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Supply Chain Management Exercise Question

Supply Chain Management exercise questions

1. Mike Johnson went back to work in his family business after graduating.  The family business, Johnson Bicycles, is a bike shop that specializes in high quality bikes.  They carried a full line of bikes, ranging from touring bikes to mountain bikes and aimed to be the premiere, full service bike shop.  

Currently, Johnson Bicycles has three retail outlets that it stocks individually (and hence manages inventory separately for each location).  Mike thinks that the operation is big enough to take advantage of scale economies and wants to investigate the possibility of consolidating inventory at a centralized distribution point.  Mike thinks that centralizing inventory should lead to a substantial reduction in inventory costs.

The basic idea would be to stock the bikes centrally (excluding the token display model) and expedite delivery to the stores on an as needed basis. He figured if the principal of aggregation would work for the series 200 bike, then it should provide costs savings for all styles of bikes.  Table 1, below, shows last year's sales history for the model 200 series at each retail location.

Series 200 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Std Dev Total
Outlet 1 9 5 15 10 12 5 3 12 23 12 8 5 5.5 119
Outlet 2 10 10 30 12 22 15 17 30 11 14 12 15 7.1 198
Outlet 3 12 22 5 15 14 23 10 4 9 15 3 5 6.7 137
Total Sales 31 37 50 37 48 43 30 46 43 41 23 25 8.9 454

As can be seen, monthly sales varied, but generally, sales remained fairly constant from year to year.  Mike estimated it cost $65 every time the company placed an order for a given model at each location.  The supplier's lead time is a hefty two months, but fortunately it has been constant over time.  Historically, they've stocked to a 98% service level.  Each bike model cost $75 per bike and Mike figures that holding cost to be 25% of the purchase price on an annual basis.   With their high service level, there was naturally, a lot of extra safety stock in inventory.   Mike knew every additional unit of safety stock (recall safety stock is any inventory held in excess of average demand) added directly to the total cost of inventory in the form of added holding cost.  That is, total cost is equal to the cost of ordering plus the cost of holding inventory, where the cost of holding inventory is equal to the cost of holding average inventory plus safety stock.


a. Using the s, S model, what are the order quantities, reorder points, and total annual inventory costs associated with inventory management of the Series 200 line of bikes at each location?

b. What would be the order quantity, reorder point, and total annual inventory cost for a consolidated plan where bikes are stored at a central distribution center?

c. Would you recommend switching to centralized inventory management?  What other factors besides costs should Mike consider?

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Questions.doc
Supply Chain Management exercise questions

Mike Johnson went back to work in his family business after graduating.
The family business, Johnson Bicycles, is a bike shop that specializes
in high quality bikes. They carried a full line of bikes, ranging from
touring bikes to mountain bikes and aimed to be the premiere, full
service bike shop.

Currently, Johnson Bicycles has three retail outlets that it stocks
individually (and hence manages inventory separately for each location).
Mike thinks that the operation is big enough to take advantage of scale
economies and wants to investigate the possibility of consolidating
inventory at a centralized distribution point. Mike thinks that
centralizing inventory should lead to a substantial reduction in
inventory costs.

The basic idea would be to stock the bikes centrally (excluding the
token display model) and expedite delivery to the stores on an as needed
basis. He figured if the principal of aggregation would work for the
series 200 bike, then it should provide costs savings for all styles of
bikes. Table 1, below, shows last year’s sales history for the model
200 series at each retail location.

Series 200 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Std Dev
Total

Outlet 1 9 5 15 10 12 5 3 12 23 12 8 5 5.5 119

Outlet 2 10 10 30 12 22 15 17 30 11 14 12 15 7.1 198

Outlet 3 12 22 5 15 14 23 10 4 9 15 3 5 6.7 137

Total Sales 31 37 50 37 48 43 30 46 43 41 23 25 8.9 454



As can be seen, monthly sales varied, but generally, sales remained
fairly constant from year to year. Mike estimated it cost $65 every
time the company placed an order for a given model at each location.
The supplier’s lead time is a hefty two months, but fortunately it has
been constant over time. Historically, they’ve stocked to a 98%
service level. Each bike model cost $75 per bike and Mike figures that
holding cost to be 25% of the purchase price on an annual basis. With
their high service level, there was naturally, a lot of extra safety
stock in inventory. Mike knew every additional unit of safety stock
(recall safety stock is any inventory held in excess of average demand)
added directly to the total cost of inventory in the form of added
holding cost. That is, total cost is equal to the cost of ordering plus
the cost of holding inventory, where the cost of holding inventory is
equal to the cost of holding average inventory plus safety stock.

