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11-1 Inventory Management CHAPTER 11 Inventory Management

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Page 1: Chap011 Inventory Management

11-1 Inventory Management

CHAPTER11

Inventory Management

Page 2: Chap011 Inventory Management

11-2 Inventory Management

Supply

Sources:plantsvendorsports

RegionalWarehouses:stocking points

Field Warehouses:stockingpoints

Customers,demandcenterssinks

Production/purchase costs

Inventory &warehousing costs

Transportation costs Inventory &

warehousing costs

Transportation costs

Page 3: Chap011 Inventory Management

11-3 Inventory Management

InventoryInventory

Where do we hold inventory?– Suppliers and manufacturers– warehouses and distribution centers– retailers

Types of Inventory– WIP– raw materials– finished goods

Why do we hold inventory?– Economies of scale– Uncertainty in supply and demand– Lead Time, Capacity limitations

Page 4: Chap011 Inventory Management

11-4 Inventory ManagementGoals: Goals:

Reduce Cost, Improve ServiceReduce Cost, Improve Service

By effectively managing inventory:– Xerox eliminated $700 million inventory from

its supply chain– Wal-Mart became the largest retail company

utilizing efficient inventory management– GM has reduced parts inventory and

transportation costs by 26% annually

Page 5: Chap011 Inventory Management

11-5 Inventory ManagementGoals: Goals:

Reduce Cost, Improve ServiceReduce Cost, Improve Service

By not managing inventory successfully– In 1994, “IBM continues to struggle with shortages in

their ThinkPad line” (WSJ, Oct 7, 1994)– In 1993, “Liz Claiborne said its unexpected earning

decline is the consequence of higher than anticipated excess inventory” (WSJ, July 15, 1993)

– In 1993, “Dell Computers predicts a loss; Stock plunges. Dell acknowledged that the company was sharply off in its forecast of demand, resulting in inventory write downs” (WSJ, August 1993)

Page 6: Chap011 Inventory Management

11-6 Inventory Management

Independent Demand

A

B(4) C(2)

D(2) E(1) D(3) F(2)

Dependent Demand

Independent demand is uncertain. Dependent demand is certain.

Inventory: a stock or store of goods

Page 7: Chap011 Inventory Management

11-7 Inventory Management

Types of InventoriesTypes of Inventories

Raw materials & purchased parts Partially completed goods called

work in progress Finished-goods inventories

(manufacturing firms) or merchandise (retail stores)

Page 8: Chap011 Inventory Management

11-8 Inventory Management

Types of Inventories (Cont’d)Types of Inventories (Cont’d)

Replacement parts, tools, & supplies

Goods-in-transit to warehouses or customers

Page 9: Chap011 Inventory Management

11-9 Inventory Management

Functions of InventoryFunctions of Inventory

To meet anticipated demand

To smooth production requirements

To decouple operations

To protect against stock-outs

Page 10: Chap011 Inventory Management

11-10 Inventory Management

Functions of Inventory (Cont’d)Functions of Inventory (Cont’d)

To take advantage of order cycles

To help hedge against price increases

To permit operations

To take advantage of quantity discounts

Page 11: Chap011 Inventory Management

11-11 Inventory Management

Objective of Inventory ControlObjective of Inventory Control

To achieve satisfactory levels of customer service while keeping inventory costs within reasonable bounds

Level of customer service

Costs of ordering and carrying inventory

Page 12: Chap011 Inventory Management

11-12 Inventory Management

A system to keep track of inventory

A reliable forecast of demand

Knowledge of lead times

Reasonable estimates of Holding costs

Ordering costs

Shortage costs

A classification system

Effective Inventory ManagementEffective Inventory Management

Page 13: Chap011 Inventory Management

11-13 Inventory Management

Inventory Counting SystemsInventory Counting Systems

Periodic SystemPhysical count of items made at periodic intervals

Perpetual Inventory System System that keeps track of removals from inventory continuously, thus monitoringcurrent levels of each item

