| Pareto's
Fractal Nature: A Powerful Tool
Justin Townsley, 3 September 2003
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Nearly everyone is familiar with “The 80/20
Rule.” Almost as many are familiar with its more accurate
name, “Pareto’s Law.” The basic premise emerged
from a study of income distribution in Italy by an economist named
Pareto. He found that 80% of the wealth in the economy was concentrated
in 20% of the population. It turns out that the distribution he
encountered exists in lots of areas, and its use has become a staple
in business analysis, particularly by contemporary students of quality
management.
Not nearly as widely known, however, is the likelihood
that set of numbers conforming to Pareto’s Law may conform
at multiple levels. This fact, coupled with the already-wide application,
produces an extremely powerful tool. This column will examine only
one application in detail, purchasing. By the end of the column
you will have learned how to eliminate 51% of the cost of your purchasing
department, while still lowering cost of material procured, and
probably increasing satisfaction as well. The article will close
by mentioning just a handful of the many possible business applications
of the tool.
The Story in One Picture
To set the stage for the diagram below,
let’s imagine that the column on the left is the “Cause”
column for whatever problem we’re studying, and the column
on the right is the “Effect” column. It might be a number
of things, but since we’re examining purchasing, let’s
say that the Cause column is the line items of materials we’re
purchasing and the Effect column is the total cost of those materials.
From the chart then, we can see obviously that 20% of the line items
of materials we purchase accounts for 80% of the total expenditure
on materials (the “Critical 20”). This conforms to the
Rule as most people understand and employ it. Beyond this, however,
it get very interesting – and much more powerful. We’ve
colored the top 20% of our cause column (turquoise), leaving 80%
below it. Let’s take 20% of that remaining 80%, or 16% of
the total (the cream color); and the corresponding 80% of the remaining
20% in the effect column, also –coincidentally—16%.
This next tier of our purchases is meaningful, but not as important
as our Critical 20; we’ll call them the “Meaningful
16.” Continuing this process -- the maroon bar-- links 13%
of the line items to only 3.2% of the total cost (the “Infrequent
13”); and finally we find that 51% of the line items we purchase
account for only 0.8% of the total cost (the “Trivial 51”).
This relationship, “Stacked” or “Fractal Pareto,”
has held true in dozens of distributions evaluated.
In the case of purchasing, all too often purchasing
departments report results based on the percentage of savings they
achieved from some prior purchase baseline. The better measure is
the total cost of purchasing, including internal purchasing department
resources. With this tool, it’s clear that the purchasing
department should spend as few resources on the bottom tier purchase
as possible. This is effectively accomplished by outsourcing this
tier of purchases to a single source distributor (see prior articles
on Outsourcing and Performance Based Contracts) that has the breadth,
in line items as well as geography, to satisfy the needs with minimal
oversight by the purchasing department. The implication here is
that, if your purchasing department is justifying its existence
and resources by competing every acquisition -- and proudly reporting
percentage savings on each line item – you should focus its
attention on the top one, two, or three tiers of the procurement
Pareto distribution, and outsource the remainder. Companies often
start by outsourcing only the bottom tier, and then find that they
are better served to add middle tiers as well.
Other Applications
This same tool can be used to evaluate:
Operations problem in
- Manufacturing - product line SKU’s for make/buy
decisions,
- Distribution – inventory stocking lines and levels,
- Inventory – parts levels for manufactured products,
Customer Relationship Management problems in
- Marketing – investment in customer retention/acquisition,
- Sales volumes – pricing/discount decisions,
- Credit – terms decisions.
From the foregoing, then, it should be clear that
there’s a lot of power packed in Pareto analysis, especially
when its fractal nature is recognized. As you look through your
own business, expect to find this distribution more often than not.
---
Author
Justin L. Townsley, Jr. is a Managing Partner at FourBridge Partners
LLP, a consultancy specializing in operational and organization
performance improvement for firms facing significant challenge.
jlt@fourbridge.com, (312)
560-1972
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