Using the s, S model, what are the order quantities, reorder points,
and total annual inventory costs associated with inventory management of
the Series 200 line of bikes at each location?

What would be the order quantity, reorder point, and total annual
inventory cost for a consolidated plan where bikes are stored at a
central distribution center?

Would you recommend switching to centralized inventory management? What
other factors besides costs should Mike consider?

2. Breakfast Foods

John Morgan, CEO of Breakfast Foods Corporation (BF, makers of
"Wheatflakes" and other cereals) had just come back from lunch and
turned to a report on his desk from David Baker. This report concerned
John's desire to fire one of BF's three wheat price forecasters. Every
three months, for nearly ten years, BF had received from their
forecasters best guess forecasts of wheat prices three months hence as
part of BF's desire to reduce its purchase costs. BF relied exclusively
on these forecasts since the experts had already assimilated information
from such sources as futures prices, econometric models and so on.

However, their ten-year tenure had led the experts to be overly exacting
in their demands for retaining fees, and John felt that firing one of
them would not only cut costs directly by about a third, but indirectly
it would send the message to the remaining two that no one was
indispensable. He had asked David to evaluate which one should get the
axe.

David's memo read as follows: I dug out the forecasts made by our three
experts and compared them with the actual prices that resulted three
months later (Exhibit 1 on next page). Clearly what we want is to fire
the expert with the widest spread of errors. I'll give Harry the axe as
soon as you give the order.

Answer the following questions with supporting data.

If an expert is to be fired, would you fire Tom, Dick, or Harry? Why?

Suppose you decide to fire Tom. How would you combine future forecasts
from Dick and Harry into a single composite best guess forecast? For
example, suppose Dick predicts $3.20 and Harry says $3.50. What
composite forecast would you use? One method would be to simply take the
average ($3.20+ $3.50)/2 = $3.35. But that is completely arbitrary.
Propose and justify a method for combining forecasts into a composite
forecast. [Hint: consider measures of forecast error] How "good" is the
composite forecast? Show enough analysis to support your claims.

Now, given your answer to part b., would you change your answer to part
a. and fire someone else? Either way, you will need to support your
answer.



Exhibit 1*

Actual Price Forecast # Tom Smith Dick Wilson Harry Simpson

$3.51 1 $3.48 $3.48 $3.74

3.61 2 3.38 3.47 3.73

3.22 3 3.56 3.58 3.52

3.43 4 3.64 3.51 3.35

3.55 5 3.56 3.47 3.20

3.62 6 3.55 3.53 3.52

3.70 7 3.47 3.57 3.62

3.68 8 3.38 3.57 3.87

3.58 9 3.43 3.44 3.46

3.49 10 3.51 3.56 3.52

3.54 11 3.51 3.55 3.49

3.58 12 3.56 3.59 3.27

3.79 13 3.52 3.47 3.66

3.81 14 3.45 3.41 3.66

3.88 15 3.38 3.36 3.62

3.77 16 3.54 3.54 3.54

3.81 17 3.53 3.54 3.41

3.68 18 3.58 3.51 3.45

3.77 19 3.50 3.48 3.46

3.91 20 3.47 3.47 3.68

3.84 21 3.55 3.43 3.26

3.80 22 3.53 3.51 3.32

3.42 23 3.51 3.54 3.42

3.50 24 3.46 3.39 3.58

3.55 25 3.52 3.59 3.51

3.59 26 3.41 3.42 3.62

3.61 27 3.44 3.51 3.72

3.65 28 3.48 3.54 3.84

3.51 29 3.53 3.47 3.29

3.43 30 3.53 3.55 3.39

3.48 31 3.48 3.47 3.63

3.60 32 3.61 3.51 3.10

3.71 33 3.41 3.39 3.60

3.33 34 3.59 3.70 3.34

3.42 35 3.43 3.57 3.59

3.47 36 3.53 3.44 3.45

3.51 37 3.48 3.41 3.41

3.60 38 3.53 3.57 3.47

3.65 39 3.43 3.38 3.45

3.58 40 3.54 3.53 3.39

* Note that you can copy the table entirely into Excel to facilitate
your analysis

