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CHAPTERS 1 3  W A R EHO U S E O P E RA T I O N S  Warehouse and Distribution Science

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C H A P T E R S 1 – 3

 W A R E H O U S E O P E R A T I O N S

 Warehouse and Distribution

Science

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Definition of a Warehouse

 Warehouses are points in the supply chain whereproduct pauses and is touched.

Consumes both space and time (person-hours).

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 Why have a warehouse?

To better match supply with customer demand

To consolidate product, reduce shipping cost

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Types of Warehouses

Retail Distribution Center (DC)

Service Parts DC

Catalog fulfillment or E-commerce DC

3PL Warehouse Perishables Warehouse

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 Warehouse Systems Determined by 

Inventory characteristics

Number of products, size, and turn rates

Throughput and service requirements

Number of lines picked and orders shipped per day  Footprint of building & cost of equipment

Cost of labor

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Material Flow 

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Fluid Flow Model of Product Flow 

Insights from Fluid Dynamics: fluid flows faster innarrower segments of pipe than wider segments

Implies on average, an item will move more slowly throughthe region with large inventory than it will through a region

 with little inventory.

Figure 2.1

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General Warehouse Guidelines from Fluid Model

Keep the product moving

 Avoid starts and stops which require extra handling andadditional space

 Avoid layouts that impeded smooth flow 

Identify and resolve bottlenecks to flow 

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 A product is generally handled in smaller units

as it moves down thesupply chain.

 A stock keeping unit, orsku, is the smallestphysical unit of productthat is tracked by the

organization.

Upstream in the SC, flow is in larger units, likepallets.

Product is successively 

 broken down intosmaller units as it movesdownstream.

Figure 2.2

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Popularity vs

 Volume (flow)

Popularity (number of times requested orpicks) is NOT highly correlated with physical

 volume (flow) of a sku.Makes warehousedesign difficult becauseit is hard to designprocessed that work  well with skus that me

 be any combination of popular/unpopular nadlow-volume/high- volume.

Figure 2.3

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The mostpopular 20%

of SKUs

This plot is the sameskus ranked from mostpopular to least.

This is a typical plot

that shows that a smallfraction of the skusaccount for most of theactivity. (80%/20%rule)

It is easy to designprocesses for popularskus because they arefairly predictable. Figure 2.4

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The remaining80% of the

SKUs

Conisder the skus in the“long-tail” of the curve,the 80% that arerequested infrequently.

Impossible to know  which of those skus will be requested tomorrow.

They occupy most of thespace of the warehouse.

Have high safety stock.

Figure 2.4

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“Two Warehouses” in One 

Essentially you have 2 warehouses:

The first “warehouse” Organized around a small set of predictably popular skus

Easy to plan for

Challenge is to manage flow efficiently 

Labor intensive

The second “warehouse”  Predictable in “aggregate” only  

Harder to plan for Space intensive

Challenge to hedge space and labor tradeoff 

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Dedicated Storage

Each location is reserved for an assigned product

Simple to implement

Store more popular items in more convenient

locations  Workers “learn” the layout making picking more

efficient

Does not use space efficiently – on average half full

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Inventory 

Level

Idealizedrepresentation of how inventory level at alocation changes over

time Average inventory levelover time 50%

Figure 2.5

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Shared Storage

 Assign a product to more than 1 location, when a locationis empty it is available for reassignment

More locations, less product in each location, so space isrecycled sooner

Better utilization of space than dedicated storage Need Warehouse Management System (WMS) to direct

 workers More time consuming to put away  Requires worker discipline to pick where directed not

 where most convenient May have more discrepancies between book and physical

inventory 

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Theorem 2.1

 When a sku is stored in k locations of equal size theaverage space utilization is k/(k + 1).

Moving from 1 location to 2 locations, improves

utilization from 50% to 66% Increasing the number of locations increases

utilization, but the improvement diminishes as k increases.

Increasing the number of locations also increases themanagement required.

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Storage In Practice

Typically the actual space utilization for sharedstorage is slightly less than the value from Theorem2.1

Shared storage is more often used for bulk storageareas (i.e. pallets)

Dedicated storage for the most active pick area, where the area is smaller and labor benefits matter

most.

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Illustration of Shared & Dedicated Storage

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Example of a Hybrid System

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 Warehouse as a Queuing System

 A queuing system is where customers arriveand join a queue to awaitservice by any of several

servers. After receivingservice, the customersdepart the system.

Fundamental result of 

queuing theory is Little’sLaw.

Theorem 2.2 (Little’s Law) For a queuing system insteady state that averagelength L of the queue

equals the average arrivalrate λ times the average

 waiting time W.

=  

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Little’s Law Example 

 Warehouse with 10,000pallets that turn an averageof about 4 times per year.

L = 10,000 W = ¼ year

10,000 pallets = 14 year  

≈ 40,000

 

 What labor rate isnecessary to support this?

 Assuming one 8-hour shiftper day and about 250

 working days per year,there are about 2,000

 working hours/year.

λ ≈,

2,

 ≈20 pallets/hour

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Super Club Music 

Super Club distributes recorded musicto retail stores. Such physicaldistribution of music is, of course, adying enterprise, as it is being replaced by distribution via the web.

Super Club stores are divided in toroutes and each route is visited by a

delivery truck once a week on a regularday.

Each day they pick for about 8 routes, which total about 100 stores.

On average each store orders about 50sku's and about 3 of each sku, for a

total of about 15,000 pieces per day. The warehouse knows these orders a

day in advance of picking and so canplan its work in advance.

Unique challenges  A very, very few sku's will be very, very 

popular and most sku's will scarcely sellat all. In fact, it is not unusual for 20percent of the sku's to sell one or fewercopies over a year.

Popularity is very fleeting; what is apopular product now may be dead in

two weeks.  A large number of returns in the music

 business

More information http://www.warehouse-science.com/?b6a9d0d0 

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Pallet rack  Static shelving withoverstock on top

Super Club Music

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Typical shelf 48 bays of flow rack 

Super Club Music

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Packing orders intocartons

Pick face of flow rack 

Super Club Music

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 Warehouse

Operations

Most of the expense in atypical warehouse isLABOR.

Most of the labor cost is

ORDER-PICKING.

Most of the time inorder-picking is inTRAVEL.

Receive• 10 % of operating cost

Put-away • 15% of operating cost

Store • Non-value added

Pick • 55% of operating cost

Pack, Ship• 20% of operating cost