inventory purchase, assembly, a...

A supplier has a periodic review inventory system that provides several lead-time options to its customers. The inventory replenishment lead time is a multiple of the inventory review cycle. Customers are classified into two groups: short lead-time customers requiring the product immediately and long lead-time customers who allow the supplier the flexibility to deliver immediately or in the nex...

This paper describes a model predictive control strategy to tackle the inventory control problem in Supply Chains. The problem is formulated as a receding-horizon optimization problem and the market demand is considered an external unknown disturbance. The behaviour of the Supply Chain is modelled by discrete time difference equations, both the control variables and the output variables are con...