Economic lot-sizing games with perishable inventory

We consider the economic lot-sizing (ELS) game with perishable inventory. In this cooperative game, a number of retailers that have a known demand through a fixed number of periods for a same kind of perishable goods collaborate to place joint orders to a single supplier. We first show that an ELS game with perishable inventory is subadditive, totally balanced and its core is nonempty. Then, we propose an allocation in the core which allocates the unit cost to each period as equally as possible. Finally, a numerical example is given to illustrate the above results.