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    Inventory Definition

    A stock of items held to meet future demand Inventory-A physical resource that a firm holds in

    stock with the intent of selling it or transforming itinto a more valuable state.

    Inventory System- A set of policies and controlsthat monitors levels of inventory and determineswhat levels should be maintained, when stockshould be refilled, and how large orders should be

    given to the purchased department.

    Question: Goods vs Services?

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    Def. - A physical resource that a firm holds in stock

    with the intent of selling it or transforming it into a

    more valuable state.Raw Materials

    Works-in-Process

    Finished Goods

    Maintenance, Repair and Operating

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    Opposing Views of InventoryWhy We Want to Hold Inventories

    Why We Not Want to Hold Inventories

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    Why We Want to Hold Inventories Improve customer service

    Reduce certain costs such as

    ordering costs stock out costs

    acquisition costs

    start-up quality costs

    Contribute to the efficient and effective operation ofthe production system

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    Why We Want to Hold Inventories

    Finished Goods Essential in produce-to-stock positioning strategies Necessary in level aggregate capacity plans Products can be displayed to customers

    Work-in-Process Necessary in process-focused production May reduce material-handling & production costs

    Raw Material Suppliers may produce/ship materials in batches Quantity discounts and freight/handling $$ savings

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    Why We Do Not Want to Hold

    Inventories Certain costs increase such as

    carrying costs

    cost of customer responsiveness

    cost of coordinating production

    cost of diluted return on investment

    reduced-capacity costs

    large-lot quality cost

    cost of production problems

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    Types of Inventory

    Inputs Raw Materials

    Purchased parts

    Maintenance and RepairMaterials

    Outputs Finished Goods

    Scrap and Waste

    Process

    In Process Partially CompletedProducts and

    Subassemblies

    (in warehouses, or in

    transit)

    (often on the factory

    floor)

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    Types of Inventory

    Work in

    process

    Work in

    process

    Work in

    process

    Finished

    goods

    Raw

    Materials

    Vendors Customer

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    Water Tank Analogy for Inventory

    Supply Rate

    Inventory Level

    Demand Rate

    Inventory Level

    Buffers Demand Rate

    from Supply Rate

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    Independent and Dependent Demand

    Inventory

    Independent demand items demanded by external customers (Kitchen Tables)

    Dependent demand

    items used to produce final products (table top, legs,hardware, paint, etc.)

    Demand determined once we know the type and numberof final products

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    Independent and Dependent Demand

    Inventory Management

    Independent demand Uncertain / forecasted

    Continuous Review / Periodic Review

    Dependent demand Requirements / planned

    Materials Requirements Planning / Just in Time

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    Reasons To Hold Inventory

    Meet variations in customer demand:Meet unexpected demandSmooth seasonal or cyclical demand

    Pricing related:Temporary price discounts

    Hedge against price increasesTake advantage of quantity discounts

    Process & supply surprisesInternal upsets in parts of or our own processesExternal delays in incoming goods

    Transit

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    Reasons To NOT Hold Inventory Carrying cost

    Financially calculable

    Takes up valuable factory space

    Especially for in-process inventory

    Inventory covers up problems That are best exposed and solved

    Driver for increasing inventory turns (finished goods) and leanproduction/Just in time for work in process

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    Inventory Hides Problems

    Poor

    Quality

    Unreliable

    Supplier

    Machine

    BreakdownInefficient

    Layout

    Bad

    Design

    Lengthy

    Setups

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    To Expose Problems:

    Reduce Inventory Levels

    PoorQuality

    Unreliable

    Supplier

    Machine

    BreakdownInefficient

    Layout

    Bad

    Design

    LengthySetups

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    Remove Sources of Problems and

    Repeat the Process

    PoorQuality

    Unreliable

    Supplier

    Machine

    BreakdownInefficient

    Layout

    Bad

    Design

    Lengthy

    Setups

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    Inventory Cost Structures

    Ordering (or setup) cost Carrying (or holding) cost:

    Cost of capital

    Cost of storage

    Cost of obsolescence, deterioration, and loss

    Stock out cost

    Item costs, shipping costs and other cost subject tovolume discounts

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    Typical Inventory Carrying Costs

    Housing cost:Building rent or depreciationBuilding operating costTaxes on buildingInsurance

    Material handling costs:

    Equipment, lease, or depreciationPowerEquipment operating cost

    Manpower cost from extra handling and supervision

    Investment costs:Borrowing costsTaxes on inventoryInsurance on inventory

    Pilferage, scrap, and obsolescence

    Overall carrying cost

    6%

    (3% - 10%)

    3%(1% - 4%)

    3%(3% - 5%)

    10%(6% - 24%)

    5%(2% - 10%)

    (15% - 50%)

    Costs as % ofInventory Value

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    Inventory Management Systems

    Functions of Inventory Management

    Track inventory

    How much to order

    When to order Prioritization

    Inventory Management Approach

    EOQ

    Continuous / Periodic

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    ABC Prioritization Based on Pareto concept (80/20 rule) and

    total usage in dollars of each item.

