We consider the problem of integrating inventory control and vehicle routing into a cost-effective strategy for a distribution system consisting of one depot and many geographically dispersed retailers. All stock enters the system through the depot and is distributed to the retailers by vehicles...

A two-stage inventory system is considered where Poisson demand occurs at Stage 1, and Stage 1 replenishes its inventory from Stage 2, which in turn orders from an outside supplier with unlimited stock. Each shipment, either to Stage 2 or to Stage 1, incurs a fixed setup cost. Under the...

We discuss an approximation scheme for the multi-item lot size problem. It is based on an optimal basic solution of a linear programming problem derived from the original problem. The approximate solution is obtained by taking a linear convex combination of the optimal solution of the linear...