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Page 1: 1. Advances in Supply Chain Management Chapter 2a: Advancements in Inventory Management 2

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Page 2: 1. Advances in Supply Chain Management Chapter 2a: Advancements in Inventory Management 2

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Advances in Supply Chain Management

Chapter 2a: Advancements in Inventory Management

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Lec 5 : Learning Objectives Distinguish dependent from independent demand inventories Describe the four basic types of inventories & their functions Understand the costs of inventory & inventory turnovers Understand ABC classification, ABC inventory matrix & cycle

counting Know RFID & how it can be used in inventory management Understand the EOQ model & its underlying assumptions Understand the Quantity Discounts & the EMQ Models & their

relationships with the basic EOQ model Understand & able to distinguish among the various statistical ROP

models Describe the continuous review & periodic review systems

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SUMMARY of Last Lecture key performance measures are presented in detail in order to understand

the excellence a supply chain achieves. The focus was on the importance of the integration of partners for the overall performance of the supply chain. For the optimization of inventory, the main principle of inventory management has to be considered: The objective is to balance the costs arising from holding inventories and the benefits of it. Furthermore, this trade-off has to be handled for each separate component. In the coming lectures, we will show how APS can support this critical task of inventory management.

The focus of the present lecture is to present different concepts and models, evolved over the period of time, that can be used inventory management.

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LAYOUT Introduction Dependent and Independent Demand of inventory Concepts and Tools of Inventory Management ABC Inventory Analysis System RFID Inventory Models The continuous and periodic review system

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Introduction (inventory management)

Inventory can be one of the most expensive assets of an organization Inventory may account for more than 10% of total revenue or 20% of total

assets Management must reduce inventory levels yet avoid stock outs and other

problems

Matching Demand and Supply Suppliers must accurately forecast demand so they can produce & deliver

the right quantities at the right time at the right cost

Suppliers must find ways to better match supply & demand to achieve optimal levels of cost, quality, & customer service to enable them to compete with other supply chains

Problems that affect product & delivery will have ramifications throughout the chain

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Dependent and Independent Demand

Inventory management models – Generally classified as dependent demand and independent demand models

Dependent Demand – Describes the internal demand for parts based on the demand of

the final product in which the parts are used. Subassemblies, components, & raw materials are examples of dependent demand items.

Independent Demand – The demand for final products & has a demand pattern

affected by trends, seasonal patterns, & general market conditions. Demand for tooth paste, plasma TV, cars are example of independent demand.

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Concepts and Tools of Inventory Management Functions and Basic Types of Inventory

The primary functions of inventory are to – Buffer from uncertainty in the marketplace & Decouple dependencies in the supply chain (e.g., safety stock)

Four broad categories of inventories (already discussed in detail in the last lecture)

Raw materials- unprocessed purchase inputs. Work-in-process (WIP)- partially processed materials not yet

ready for sales. Finished goods- products ready for shipment. Maintenance, repair & operating (MRO)- materials used in

production (e.g., cleaners & brooms).

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Cont’d….

Inventory Costs – The cost of holding goods in stock. Expressed usually as a percentage of the inventory value, it includes capital, warehousing, depreciation, insurance, taxation, obsolescence and shrinkage costs.

In other words, Total Inventory Cost is the sum of the carrying cost and the ordering cost of inventory

Total Inventory Cost Formula

TIC = C (Q/2) + F (D/Q) Where,

C=Carrying cost per unit per year Q=Quantity of each order F=Fixed cost per order D=Demand in units per year

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Direct costs- directly traceable to unit produced (e.g., labor)

When determining and accounting for direct and indirect labor costs, it is best to begin with the direct labor costs. Direct labor costs are those costs accumulated as a result of workers producing the product. Because this cost is a single cost, it is easier to determine than indirect labor costs. Various factors can go into direct labor costs, but for the most part direct labor can be determined by multiplying the number of units produced by the number of hours required to produce the product. The resulting figure then is multiplied by the cost of labor per hour to determine the direct labor cost for that product. If multiple products are produced, the cost is determined for each product and then added together.

