发表在 Operations Research, 1990. DOI: https://doi.org/10.1287/opre.38.2.278.
Subject classification: Inventory/production, multi-item/echelon/stage: multilocation models with lateral transshipments.
This paper examines appropriate inventory policies when transshipments among multiple outlets are permitted as recourse actions once demands are observed.
$x_t \in \mathrm{R}^n$: starting inventory in period $t$
$y_t \in \mathrm{R}^n$: order-up-to inventory level in period $t$
$w_{ij} \geqslant 0$: the amount transshipped from location $i$ to location $j$
The lead times for ordering and transshipment are assumed to be zero.
After the orders have been received, the demand $\xi_t \in \mathrm{R}^n$ is observed. The CDF of
The ending inventory level is $$ x_{t-1}^i=y_t^i - \xi_t^i +\sum_{\substack{j=1 \\ j \neq i}}^n\left(w_t^{j i}-w_t^{i j}\right) \quad i=1, \ldots, n $$