Class 16 - Inventory Management

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    Inventory

    InventoryManagement

    Industrial Engineering

    Inventory

    Models

    What is Inventory?

    The total amount of goods and/or materials contained in a store or factoryat any given time

    Types of Inventory

    Raw material Purchased but not processed

    Work-in-process Undergone some change but not completed A function of cycle time for a product

    Maintenance/repair/operating (MRO) Necessary to keep machinery and processes productive

    Finished goods Completed product awaiting shipment

    Examples

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    Inventory

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    The Functions of Inventory

    To decouple or separate various parts of the production processTo provide a stock of goods that will provide a selection for customersTo take advantage of quantity discountsTo hedge against inflation and upward price changes

    The Material Flow Cycle

    Examples

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    Inventory

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    The Material Flow Cycle

    Examples

    1 Run time: Job is at machine and being worked on

    2 Setup time: Job is at the work station, and the work station isbeing "setup."

    3 Queue time: Job is where it should be, but is not being

    processed because other work precedes it.

    4 Move time: The time a job spends in transit

    5 Wait time: When one process is finished, but the job iswaiting to be moved to the next work area.

    6 Other: "Just-in-case" inventory.

    Other WaitTime

    MoveTime

    Queue

    Time

    SetupTime

    RunTimeInput

    Cycle Time

    Output

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    Inventory Management

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    Inventory Management

    How inventory items can be classifiedHow accurate inventory records can be maintained

    Disadvantages of Inventory

    Higher costs

    Item cost (if purchased) Ordering (or setup) cost

    Costs of forms, clerks wages etc. Holding (or carrying) cost

    Building lease, insurance, taxes etc. Difficult to control Hides production problems

    Examples

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    Inventory Management

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    Inventory Management Methods

    ABC Analysis Record Accuracy

    Cycle Counting Control of Service Inventory

    Disadvantages of Inventory

    Higher costs Item cost (if purchased) Ordering (or setup) cost

    Costs of forms, clerks wages etc. Holding (or carrying) cost

    Building lease, insurance, taxes etc. Difficult to control Hides production problems

    Examples

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    Inventory Management

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    ABC Analysis

    Divides inventory into three classes based on annual dollar volume Class A - high annual dollar volume Class B - medium annual dollar volume Class C - low annual dollar volume

    Used to establish policies that focus on the few critical parts andnot the many trivial ones

    Examples

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    Inventory Management

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    Independent versus Dependent Demand

    Independent Demand - demand for item isindependent of demand for any other item

    Dependent Demand - demand for item is dependentupon the demand for some other item

    Inventory Costs

    Holding Costs - associated with holding or carryinginventory over time

    Ordering Costs - associated with costs of placingorder and receiving goods

    Setup Costs - cost to prepare a machine or processfor manufacturing an order

    Examples

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    Inventory Management

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    Holding Costs

    Obsolescence InsuranceExtra staffing InterestPilferage DamageWarehousing

    Ordering Costs

    Supplies FormsOrder processing Clerical support

    Setup Costs

    Clean-up costs Re-tooling costsAdjustment costs

    Examples

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    Inventory Models

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    Inventory Models

    Fixed order-quantity models Economic Order Quantity (EOQ) Production Order Quantity (PEQ) Quantity Discount

    Probabilistic models Fixed order-period models

    EOQ Assumptions

    Known and constant demand Known and constant lead time Instantaneous receipt of material No quantity discounts Only order (setup) cost and holding cost No stockouts

    Examples

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    Inventory Models

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    Inventory Usage Over Time

    Examples

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    Inventory Models

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    Objective is to minimize total costs

    Examples

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    Inventory Models

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    Basic Fixed-Order Quantity (EOQ) Model Formula

    Examples

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    Inventory Models

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    POQ Model Equations

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    Example

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    Given the information below, what are the EOQ and reorderpoint?

    Annual Demand = 1,000 units

    Days per year considered in average daily demand = 365

    Cost to place an order = SR 10

    Holding cost per unit per year = SR 2.50

    Lead time = 7 days Cost per unit = SR 15

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    Example

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    unitsunits or.=.

    ))(,(

    =H

    DS

    =QOPT 9044389502

    10000122

    units/day.=days/year

    runits/yea,=d 742

    365

    0001

    units20or19.18=(7days)day2.74units/

    =Ld=Rpoint,Reorder_

    In summary, you place an optimal order of 90 units. In the

    course of using the units to meet demand, when you only have20 units left, place the next order of 90 units.

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    Example

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    A showroom dealer whishes to determine the order size for itsbest selling model XYZ. The manger estimated the annual

    demand for the model as 1000 units. His past record showseach order cost SR 250 to place an order. And. if one unitmodel carried for whole year, it cost SR1000. Assuming thedemand uniform and constant. Similarly assuming orderingcost and carrying cost constant, How many models managershould order to avoid no stock out situation.

    If lead time is 5 days (assumed to be constant) at what level ofinventory on hand he should order the models.

    d(TC) 0

    dQ

    2DSQ

    H

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    Example

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    So, Q is approximately equal to 23

    Reorder level = Average daily demand x Lead time

    R = (1000/365) x 5 = 13 units

    i.e. when inventory level drop to 13 the manager should orderfor 23 models

    This case is of Fixed order quantity without safety stock