    Classification of items as A, B, or C oftenbased on $ volume.

    Purpose: set priorities for managementattention.

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    10 20 30 40 50 60 70 80 90 100

    Percentage of items

    P

    ercentage

    ofd

    ollarvalue

    100

    90

    80

    70

    60

    50

    40

    30

    20

    10

    0

    +Class C

    Class A

    +Class B

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    ABC Chart For Previous Slide

    0.0%

    5.0%

    10.0%

    15.0%

    20.0%

    25.0%

    30.0%

    35.0%

    40.0%

    45.0%

    3 6 9 2 4 1 10 8 5 7

    Item No.

    Percen

    tUsage

    0.0%

    20.0%

    40.0%

    60.0%

    80.0%

    100.0%

    120.0%

    Cumulativ

    e%Usage

    Percentage of Total Dollar Usage Cumulative Percentage

    A B C

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    Inventory Management ApproachesA-items

    Track carefully (e.g. continuous review)

    Sophisticated forecasting to assure correct levels

    C-items

    Track less frequently (e.g.periodic review) Accept risks of too much or too little (depending

    on the item)

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    VED Classification: The VED analysis is done todetermine the critically of an item and its effect on

    production and other services. It is specially used for

    classification of spare parts. If it is essential, then itis given E classification and if it is not so essential,

    the part is given D classification. For v items, a

    large stock of inventory is generally maintained,

    while forD items, minimum stock is enough.

    The different techniques of inventory control are:ABC - Always better control analysis.HML - High, Medium & Low analysis.VED - Vital, Essential & desirable analysis.SDE - Scare, difficult & easy to obtain analysis.FSN - Fast moving, slow moving & non moving analysis.EOQ - Economic order quantity analysis.

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    HML Classification: (High, Medium & Low analysis)

    The high, medium & low analysis is based on the unit value

    not on the consumption value. The inventory order should

    be/will be listed in descending order of unit value & it is up

    to the management to fix limits for three categories.

    SDE Analysis:

    This analysis is based upon the availability of items & this

    is useful in the context of scarcity of supply. This analysis

    refers on S forScarce items

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    Economic Order Quantity (EOQ)

    Model

    Demand rate D is constant, recurring, and known

    Amount in inventory is known at all times

    Ordering (setup) cost S per order is fixed

    Lead time L is constant and known.

    Unit cost C is constant (no quantity discounts)

    Annual carrying cost is i time the average $ value of theinventory

    No stockouts allowed.

    Material is ordered or produced in a lot or batch andthe lot is received all at once

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    EOQ Lot Size Choice

    There is a trade-off between lot size andinventory level.

    Frequent orders (small lot size): higher ordering

    cost and lower holding cost.Fewer orders (large lot size): lower ordering cost

    and higher holding cost.

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    EOQ Inventory Order CycleDemand

    rate

    0 TimeLead

    time

    Lead

    timeOrder

    Placed

    Order

    Placed

    Order

    Received

    Order

    Received

    I

    nventory

    L

    evel

    Reorder point, R

    Order qty, Q

    As Q increases, average

    inventory level increases, but

    number of orders placed

    decreases

    ave = Q/2

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    Total Cost of Inventory

    EOQ Model

    A t I t M t Q ti f

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    Answer to Inventory Management Questions for

    EOQ Model

    Keeping track of inventoryImplied that we track continuously

    How much to order?Solve for when the derivative of total cost with respect to Q

    = SD/Q2 + iC/2 = 0Q = sqrt ( 2SD/iC)

    When to order?Order when inventory falls to the Reorder Point-level R so

    we will just sell the last item as the new order comes in:R = DL

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    Re-order Point ExampleDemand = 10,000 quantity /year

    Lead time = L = 10 days

    When inventory falls to R, we order so as not to run outbefore the new order comes in.

    R = ?

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    Re-order Point ExampleDemand = 10,000 quantity /year

    Daily demand = 10,000 / 365 = 27.4 quantity /day

    Lead time = L = 10 days

    R = D*L = (27.4)(10) = 274 quantity

    (usually can neglect issues of working days vs

    weekends, etc.)

    Dont forget to convert to consistent time units!

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    EOQ SummaryHow much to order?

    Q = sqrt(2DS/iC)

    When to order?R = DL

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    EOQ Exercise Now you do it See Excel Spreadsheet: Excel_Inv_Examples.xls, EOQ

    tab

    Compute the values of R and Q and compare to thesimulation

    Next see what happens when you have volumediscounts (EOQ w Discount Tab)

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    EOQ ExampleUnit Cost C $0.45 /unitHolding cost factori 25% /year

    Ordering cost S $15.00 /order

    Demand rate D 10000 units/yearLead time L 0.0192 year

    Solutions:

    Re-order point R units (rounded)Q = sqrt(2SD/(iC)) units (rounded)