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Transcript of KR-Ch12E.ppt
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InventoryManagement
Chapter 12
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How Inventory Managementfits the Operations Management
Philosophy
Operations As a CompetitiveWeapon
Operations StrategyProject Management Process StrategyProcess Analysis
Process Performance and QualityConstraint Management
Process LayoutLean Systems
Supply Chain StrategyLocation
Inventory ManagementForecasting
Sales and Operations PlanningResource Planning
Scheduling
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Inventory at WAL-MART
Making sure the shelves are stocked with tens of thousands ofitems at their 5,379 stores in 10 countries is no small matter forinventory managers at Wal-Mart.
Knowing what is in stock, in what quantity, and where it is
being held, is critical to effective inventory management. With inventories in excess of $29 billion, Wal-Mart is aware of
the benefits from improved inventory management.
They know that effective inventory management must includethe entire supply chain.
The firm is implementing radio frequency identification (RFID)technology in its supply chain.
When passed within 15 of a reader, the chip activates, and its
unique product identifier code is transmitted to an inventorycontrol system.
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Inventory Management
Inventory management is the planning andcontrolling of inventories in order to meet thecompetitive priorities of the organization.
Effective inventory management is essential for realizingthe full potential of any value chain.
Inventory management requires information aboutexpected demands, amounts on hand and amounts
on order for every item stocked at all locations.
The appropriate timing and size of the reorder quantitiesmust also be determined.
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Inventory Basics
Inventory is created when the receipt ofmaterials, parts, or finished goods exceedstheir disbursement.
Inventory is depleted when theirdisbursement exceeds their receipt.
An inventory managers job is to balance the
advantages and disadvantages of both lowand high inventories.
Both have associated cost characteristics.
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Pressures forLowInventories
Inventory holding cost is the sum of the cost ofcapital and the variable costs of keeping items onhand, such as storage and handling, taxes,insurance, and shrinkage. Cost of Capital is the opportunity cost of investing in an
asset relative to the expected return on assets of similarrisk.
Storage and Handling arise from moving in and out of astorage facility plus the rental cost and/or opportunity cost
of that space. Taxes, Insurance, and Shrinkage: More taxes are paid and
insurance costs are higher if end-of-the-year inventoriesare high. Shrinkage comes from theft, obsolescence anddeterioration.
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Customer Service:Reduces the potential forstockouts and backorders.
Ordering Cost: The cost of preparing a purchase
order for a supplier or a production order for the shop. Setup Cost: The cost involved in changing over a
machine to produce a different item.
Labor and Equipment: Creating more inventory can
increase workforce productivity and facility utilization. TransportationCosts: Costs can be reduced.
Quantity Discount: A drop in the price per unit whenan order is sufficiently large.
Pressures forHighInventories
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Types of Inventory
Cycle Inventory: The portion of totalinventory that varies directly with lot size (Q).
Average cycle inventory =
Lot Sizing: The determination of how frequentlyand in what quantity to order inventory.
Safety Stock Inventory: Surplus inventory
that a company holds to protect againstuncertainties in demand, lead time andsupply changes.
Q
2
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Anticipation Inventory is used to absorbuneven rates of demand or supply, which
businesses often face.
Pipeline Inventory: Inventory moving frompoint to point in the materials flow system.
Types of Inventory
Pipeline inventory = DL = dLDLis the average demand for theitem per period (d) times the number
of periods in the items lead time (L).
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Placement of Inventories
The positioning of a firms inventories supports itscompetitive priorities.
Inventories can be held at the raw materials, work-in-process, and finished goods levels.
Managers make inventory placement decisions bydesignating an item as either a specialor astandard.
Special: An item made to order. If purchased, it isbought to order.
Standard: An item that is made to stock or orderedto stock, and normally is available upon request.
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Thousands of items are held in inventory bya typical organization, but only a small % of
them deserves managements closestattention and tightest control.
ABC analysis:
Purpose
Classification
Process
Identifying CriticalInventory Items
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ABC Analysis
10 20 30 40 50 60 70 80 90 100
Percentage of items
Percentageofdollarvalue
100
90
80
70
60
50
40
30
20
10
0
Class C
Class A
Class B
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Inventory depletion(demand rate)
Receiveorder
1 cycle
On-h
andinventory(units)
Time
Q
Averagecycleinventory
Q2
Cycle-Inventory Levels
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Annualcost(dol
lars)
Lot Size (Q)
Total AnnualCycle-Inventory Costs
Holding cost = (H)Q2
Ordering cost = (S)DQ
Total cost = (H) + (S)DQQ2
Q = lot size; C = total annual cycle-inventory costH = holding cost per unit; D = annual demandS = ordering or setup costs per lot
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Costing out a Lot Sizing PolicyExample 12.2
Bird feeder sales are 18 units per week, and thesupplier charges $60 per unit. The cost of placing an
order (S) with the supplier is $45.Annual holding cost (H) is 25%of a feeders value,
based on operations 52 weeks per year.