Carol Foriana (sometimes confused with another ex-CEO of a high tech
company) is the CEO of AichPee one of the largest innovative tech
companies in the world. Recently, she was called into a meeting by the
Board of Directors and taken to task for recent performance of the
company. While new product introductions have been up, along with
patent applications, market share has dropped, the company stock price
has plummeted to new lows, and the number of new products that have
failed in the market place is also way up. It seems the company is now
relying on price discounts and promotions to move excess inventory that
has not sold – in order to make room for new products. Moreover, the
company finds itself unable to meet the demand of the products that are
hot in the market.

While these problems are not entirely new, they have certainly been
exacerbated in the past six months. Carol wonders if the problem might
be related to the Global Director of Supply Chain Management she hired
away from Wal-Mart six months ago. Carol is confused. While there is
clearly a coincidence in timing, the new Director demonstrated
remarkable performance in supply chain efficiency in his prior position.
Is it coincidence? Maybe the new director has not had enough time to
implement his program of efficiency. Based on course concepts, what
should Carol do? She must do something or start looking for a new job.
In fact, it may already be too late.

The Friendly Embalming and Mortuary Company (FEMC), experiences
significant seasonal fluctuations in – I suppose you could call it
demand. At the same time, business has been good and increasing. Don,
who heads FEMC recalls that trend adjusted exponential smoothing can
produce very accurate forecasts for just this type of situation. Don
has provided past annual “demand” for the prior 4 years:

Year Demand

2001 855

2002 1022

2003 1333

2004 1546



, provide a forecast for 2005.



Using the same information provided in part a), provide an annual
forecast for 2007.



The annual forecast provided in part a) is helpful, but does not enable
the company to plan its resources by quarter. The following table
provides quarterly “demand” for each of the past four years. Using
this information and the seasonal factor method, provide forecasts for
each quarter of 2005.

Year Quarter Demand Year Quarter Demand

2001 1 171 2003 1 260

2 235

2 373

3 209

3 340

4 239

4 360

2002 1 210 2004 1 325

2 268

2 437

3 243

3 402

4 301

4 383



Short answers for the following:

How can firms cope with huge variability in customer demand?

What is the relationship between service and inventory levels?

What factors should management consider when determining target service
levels?
Inventory Management.ppt
Successful Service Operations Management, 2006, Thomson
Inventory Management
Agenda
Independent Demand Inventory
Dependent vs. independent demand
Basic Economic Order Quantity (EOQ) model. Also known as Economic Lot Size Model
Models with Demand and Supply Uncertainty
Fixed ordering costs: the base-stock model (s,S)
No fixed ordering costs: the base-stock model (S)
Risk pooling
Why do companies hold inventory? Why might they avoid doing so?
WHY?
To meet anticipated customer demand
To account for differences in production timing (smoothing)
To protect against uncertainty (demand surge, price increase, lead time slippage)
To maintain independence of operations (buffering)
To take advantage of economic purchase order size
WHY NOT?
Requires additional space
Opportunity cost of capital
Spoilage / obsolescence
Independent vs. Dependent Demand
Two Decisions in Inventory Management
When is it time to reorder?