Page 14: Chap011 Inventory Management

11-14 Inventory Management

Inventory Counting Systems (Cont’d)Inventory Counting Systems (Cont’d)

Two-Bin System - Two containers of inventory; reorder when the first is empty

Universal Bar Code - Bar code printed on a label that hasinformation about the item to which it is attached

0

214800 232087768

Page 15: Chap011 Inventory Management

11-15 Inventory Management

Lead time: time interval between ordering and receiving the order

Holding (carrying) costs: cost to carry an item in inventory for a length of time, usually a year

Ordering costs: costs of ordering and receiving inventory

Shortage costs: costs when demand exceeds supply

Key Inventory TermsKey Inventory Terms

Page 16: Chap011 Inventory Management

11-16 Inventory Management

ABC Classification SystemABC Classification System

Classifying inventory according to some measure of importance and allocating control efforts accordingly.

AA - very important

BB - mod. important

CC - least important

Figure 11.1

Annual $ value of items

AA

BB

CC

High

Low

Few ManyNumber of Items

Page 17: Chap011 Inventory Management

11-17 Inventory Management

Cycle CountingCycle Counting

A physical count of items in inventory

Cycle counting management

How much accuracy is needed?

When should cycle counting be performed?

Who should do it?

Page 18: Chap011 Inventory Management

11-18 Inventory Management

Economic order quantity model

Economic production model

Quantity discount model

Economic Order Quantity ModelsEconomic Order Quantity Models

Page 19: Chap011 Inventory Management

11-19 Inventory Management

Only one product is involved

Annual demand requirements known

Demand is even throughout the year

Lead time does not vary

Each order is received in a single delivery

There are no quantity discounts

Assumptions of EOQ ModelAssumptions of EOQ Model

Page 20: Chap011 Inventory Management

11-20 Inventory Management

The Inventory CycleThe Inventory CycleFigure 11.2

Profile of Inventory Level Over Time

Quantityon hand

Q

Receive order

Placeorder

Receive order

Placeorder

Receive order

Lead time

Reorderpoint

Usage rate

Time

Page 21: Chap011 Inventory Management

11-21 Inventory Management

Total CostTotal Cost

Annualcarryingcost

Annualorderingcost

Total cost = +

Q2H D

QSTC = +

Page 22: Chap011 Inventory Management

11-22 Inventory Management

Cost Minimization GoalCost Minimization Goal

Order Quantity (Q)

The Total-Cost Curve is U-Shaped

Ordering Costs

QO

An

nu

al C

os

t

(optimal order quantity)

TCQ

HD

QS

2

Figure 11.4C

Page 23: Chap011 Inventory Management

11-23 Inventory Management

Deriving the EOQDeriving the EOQ

Using calculus, we take the derivative of the total cost function and set the derivative (slope) equal to zero and solve for Q.

Q = 2DS

H =

2(Annual Demand)(Order or Setup Cost)

Annual Holding CostOPT

Page 24: Chap011 Inventory Management

11-24 Inventory Management

Minimum Total CostMinimum Total Cost

The total cost curve reaches its minimum where the carrying and ordering costs are equal.

Q = 2DS

H =

2(Annual Demand)(Order or Setup Cost)

Annual Holding CostOPT

Page 25: Chap011 Inventory Management

11-25 Inventory Management

Production done in batches or lots Capacity to produce a part exceeds the part’s

usage or demand rate Assumptions of EPQ are similar to EOQ

except orders are received incrementally during production

Economic Production Quantity (EPQ)Economic Production Quantity (EPQ)

Page 26: Chap011 Inventory Management

11-26 Inventory Management

Only one item is involved Annual demand is known Usage rate is constant Usage occurs continually Production rate is constant Lead time does not vary No quantity discounts