Management chose a 390-unit lot size (Q) so that
new orders could be placed less frequently. What is the annual cycle-inventory cost (C) of the
current policy of using a 390-unit lot size?
Museum of Natural History Gift Shop:
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Costing out a Lot Sizing PolicyExample 12.2
What is the annual cycle-inventory cost (C) of thecurrent policy of using a 390-unit lot size?
D = (18 /week)(52 weeks) = 936 units H= 0.25 ($60/unit) = $15
C= $2925 + $108 = $3033
C= (H) + (S) = (15) + (45)
Q
2
D
Q
936
390
390
2
Museum of Natural History Gift Shop:
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Computing the EOQExample 12.3
C = (H) + (S)Q2
DQ
EOQ =2DS
H
D = annual demandS = ordering or setup costs per lot
H= holding costs per unit
D = 936 unitsH= $15S = $45
EOQ =2(936)45
15= 74.94 or 75 units
C = (15) + (45)752
93675
C = $1,124.10
Bird Feeders:
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Time Between Orders
Time between orders (TBO) is the averageelapsed time between receiving (or placing)replenishment orders ofQ units for a particular lotsize.
Example 12.3continued:
For the birdfeeder example, using an EOQ of 75units.
TBOEOQ = EOQD
TBOEOQ
= = 75/936 = 0.080 yearEOQ
DTBOEOQ = (75/936)(12) = 0.96 months
TBOEOQ = (75/936)(52) = 4.17 weeks
TBOEOQ = (75/936)(365) = 29.25 days
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Understanding theEffect of Changes
A Change in the Demand Rate (D): When demandrises, the lot size also rises, but more slowly thanactual demand.
A Change in the Setup Costs (S): Increasing S
increases the EOQ and, consequently, the averagecycle inventory.
A Change in the Holding Costs (H): EOQ declineswhen Hincreases.
Errors in Estimating D, H, and S: Total cost isfairly insensitive to errors, even when the estimatesare wrong by a large margin. The reasons are thaterrors tend to cancel each other out and that thesquare root reduces the effect of the error.
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InventoryControl Systems
Inventory control systems tell us how much to orderand when to place the order. Independent demand items: Items for which demand is
influenced by market conditions and is not related to the
inventory decisions for any other item held in stock.
Continuous review (Q) systems (Reorder pointsystems ROP) are designed to track the remaininginventory of an item each time a withdrawal is made
to determine whether it is time to reorder. Periodic review (P) systems (Fixed Interval
Reorder systems) in which an items inventory
position is reviewed periodically rather than
continuously.
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Inventory position (IP) is the measurementof an items ability to satisfy future demand.
IP = OH + SR BO
Scheduled receipts (SR) orOpen ordersare orders that have been placed but havenot yet been received.
Reorder point (R) is the predeterminedminimum level that an inventory positionmust reach before a fixed order quantity Qof the item is ordered.
InventoryControl Systems
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Continuous ReviewQ systems when demand & lead time are constant and certain.
Time
On-handinve
ntory
R
TBO
L
TBO
L
TBO
L
Orderreceived
Orderreceived
Q
OH
Orderplaced
IP
Orderreceived
Q
OH
Orderplaced
IP
Orderreceived
Orderplaced
IP
Q
OH
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Determining Whetherto Place an Order
Demand for chicken soup is always 25 cases a dayand lead time is always 4 days. Chicken soup was justrestocked, leaving an on-hand inventory of10 cases.
No backorders currently exist. There is an open orderfor200 cases. What is the inventory position?Should a new order be placed?
R = Average demand during lead time= (25)(4) = 100 cases
IP = OH + SR BO= 10 + 200 0 = 210 cases
IP = Inventory PositionOH = On-hand InventorySR = Scheduled receiptsBO = Back ordered
Since IP exceeds R(210 > 100), do not reorder. An SR is pending.
Example 12.4
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Time
On-handinve
ntory
TBO1 TBO2 TBO3
L1 L2 L3
R
Orderreceived
Q
Orderplaced
Orderplaced
Orderreceived
IP IP
Q
Orderplaced
Q
Orderreceived
Orderreceived
OH
Continuous ReviewQ system when demand is uncertain.
