MANAGEMENT SCIENCE
Vol. 50, No. 12 Supplement, December 2004, pp. 1875–1886
issn 0025-1909 eissn 1526-5501 04 5012S 1875
inf orms
®
doi 10.1287/mnsc.1040.0266
© 2004 INFORMS
Information Distortion in a Supply Chain:
The Bullwhip Effect
Hau L. Lee
1
Department of Industrial Engineering and Engineering Management, Stanford University, Stanford, California 94305
V. Padmanabhan
2
, Seungjin Whang
Graduate School of Business, Stanford University, Stanford, California 94305
C
onsider a series of companies in a supply chain, each of whom orders from its immediate upstream member.
In this setting, inbound orders from a downstream member serve as a valuable informational input to
upstream production and inventory decisions. This paper claims that the information transferred in the form of
“orders” tends to be distorted and can misguide upstream members in their inventory and production decisions.
In particular, the variance of orders may be larger than that of sales, and distortion tends to increase as one moves
upstream—a phenomenon termed “bullwhip effect.” This paper analyzes four sources of the bullwhip effect:
demand signal processing, rationing game, order batching, and price variations. Actions that can be taken to
mitigate the detrimental impact of this distortion are also discussed.
Key words : supply chain management; information distortion; information integration; production and
inventory management
History : Accepted by Marshall Fisher, received March 10, 1994. This paper was with the authors 3 months for
2 revisions.
1. Introduction
Recent interest in supply chain management centers
around coordination among various members of a
supply chain comprising manufacturers, distributors,
wholesalers and retailers. There are many examples
of the benefits of coordination activities to the indi-
vidual members in the supply chain (see, for example,
Byrnes and Shapiro 1992, and Kurt Salmon Asso-
ciates 1993).
One important mechanism for coordination in a
supply chain is the information flows among mem-
bers of the supply chain. These information flows
have a direct impact on the production scheduling,
inventory control and delivery plans of individual
members in the supply chain. This paper studies
the demand information flow in a supply chain and
reports the systematic distortion in demand informa-
tion as it is passed along the supply chain in the
form of orders. The illustration in Figure 1 (based on
real data but manipulated to maintain confidentiality)
shows a retail store’s sales of a product, alongside the
retailer’s orders issued to the manufacturer. The figure
clearly highlights the distortion in demand informa-
tion. The retailer’s orders do not coincide with the
actual retail sales. In this paper the bullwhip effect or
whiplash effect refers to the phenomenon where orders
1
Current affiliation: Graduate School of Business, Stanford Univer-
sity, Stanford, California.
2
Current affiliation: INSEAD, Fontainebleau, France.
to the supplier tend to have larger variance than
sales to the buyer (i.e., demand distortion), and the
distortion propagates upstream in an amplified form
(i.e., variance amplification).
The bullwhip phenomenon has been recognized
in many diverse markets. Procter & Gamble found
that the diaper orders issued by the distributors have
a degree of variability that cannot be explained by
consumer demand fluctuations alone. At Hewlett-
Packard, the orders placed to the printer division
by resellers have much bigger swings and variations
than customer demands, and the orders to the com-
pany’s integrated circuit division have even worse
swings. Also, it is often said that the DRAM mar-
ket faces a much higher volatility than the computer
market. (See Lee et al. 1997 for more evidence of the
bullwhip effect.)
The distortion of demand information implies that
the manufacturer who only observes its immediate
order data will be misled by the amplified demand
patterns, and this has serious cost implications. For
instance, the manufacturer incurs excess raw mate-
rials cost due to unplanned purchases of supplies,
additional manufacturing expenses created by excess
capacity, inefficient utilization and overtime, excess
warehousing expenses and additional transportation
costs due to inefficient scheduling and premium
shipping rates. Trade estimates suggest that these
activities can result in excess costs in the range
between 12.5% to 25% (Kurt Salmon Associates 1993).
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