Reverse Logistics Inventory Model with the Partial Backlogging during Shortage Period

The characteristics of reverse logistics make the inventory management issues very complex. Once shortage happens, the reverse logistics network nodes will have insufficient workload even stop work. The previous studies about shortage more established on the assumptions of complete backlogging or complete losing, but the partial backlogging problem is less discussed. So this study develops a partial backlogging reverse logistics inventory model, and proposes a new algorithm to minimize the total cost. Finally, a practical example of the numerical analysis is given.