Excel will automatically calculate and plot
trendlines in our chart.
The trendline formula and the R2 value can also be
displayed. R2 is the
coefficient of determination and ranges from 0 to 1. Think of it as
the percentage of change
in the service level that can be explained by a
change in MOH. The best-fitting
trendline will have the highest R2 value. (Different style
trendlines can be compared by their R2 values because Excel uses
transformed regression analysis, rather than least squared,
for the R2 values displayed in charts.) For MOH charts, a
logarithmic trendline will
usually have the highest R2. Further, we know
we can never be assured of a
100 percent service level, so a logarithmic trendline is
also the most logical choice.
Using the trendline (or the formula) a planner can
determine the inventory
requirements for a given service level. For example, a service level
of 95 percent should be assured with 3.3 MOH. The problem is that
with the
very low R2 value of 0.1021, only 10 percent of the
historical service level
was caused by the MOH inventory. In fact, 95 percent
was frequently
achieved with much less inventory, and the only month
with more than 3.3 MOH actually had a service level below 95
percent! Obviously we needed
a better method to determine our inventory
requirements.
Before we continue, I want to give you a quick
overview of pyramid
forecasting. Historical data is captured at the SKU level, SKU
ratios are noted, and the data
is aggregated by product family. Future demand is forecasted
by factoring in such things as planned promotions, competitive
activity and the product life cycle. The forecasted
totals are then disaggregated
back to the SKU level using the historical
ratios.
Inventory targets are determined by adding safety stock to the
forecasted demand. The key point here is that inventory targets are
established at the SKU level.
We hypothesized that the relationship of the
inventory to the SKU
targets, rather than to the months on hand total,
would be a better indicator
of the expected service level. We conducted a test, and the result
was
a new analytical technique, which we call inventory
profile analysis.
First, we need some definitions:
•
SKU: Stockkeeping unit, a part number at a location
•
target: the desired inventory at the SKU level
•
actual: the projected or current inventory at the SKU
level
•
coverage: the actual SKU inventory up to the SKU
target
•
shortage: the additional SKU inventory needed to
reach target
•
excess: any SKU inventory above target
•
index: coverage, shortage, or excess as a percentage
of target
•
balance: the shortage (or excess) index when actual =
target
•
IPA Formulas: Actual = Coverage + Excess
Target = Coverage + Shortage.
I will demonstrate with a hypothetical product.
Product family Y200 has five part numbers and is
stocked at two
DCs (Chicago and Oakland) for a total of 10 SKUs. The
total target for
all 10 SKUs is 100 units. Actual inventory is only 90
units. Conventional
aggregation techniques would tell us we are at 90
percent of plan.
The target for Y201 in Chicago is 10 units, but we
only have three available there. This shortage of seven will cause
service-level problems
in Chicago despite the fact that we have seven excess units of
Y201 in Oakland. Speaking of
Oakland, excess quantities ofY201 and
Y202 will not
offset shortages of Y203, Y204, and Y205.
Figure
2 is an IPA chart. SKUs are on the X axis and
quantity is on
the Y axis. The bars are actual inventory and the
line is the target. Coverage is the amount of any bar below the
line, and excess is any amount above target. Shortage is the
compliment of coverage and is
seen here as the gap between a bar and the line. We have excess in
four
SKUs and shortages in six SKUs.
We are short 27 units, or 27 percent of target. We
would say the IPA shortage index is 27. Coverage, the complement of
shortage, is 73 units,
so the coverage index is 73, which is probably a
better indicator of expected service level than the 90 percent we
had using traditional
analysis.
Despite these serious shortages, product Y200 has an
excess index
of 17. Excess inventory has only a minimal impact on
service level, known as the
excess effect, and is a very inefficient use of resources. I
will
illustrate.
Let's assume normal distribution and only two SKUs.
Our target is two standard deviations, which will give us a 95
percent service level.
But our actual inventory is only one standard
deviation for one SKU and three
for the other. Our total inventory is at target, but we are out of
balance by one standard
deviation. The excess effect of 3 percent (98 -95) and the
shortage effect of 10 percent (95 - 85) will cause a net
reduction in
service level of 7 percent (10 - 7), from 95 to 88 percent.
The same situation exists when demand is not normal.
As long as we include safety stock in our target, we will be on the
righthand side
of the curve, and the excess effect will be smaller
than the shortage effect. The
actual amount will depend on the slope of the curve. The
lesson to leam here is that
balanced inventories will always have higher service levels than
unbalanced inventories. IPA can be used to measure and report
the degree of our inventory balance.
To test IPA against MOH, SOLA conducted a parallel
study of
seven products, each consisting of several hundred
SKUs, from July through December
1997. We downloaded data weekly, discarding the
Christmas-New Year week as
atypical. This time period included heavy backorders to full
recovery. We will look at one product in detail and then a summary
of all seven. SOLA proprietary information has been
disguised. A 95 percent service level objective will be
used as an
example.
To Be Continued