In this paper we determine a simple inventory control rule for multi-e
chelon distribution systems under periodic review without lot sizing.
The primary focus is the two-echelon model with a stockless central de
pot, but several extensions(> 2 echelons, central stock allowed) are d
iscussed as well. The control rule consists of two parameter sits: a s
et of rationing fractions at the central depot with the purpose to min
imize inventory imbalance, and a set of order-up-to levels for the loc
al stockpoints with the purpose to achieve a target service level (fil
l rate) per local stockpoint. The problem to calculate these control p
arameters is solved by decomposition in two subproblems. First the rat
ioning fractions are determined such that the (approximate) expected s
ystem imbalance is minimized. Next the order-up-to levels are calculat
ed such that the target fill rates are achieved. Numerical results sho
w that this control rule, called Balanced Stock (BS) rationing, is acc
urate and more robust than the Consistent Appropriate Share (CAS) rati
oning policy. (C) 1997 Elsevier Science B.V.