For a product where demand is increasing, many methods have been proposed f
or the determination of the replenishment policy. However, there is little
published research on replenishment when the trend in demand is decreasing,
although it is of some importance. Here a new approach is proposed to over
come the difficulties in the linear decreasing case, and an analytic algori
thm developed so that several well-known heuristics can be applied by simpl
y varying the parameter vector, as in previous papers. It is shown that the
average performance of this eclectic approach is superior to other heurist
ics. (C) 2001 Elsevier Science B.V. All rights reserved.