Indirect costs- cannot be traced directly to the unit produced (e.g., overhead)

The indirect costs associated with the manufacturing process are any costs not directly attributable to the cost of labor. Therefore, the simplest way to

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determine the total of a company's indirect costs is to use accounting records to determine the overall expenditures and subtract the direct labor costs from the total cost. Since many expenses are included in these indirect costs, it may difficult to have an accurate and up-to-date figure. Companies often will use estimates based on the previous year's expenditures to determine these costs.

All the costs faced by companies can be broken into two main categories: fixed costs and variable costs.

Fixed costs- Fixed costs are costs that are independent of output. These remain constant throughout the relevant range and are usually considered sunk for the relevant range (not relevant to output decisions). Fixed costs often include rent, buildings, machinery, etc.

Variable costs- Variable costs are costs that vary with output. Generally variable costs increase at a constant rate relative to labor and capital. Variable costs may include wages, utilities, materials used in production, etc.

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Order costs- direct variable costs for making an order. In mfg, setup costs are related to machine setups - Ordering costs are costs of ordering a new batch of raw materials. These include cost of placing a purchase order, costs of inspection of received batches, documentation costs, etc.

Ordering costs vary inversely with carrying costs. It means that the more orders a business places with its suppliers, the higher will be the ordering costs. However, more orders mean smaller average inventory levels and hence lower carrying costs. It is important for a business to minimize the sum of these costs which it does by applying the economic order quantity model.

Holding or carrying costs- incurred for holding inventory in storage- The associated price of storing inventory or assets that remain unsold. Holding costs are a major component of supply chain management, since businesses must determine how much of a product to keep in stock.

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Holding costs include an opportunity cost because money that’s tied up in inventory can’t benefit the company in another way, such as an investment in new product development. In addition, maintaining inventory levels greater than required to support a particular level of customer service leads to unnecessary holding costs. To lower holding costs, you can limit the volume of inventory you store in a warehouse and limit the time the inventory stays there. This is especially important if you use refrigerated warehouse space, a relatively expensive type of storage. You can also control holding costs by improving warehouse space use -- selecting the right warehouse design, for example, or using proper storage methods.

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Cont’d….Inventory Investment

Firms should diligently measure inventory investment to ensure that it does not adversely affect competitiveness. Measures include:

Absolute value of inventory (found on balance sheet)

Inventory turnover or turnover ratio- how many times inventory “turns” in an accounting period. More is better because its faster!

Inventory Turnover Ratio =Cost of RevenueAverage Inventory

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ABC Inventory Control System

ABC Inventory Control System

Determines which inventories should be counted & managed more closely than others

Groups inventory as A, B, & C Items A items are given the highest priority with larger safety stocks. A

items, which account for approximately 20% of the total items, are about 80% of the total inventory cost

B & C items account for the other 80% of total items & only 20% of costs. The B items require closer management since they are relatively more expensive (per unit), require more effort to purchase/make, & may be more prone to obsolescence

C items have the lowest value and hence lowest priority

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Inventory Models

The Economic Order Quantity (EOQ) Model – A quantitative decision model based on the trade-off between annual inventory holding costs & annual order costs

The EOQ model seeks to determine an optimal order quantity, where the sum of the annual order cost & the annual inventory holding cost is minimized.

Order Cost is the direct variable cost associated with placing an order.

Holding Cost or carrying cost is the cost incurred for holding inventory in storage.

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Assumptions of the EOQ Model

Demand must be known & constant. Delivery time is known & constant. Replenishment is instantaneous. Price is constant. Holding cost is known & constant. Ordering cost is known & constant. Stock-outs are not allowed.

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EOQ Model

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Ilustration Inventory on hand & relationships to – EOQ, average inventory,

lead time, reorder point, & order cycle

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EOQ for constant Demand & Lead Time

Time

On

-han

d i

nve

nto

ry

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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Impact of lead time and uncertainty in demand

Lead time has NO impact if the demand is deterministic and at a constant rate.

Uncertainty in the demand creates the need for safety stock

Lead time under uncertain demand requires even a larger safety stock!

