“…To generate analytical insights, we provide examples with uniform and exponential demand, and quadratic, cubic and exponential cost functions. We then analyse inventory pooling (e.g., Eppen, 1979;Chen and Lin, 1989;Cherikh, 2000;Gerchak and He, 2003;Sobel 2008;Yang and Schrage, 2009;Cai and Du, 2009) with nonlinear production costs. Inventory pooling, whether physical or virtual, reduces effective demand variability, and thus reduces (linear) expected costs, provided that transshipment is not too expensive.…”