If it is time to reorder, how much?
Economic Order Quantity Model: Where it all started….
Basic EOQ Assumptions
Constant Demand Rate
Instantaneous replenishment
Orders received in full after lead-time.
Constant Unit Price (no discounts)
Economic Order Quantity Cost Model: Constant Demand, No Shortages
Trade-off in EOQ Model: Inventory Level vs. Number of Orders
Cost Relationships for Basic EOQ (Constant Demand, No Shortages)
EOQ Results (How Much to Order) (Constant Demand, No Shortages)
EOQ Example (How Much)
D = 1,000 units per year
K = $20 per order
h = $8.33 per unit per month
EOQ Example (cont.) (D = 1,000, K = $20, h = $100)
Robustness of EOQ model
Example: EOQ Robustness
Variations of EOQ
Some assumptions so far
Instantaneous replenishment (zero lead time)
Certain and constant demand rate
Constant price
Some variations of EOQ
Positive lead times and uncertain lead times
Uncertain demand
EOQ with quantity discounts
EOQ with Positive Lead Time
Determining When to Reorder
Quantity to order (how much…) determined by EOQ
Reorder point (when…)determined by finding the inventory level that is adequate to protect the company from running out during delivery lead time
With constant demand and constant lead time, (EOQ assumptions), the reorder point is exactly the amount that will be sold during the lead time.
Effects of Demand / Lead Time Variability on Reorder Point (When)
Calculation of Appropriate Safety Stock Level
Safety stock: stock carried to provide a level of protection against stockouts due to uncertainty of demand during lead time
Stockout Criterion: Find s such that the probability of stockout (during the lead time) is 
Demand during lead time is a random variable
Estimate distribution from historical data (build histogram of demand + frequencies)
Normal is frequently used if distribution is unknown
Computing s …
Computing s: Taking Advantage of the Normal Distribution
Issue…
The parameters  and  refer to mean and standard deviation of demand during lead time
Normally, companies have statistics on demand and lead time per unit of time (say, days, weeks, months)
AVG = average demand per unit of time
STD = standard deviation of demand per unit of time
AVGL = average lead time
STDL = standard deviation of lead time
Just be consistent: if demand is given on a certain time unit, say, days, then use lead time in the same time unit (in this case, days)
How to we compute  and  from AVG, STD, AVGL, and STDL?
More specifically….
The (s,S) Policy: When There Are Fixed Ordering Costs
s should be set to cover the lead time demand and together with a safety stock that insures the stock out probability is  (When)
S depends on the fixed order cost – EOQ (How much)
The (s,S) Policy: Fixed Ordering Costs
Example: (s,S) Model
Consider inventory management for a certain SKU at Home Depot. Supply lead time is variable (since it depends on order consolidation with other stores) and has a mean of 5 days and standard deviation of 2 days.
Daily demand for the item is variable with a mean of 30 units and a coefficient of variation of 0.20.
Assume a 95% service level.
There are fixed ordering costs that are estimated at $50. Assume that holding costs are 15% of the product cost ($80) per year. Also, assume that the store is open 360 days a year. Propose an inventory policy for this SKU.
Solution
Example: (s,S) Model
Consider inventory management for a certain SKU at WalMart. Supply lead time is variable and has a mean of 1 week and standard deviation of 2 weeks.
Weekly demand for the item is variable with a mean of 125 units and a standard deviation of 50.
Assume a 90% service level.
There are fixed ordering costs that are estimated at $30. Assume that holding costs are 20% of the product cost ($40) per year. Also, assume that the store is open 52 weeks a year. Propose an inventory policy for this SKU.
Solution
The Base-Stock Policy s: No Fixed Ordering Costs
Inventory policy: keep IP constant at s units (s is called the base stock level).
When: IP drops below s
So, s is also the reorder point for this model
How much: order to bring IP back to s
Example: suppose inventory level on-hand is 10, s = 20, and there are 2 units already in order. Then, IP = 10 + 2 = 12 units. The firm should order 20 – 12 = 8 units.
Example: Base-Stock Model s
Consider inventory management for a certain SKU at King Soopers Supply lead time is variable and has a mean of 2 days and standard deviation of 4 days. Daily demand for the item is variable with a mean of 24 units and a coefficient of variation of 0.30. Propose an inventory policy for this SKU. Assume a 98% service level.
Summary of Inventory Models
Risk Pooling
Means and variances are additive
Stock is based on std. Deviations
Square root law: stock for combined demands is less than the combined stocks
HP Example: Benefits of a Universal Product
HP Example (cont.): Benefits of a Universal Product
Blank Presentation
Custom Design

Solution Summary

This is a discussion of Supply Chain & Inventory Management for a fictitious company called Johnson Bicycles.

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