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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.