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Time

On

-han

d i

nve

nto

ry

TBO1 TBO2 TBO3

L L L

R

Orderreceived

Q

Orderplaced

Orderplaced

Orderreceived

IPIP

Q

Orderplaced

Q

Orderreceived

Orderreceived

OH

EOQ for Uncertain Demand and Constant Lead Time

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The Statistical Reorder Point (ROP)

The lowest inventory level at which a new order must be placed to avoid a stock out.

Demand and delivery lead time are never certain and require safety stock.

The models used under uncertainty are –

Statistical ROP with Probabilistic Demand and Constant Lead Time The Statistical ROP with Constant Demand and Probabilistic Lead

Time The Statistical ROP when Demand and Lead Time are both

Probabilistic

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Finding Safety Stock With a normal Probability Distribution, for an 85% Cycle-Service Level

Average demand

during lead time

Average demand

(D) during

lead time

Cycle-service level = 85%

Probability of stockout(1.0 – 0.85 = 0.15)

zL

R

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Finding Safety Stock and RRecords show that the demand for dishwasher detergent during the lead time is normally distributed, with an average of 250 boxes and L = 22. What safety stock should be carried for a 99 percent cycle-service level? What is R?

Safety stock (SS) = zsL

= 2.33(22) = 51.3= 51 boxes

Reorder point = DL + SS= 250 + 51= 301 boxes

2.33 is the number of standard deviations, z, to the right of average demand during the lead time that places 99% of the area under the curve to the left of that point.

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The Continuous Review System versus The Periodic Review System

Order quantity & ROP models assume that the physical inventory is precisely known at every point in time

Reality shows that stock records and actual quantity are different & requires continuous review of inventory to determine when to reorder

A Continuous Review System is costly to conduct but requires less safety stock than the

The Periodic Review System, which reviews physical inventory at specific points in time and requires higher level of safety stock

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Continuous Review Systems Selecting the reorder point with variable demand and

constant lead time

Reorder point = Average demand during lead time + Safety stock

= dL + safety stock

Whered = average demand per week (or day or months)L = constant lead time in weeks (or days or months)

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Demand During Lead Time Specify mean and standard deviation Standard deviation of demand during lead time

σdLT = σd2L = σd L

Safety stock and reorder point

Safety stock = zσdLT

wherez = number of standard deviations needed to achieve the cycle-service level

σdLT = stand deviation of demand during lead time

Reorder point R = dL + safety stock

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Continuous Review Systems General Cost Equation

Calculating total systems costs

Total cost = Annual cycle inventory holding cost + Annual ordering cost + Annual safety stock holding cost

C = (H) + (S) + (H) (Safety stock)Q

2DQ

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Periodic Review System (P) Fixed interval reorder system or periodic reorder system

Four of the original EOQ assumptions maintained No constraints are placed on lot size Holding and ordering costs Independent demand Lead times are certain

Order is placed to bring the inventory position up to the target inventory level, T, when the predetermined time, P, has elapsed

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Periodic Review System (P)

P P

T

L L L

Protection interval

Time

On

-han

d in

ven

tory

IP3

IP1

IP2

OrderplacedOrderplaced

Orderplaced

Orderreceived

Orderreceived

Orderreceived

IP IPIP

OH OHQ1

Q2

Q3

Figure 12.10 – P System When Demand Is Uncertain

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How Much to Order in a P SystemEXAMPLE

A distribution center has a backorder (BO) for five 36-inch color TV sets. No inventory is currently on hand (OH), and now is the time to review. How many should be reordered if T = 400 and no receipts are scheduled (SR)?

SOLUTION

IP = OH + SR – BO

That is, 405 sets must be ordered to bring the inventory position up to T sets.

= 0 + 0 – 5 = –5 sets

T – IP = 400 – (–5) = 405 sets

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Inventory Management Example 1An auto parts supplier sells Hardy-brand batteries to car dealers and auto

mechanics. The annual demand is approximately 1,200 batteries. The supplier pays $28 for each battery and estimates that the annual

holding cost is 30 percent of the battery's value. It costs approximately $20 to place an order (managerial and clerical costs). The supplier currently orders 100 batteries per month.

a. Determine the ordering, holding, and total inventory costs for the current order quantity.

b. Determine the economic order quantity (EOQ). c. How many orders will be placed per year using the EOQ? d. Determine the ordering, holding, and total inventory costs for the EOQ. How has ordering cost changed? Holding cost? Total inventory

cost?

