Operations Management

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McGraw-Hill/Irwin. Operations Management, Eighth Edition, by William J. Stevenson. Copyright © 2005 by The McGraw-Hill Companies, Inc. All rights reserved.
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Inventory Management

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Inventory Management

CHAPTER

Operations Management

11

Inventory Management

William J. Stevenson

8th edition Operations Management, Eighth Edition, by William J. Stevenson Copyright © 2005 by The McGraw-Hill Companies, Inc. All rights reserved.

McGraw-Hill/Irwin

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Inventory Management

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Inventory: a stock or store of goods

Independent Demand

Dependent Demand

A

Inventory Management

Types of Inventories

Raw materials & purchased parts • Partially completed goods called work in progress •

• C(2)

B(4)

D(2)

E(1)

D(3)

Finished-goods inventories •

F(2)

Independent demand is uncertain. Dependent demand is certain.

(manufacturing firms) or merchandise (retail stores)

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Inventory Management

Types of Inventories (Cont’ (Cont’d)

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Inventory Management

Functions of Inventory



Replacement parts, tools, & supplies



To meet anticipated demand



Goods-in-transit to warehouses or customers



To smooth production requirements



To decouple operations



To protect against stock-outs

Inventory Management

Functions of Inventory (Cont’ (Cont’d)



To take advantage of order cycles



To help hedge against price increases



To permit operations



To take advantage of quantity discounts

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Inventory Management

Objective 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

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Inventory Management

Effective 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

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Inventory Counting Systems



Periodic System Physical count of items made at periodic intervals



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

A classification system

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Inventory Counting Systems (Cont’ (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 has information about the item to which it is attached •

0

214800 232087768

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Key Inventory Terms

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 •

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ABC Classification System

Cycle Counting

Figure 11.1

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

A - very important B - mod. important C - least important

High



A physical count of items in inventory



Cycle counting management

A

Annual $ value of items



How much accuracy is needed?



When should cycle counting be performed?



Who should do it?

B C

Low Few

Many

Number of Items

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Economic Order Quantity Models

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Assumptions of EOQ Model



Economic order quantity model



Only one product is involved



Economic production model



Annual demand requirements known



Quantity discount model



Demand is even throughout the year



Lead time does not vary



Each order is received in a single delivery



There are no quantity discounts

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The Inventory Cycle

Total Cost

Figure 11.2 Profile of Inventory Level Over Time

Q

Usage rate

Quantity on hand

Annual Annual Total cost = carrying + ordering cost cost TC =

Reorder point

Receive order

Place Receive order order

Q H 2

+

DS Q

Time

Place Receive order order

Lead time

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Cost Minimization Goal

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Deriving the EOQ

Figure 11.4C

Annual Cost

The Total-Cost Curve is U-Shaped TC =

D Q H+ S 2 Q

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

Q OPT =

Ordering Costs QO (optimal order quantity)

Order Quantity (Q)

2DS = H

2( Annual Demand )(Order or Setup Cost ) Annual Holding Cost

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Minimum Total Cost

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

2DS = H

2( Annual Demand )(Order or Setup Cost ) Annual Holding Cost

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Economic Production Quantity Assumptions 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

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Economic Production Quantity (EPQ) 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 •

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Economic Run Size



Q0 =

p 2DS H p− u

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Total Costs with Purchasing Cost

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Total Costs with PD

Cost

Figure 11.7

Annual Annual TC = carrying + ordering + Purchasing cost cost cost TC =

Q H 2

+

DS Q

+

Adding Purchasing cost doesn’t change EOQ

TC with PD

TC without PD

PD

PD

0

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Total Cost with Constant Carrying Costs

EOQ

Quantity

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When to Reorder with EOQ Ordering

Figure 11.9 •

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.

Total Cost

TCa TCb

Decreasing Price

TCc

CC a,b,c OC

EOQ

Quantity

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Determinants of the Reorder Point

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Safety Stock

Figure 11.12

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

Quantity



Maximum probable demand during lead time Expected demand during lead time

ROP Safety stock reduces risk of stockout during lead time

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Safety stock LT

Time

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Reorder Point

FixedFixed-OrderOrder-Interval Model

Figure 11.13 The ROP based on a normal Distribution of lead time demand Service level Risk of a stockout Probability of no stockout Expected demand 0

ROP

Quantity

Safety stock z

z-scale

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 •

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FixedFixed-Interval Benefits

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

Ordering Packing • Shipping costs •

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FixedFixed-Interval Disadvantages

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





May be practical when inventories cannot be closely monitored

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Single Period Model



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

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Single Period Model





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

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Operations Strategy



CHAPTER

Too much inventory Tends to hide problems • Easier to live with problems than to eliminate them • Costly to maintain •



Wise strategy • •

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Additional PowerPoint slides contributed by Geoff Willis, University of Central Oklahoma.

Reduce lot sizes Reduce safety stock

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Usage

Production & Usage

Production & Usage

Economic Production Quantity

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Gortrac Manufacturing

Usage

In v

en t

or yL

ev el

GTS3 Inventory/Assessment/Reduction

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Materials

PS7 Washburn Guitars