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Choosing an AppropriateService-Level Policy
Service level (Cycle-service level): The desiredprobability of not running out of stock in any oneordering cycle, which begins at the time an order isplaced and ends when it arrives.
Protection interval: The period over which safetystock must protect the user from running out.
Safety stock =zsLz= The number of standard deviations needed for a
given cycle-service level.
sL=The standard deviation of demand during the leadtime probability distribution.
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Finding Safety StockWith a normal Probability Distribution
for an 85% Cycle-Service Level
Averagedemand
duringlead time
Averagedemand
duringlead time
Cycle-service level = 85%
Probability of stockout(1.0 0.85 = 0.15)
zsL
R
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Finding Safety Stock and RExample 12.5
Records show that the demand for dishwasherdetergent during the lead time is normally distributed,with an average of250 boxes and sL = 22. Whatsafety stock should be carried for a 99 percent cycle-
service level?What is R?
Safety stock = zsL= 2.33(22) = 51.3= 51 boxes
Reorder point = DL + SS= 250 + 51= 301 boxes
2.33 is the number of standarddeviations, z, to the right of
average demand during thelead time that places 99% ofthe area under the curve to theleft of that point.
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Development of DemandDistributions for the Lead Time
st = 15
+75
Demand for week 1
st = 26
225Demand for 3-week lead time
+75
Demand for week 2
st = 15
=75
Demand for week 3
st = 15
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Finding Safety Stock and RExample 12.6
sL =st L = 5 2 = 7.1
Safety stock = zsL
= 1.28(7.1) = 9.1 or9 units
Reorder point = dL + safety stock = 2(18) + 9 = 45 units
Suppose that the average demand for bird feeders is 18 units perweek with a standard deviation of 5 units. The lead time isconstant at 2 weeks. Determine the safety stock and reorder pointfor a 90 percent cycle-service level. What is the total cost of the Qsystem? (t= 1 week; d= 18 units per week; L = 2 weeks)
C = ($15) + ($45) + 9($15)75
2
936
75
C = $562.50 + $561.60 + $135 = $1259.10
Demand distribution for lead time must be developed:
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Periodic Review (P) System
Periodic review (P) system: A system inwhich an items inventory position is reviewed
periodically rather than continuously.
Sometimes called a fixed interval reorder systemor aperiodic reorder system.
A new order is always placed at the end of eachreview, and the time between orders is fixed at P.
Demand is a variable, so total demand betweenreviews varies.
The lot size, Q, may change from one order to thenext.
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Periodic Review(P)System
P PTime
On-handinv
entory
T
Q1
Orderplaced
L
Orderplaced
Orderreceived
Orderreceived
Orderplaced
Q2
Q3
Orderreceived
OH
L L
Protection interval
IP1
IP3
IP2
IP IPIP
OH
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Comparison ofQ and P Systems
P Systems
Convenient to administer Orders for multiple items from the same supplier
may be combined Inventory Position (IP) only required at review
Systems in which inventory records are alwayscurrent are calledPerpetual Inventory Systems
Review frequencies can be tailored to each item Possible quantity discounts Lower, less-expensive safety stocks
Q Systems
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Visual Systems
Visual system: A system that allowsemployees to place orders when inventoryvisibly reaches a certain marker.
Two-bin system: A visual system version ofthe Qsystem in which an items inventory isstored at two different locations.
Single-bin system: The concept of a P
system can be translated into a simplevisual system. A maximum level is markedon the bin and inventory is brought up to themark periodically.
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Hybrid Systems
Optional replenishment system: A system used to
review the inventory position at fixed time intervals
and, if the position has dropped to (or below) a
predetermined level, to place a variable-sized orderto cover expected needs.
Base-stock system: An inventory control system
that issues a replenishment order, Q, each time a
withdrawal is made, for the same amount as thewithdrawal.
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Approaches forInventory Record Accuracy
Assign responsibility for reporting inventory transactions to
specific employees.
Secure inventory in locked storage areas.
Cycle counting, an inventory control method, whereby
storeroom personnel physically count a small percentage of the
total number of items each day, correcting errors that they find,
is used to frequently check records against physical inventory.
Logic error checks on each transaction; reporting and fully
investigating discrepancies. If inventory records prove to be accurate over several years
time, the annual physical count can be avoided. It is disruptive,
adds no value to the products, and often introduces as many
errors as it removes.