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Cont’d…. Solution, We are given the following information: annual demand: D = 1200 batteries per year item cost: c = $28 per battery holding cost: C=H= ic = 30% of (28) = $8.40 per battery per year order cost: F=S= $20 per order current order quantity: Q = 100 batteries

a. The current ordering and holding costs are: TIC = C (Q/2) + F (D/Q)

= 100/2(8.40) +1200/100(20) = 420 + 240 = $660.

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Cont’d….

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EXAMPLE 2Foster Drugs, Inc., handles a variety of health and beauty aid products. A

particular hair conditioner product costs Foster $2.95 per unit. The annual holding cost rate is 20 percent. Using an EOQ model, they determined that an order quantity of 300 units should be used. The lead time to receive an order is one week, and the demand is normally distributed with a mean of 150 units per week and a standard deviation of 40 units per week.

a. What is the reorder point if the firm is willing to tolerate a 1-percent chance of a stock out during an order cycle?

b. What safety stock and annual safety stock cost are associated with your recommendation in part a?

c. Foster is considering making a transition to a periodic-review system in an attempt to coordinate ordering of some of its products. The review period would be two weeks and the delivery lead time would remain one week.

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What target inventory level would be needed to ensure the same 1-percent risk of stockout?

d. What is the safety stock associated with your answer to part c? What is the annual cost associated with holding this safety stock?

e. Compare your answers to parts b and d. If you were the manager of Foster Drugs, would you choose a continuous- or periodic-review system?

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Radio Frequency Identification (RFID)

Radio Frequency Identification (RFID)

Successor to the barcode for tracking individual unit of goods. RFID does not require direct line of sight to read a tag and information on the tag is updatable.

RFID Tags (Transponders) Readers Information Infrastructure (Local/ERP Servers)

Hand Held ReadersShelf Readers

Fixed Portal Readers

RFID MiddlewareLocal / ERP Server

Database

Item

PalletCrate

Box

RFID Tags (Transponders) Readers Information Infrastructure (Local/ERP Servers)

Hand Held ReadersShelf Readers

Fixed Portal Readers

RFID MiddlewareLocal / ERP Server

Database

Item

PalletCrate

Box

RFID Tags (Transponders) Readers Information Infrastructure (Local/ERP Servers)RFID Tags (Transponders) Readers Information Infrastructure (Local/ERP Servers)

Hand Held ReadersShelf Readers

Fixed Portal Readers

RFID MiddlewareLocal / ERP Server

Database

Item

PalletCrate

Box

Hand Held ReadersShelf Readers

Fixed Portal Readers

RFID MiddlewareLocal / ERP ServerRFID Middleware

Local / ERP Server

DatabaseDatabase

ItemItem

PalletCratePalletCrate

BoxBox

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RFID

Automates the supply chain: Materials Management – goods automatically counted and logged as

they enter the supply warehouse

Manufacturing – assembly instructions encoded on RFID tag provide information to computer controlled assembly devices

Distribution Center – shipment leaving DC automatically updates ERP to trigger a replenishment order and notify customer for delivery tracking

Retail Store – no check out lines as scanners link RFID tagged goods in shopping cart with buyers credit card

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SUMMARYThe present lecture has further analyzed the concepts and models related to inventory management. It included basic types of inventories, distinguished between independent and dependent demand, cost of inventories and their turnover. Explanation of ABC classification was also included. How RFID can be used in inventory management, EOQ model and its underlying assumption, the relationship of quantity discount and EMQ models with EOQ model. Further distinguished among various statistical ROP models and described the continuous and periodic review system of inventory management. The purpose is the optimization of inventory: to balance the costs arising from holding inventories and the benefits of it. In the coming lectures, we will show how APS can support this critical task of inventory management.