The joint replenishment problem is a fundamental model in supply chain management theory that has applications in inventory management, logistics, and maintenance scheduling. In this problem, there are multiple item types, each having a given time-dependent sequence of demands that need to be satisfied. In order to satisfy demand, orders of the item types must be placed in advance of the due da...

There are many resource restrictions in real production/inventory systems (for example, budget, storage, transportation capacity, etc.). But unlike other research areas, there is very little research to handle the joint replenishment problem (JRP) with resource restriction. The purpose of this paper is to develop two efficient algorithms for solving these problems. Firstly, we modify the existi...

Real life inventory lot sizing problems are frequently challenged with the need to order different types of items within same batch. The Joint Replenishment Problem (JRP) addresses this setting coordinated ordering by minimizing total cost, composed (or setup) costs and holding costs, while satisfying demand. complexity problem increases when some or all item prone obsolescence. In fact, may ex...

The objective of the classical Joint Replenishment Problem (JRP) is to minimize ordering costs by combining orders in two stages, first at some retailers, and then at a warehouse. These orders are needed to satisfy demands that appear over time at the retailers. We investigate the natural special case that each demand has a deadline until when it needs to be satisfied. For this case, we present...

Interdependence of minor ordering costs occurs in joint replenishment of inventory when the cost of placing an item in an order depends on which other items are also in the order. In this paper, we propose an evolutionary algorithm (EA) for joint replenishment of inventory which allows for the interdependence of minor ordering costs. Since solutions to the joint replenishment problem (JRP) can ...

We consider inventory systems with several distinct items. Demands occur at constant, item specific rates. The items are interdependent because of jointly incurred fixed procurement costs: The joint cost structure reflects general economies of scale, merely assuming a monotonicity and concavity (submodularity) property. Under a power-of-two policy each item is replenished with constant reorder ...