Economic Production Quantity AssumptionsEconomic Production Quantity Assumptions

Page 27: Chap011 Inventory Management

11-27 Inventory Management

Economic Run SizeEconomic Run Size

QDS

H

p

p u0

2

Page 28: Chap011 Inventory Management

11-28 Inventory Management

Total Costs with Purchasing CostTotal Costs with Purchasing Cost

Annualcarryingcost

PurchasingcostTC = +

Q2H D

QSTC = +

+Annualorderingcost

PD +

Page 29: Chap011 Inventory Management

11-29 Inventory Management

Total Costs with PDTotal Costs with PD

Co

st

EOQ

TC with PD

TC without PD

PD

0 Quantity

Adding Purchasing costdoesn’t change EOQ

Figure 11.7

Page 30: Chap011 Inventory Management

11-30 Inventory ManagementTotal Cost with Constant Carrying Total Cost with Constant Carrying Costs Costs

OC

EOQ Quantity

To

tal C

os

t

TCa

TCc

TCbDecreasing Price

CC a,b,c

Figure 11.9

Page 31: Chap011 Inventory Management

11-31 Inventory Management

When to Reorder with EOQ OrderingWhen to Reorder with EOQ Ordering

Reorder Point - When the quantity on hand of an item drops to this amount, the item is reordered

Safety Stock - Stock that is held in excess of expected demand due to variable demand rate and/or lead time.

Service Level - Probability that demand will not exceed supply during lead time.

Page 32: Chap011 Inventory Management

11-32 Inventory Management

Determinants of the Reorder PointDeterminants of the Reorder Point

The rate of demand The lead time Demand and/or lead time variability Stockout risk (safety stock)

Page 33: Chap011 Inventory Management

11-33 Inventory Management

Safety StockSafety Stock

LT Time

Expected demandduring lead time

Maximum probable demandduring lead time

ROP

Qu

an

tity

Safety stock

Figure 11.12

Safety stock reduces risk ofstockout during lead time

Page 34: Chap011 Inventory Management

11-34 Inventory Management

Reorder PointReorder Point

ROP

Risk ofa stockout

Service level

Probability ofno stockout

Expecteddemand Safety

stock0 z

Quantity

z-scale

Figure 11.13

The ROP based on a normalDistribution of lead time demand

Page 35: Chap011 Inventory Management

11-35 Inventory Management

Orders are placed at fixed time intervals Order quantity for next interval? Suppliers might encourage fixed intervals May require only periodic checks of

inventory levels Risk of stockout

Fixed-Order-Interval ModelFixed-Order-Interval Model

Page 36: Chap011 Inventory Management

11-36 Inventory Management

Tight control of inventory items Items from same supplier may yield savings

in: Ordering Packing Shipping costs

May be practical when inventories cannot be closely monitored

Fixed-Interval BenefitsFixed-Interval Benefits

Page 37: Chap011 Inventory Management

11-37 Inventory Management

Requires a larger safety stock Increases carrying cost Costs of periodic reviews

Fixed-Interval DisadvantagesFixed-Interval Disadvantages

Page 38: Chap011 Inventory Management

11-38 Inventory Management

Single period model: model for ordering of perishables and other items with limited useful lives

Shortage cost: generally the unrealized profits per unit

Excess cost: difference between purchase cost and salvage value of items left over at the end of a period

Single Period ModelSingle Period Model

Page 39: Chap011 Inventory Management

11-39 Inventory Management

Continuous stocking levels

Identifies optimal stocking levels

Optimal stocking level balances unit shortage and excess cost

Discrete stocking levels

Service levels are discrete rather than continuous

Desired service level is equaled or exceeded

Single Period ModelSingle Period Model

Page 40: Chap011 Inventory Management

11-40 Inventory Management

Too much inventory Tends to hide problems Easier to live with problems than to eliminate

them Costly to maintain

Wise strategy Reduce lot sizes Reduce safety stock

Operations StrategyOperations Strategy

Page 41: Chap011 Inventory Management

11-41 Inventory Management

Gortrac ManufacturingGortrac Manufacturing

GTS3

Inventory/Assessment/Reduction

Page 42: Chap011 Inventory Management

11-42 Inventory Management

MaterialsMaterials

PS7

Washburn Guitars