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Chapter eight
Inventory management
Learning objectives
• Identify and describe classification systems,
  particularly ABC analysis
• Understand the importance of record accuracy
• Explain cycle counting
• Discuss the impact of independent and
  dependent demand on inventory
• Identify the costs involved in inventory holding
• Define the term ‘inventory’
• List reasons for holding inventory
Learning objectives (cont.)
• Discuss the main requirements for effective inventory
  management
• Describe and use basic economic order quantity models
• Understand periodic and perpetual review systems
• Describe and use the quantity discount model and
  reorder point model
• Appreciate the need for buffer stock in inventory
  management
• Appreciate the need for keeping inventory
• Explain the importance of service levels in inventory
  management.
8.1 Introduction
• Inventory = stockpile or store of goods
• Type of business determines inventory
  type
• Inventory: one of the most expensive
  assets
• Good indicator – number of times
  inventory is turned.
8.2 The nature and importance of
         holding inventory
• ROI
• Larger the reduction in holding inventory,
  the higher the ROI
• Manufacturing organisations hold:
  – Raw materials
  – WIP
  – Finished goods
  – Replacement parts
8.2 The nature and importance of
     holding inventory (cont.)
  COMMON REASONS FOR KEEPING
  INVENTORY
  Decouple production process
  There is an insecure supply of raw materials
  To distance organisation from uncertain demand
  To facilitate wide variety of products
  To take advantage of supplier discounts
  To avoid price increases
  Items are in transit
  To smooth production requirements
  To prevent stock-outs occurring
  To take advantage of ordering cycles
8.2 The nature and importance of
      holding inventory (cont.)
• Objective function of inventory control
  – Satisfaction of customers
  – Management of inventory costs
  Two types of stockholding
  Overstocking – too much inventory – large
  funds tied up
  Understocking – too little inventory – late
  deliveries
8.2 The nature and importance of
      holding inventory (cont.)
• Inventory types:
  – Inventory of raw materials – not yet
    transformed into finished goods
  – WIP inventory – in process but not completed
  – Maintenance, repair and operating inventory –
    machine parts etc.
  – Finished goods inventory – goods that are
    ready for delivery
8.2 The nature and importance of
     holding inventory (cont.)
• Control and turnover of inventory
• Lower the turnover the poorer the
  performance of the inventory control function
8.2 The nature and importance of
     holding inventory (cont.)
8.2 The nature and importance of
     holding inventory (cont.)
Average world wide trends:-

ITR = 3 or 4 times

Lean manufacturing as much as 30 times!
8.2 The nature and importance of
     holding inventory (cont.)
If we assume the following:-
R250,000 of average inventory = FGI
R250,000 of average inventory = RMI
R500,000 of average inventory = WIP
R2,000,000 labour and overhead costs to transform raw materials
to finished goods
R2,500,000 = Purchasing materials cost
R750,000 – cost of carrying FGI
R2,000,000 labour and overhead costs to transform raw materials
to finished goods

Calculate TWIP,TRM & TFGI
8.2 The nature and importance of
      holding inventory (cont.)
ASSUMPTIONS
R250,000 = FGI
R250,000 = RMI
R500,000 = WIP
R2,500,000 = Purchasing
materials cost
R750,000 – cost of carrying FGI
R2,000,000 labour and overhead
costs to transform raw materials
to finished goods
8.2 The nature and importance of
      holding inventory (cont.)
ASSUMPTIONS
R250,000 = FGI
R250,000 = RMI
R500,000 = WIP
R2,500,000 = Purchasing
materials cost
R750,000 – cost of carrying FGI
R2,000,000 labour and overhead
costs to transform raw materials
to finished goods
8.2 The nature and importance of
      holding inventory (cont.)
ASSUMPTIONS
R250,000 = FGI
R250,000 = RMI
R500,000 = WIP
R2,500,000 = Purchasing
materials cost
R750,000 – cost of carrying FGI
R2,000,000 labour and overhead
costs to transform raw materials
to finished goods
8.2 The nature and importance of
      holding inventory (cont.)
ASSUMPTIONS
R250,000 = FGI
R250,000 = RMI
R500,000 = WIP
R2,500,000 = Purchasing
materials cost
R750,000 – cost of carrying FGI
R2,000,000 labour and overhead
costs to transform raw materials
to finished goods
8.2 The nature and importance of
     holding inventory (cont.)
• Methods utilised to reduce stocks
  • Reduction in line and store stock
  • A two-bin system
  • SILS (Supplier in-line sequencing) – all needed
    parts delivered to operative
  • Kanbans – cards or similar for each operating
    station to communicate demand
  • Milk runs – daily trips by suppliers
  • Supplier sub-assembly of components on the
    organisation premises
8.3 Requirements for effective
     inventory management
• Two basic functions:
  • Keeping track of the entire inventory
  • Deciding how much to order and when
8.3 Requirements for effective
 inventory management (cont.)
• Counting systems for inventory:
   • Periodic counting system – daily, weekly, monthly
     inventory counts
       – Small retail outlets
       – Results determine next order quantity
   • Perpetual counting system:
      – System updated every time an item is removed
      • Batch perpetual system
      • Online perpetual system
      • Barcode systems
8.3 Requirements for effective inventory
         management (cont.)
 • Forecasting demand and information regarding lead
   time
 • Costs incurred when inventory is carried out:
     • Holding cost – cost incurred for the actual storage
       of inventory over a specific time period
     • Ordering cost - cost associated with ordering and
       receipt of goods such as suppliers, forms and
       clerical support
     • Shortage cost – Cost incurred when demand
       exceeds supply
8.3 Requirements for effective inventory
         management (cont.)
 • HOLDING COST
   • Cost of insurance against theft/fire damage
   • Cost of interest for loans to build warehouse and stock it
   • Cost of depreciation of goods held in inventory
   • Obsolescence costs due to newer/better products coming
     into market
   • Opportunity costs because money is tied up in stock and
     can, therefore not be used for other, more profitable items
   • Usually expressed as a % of the selling price of product
8.3 Requirements for effective inventory
         management (cont.)
• HOLDING COST
TV sells for R5000.
Holding cost is 4% of
selling price per annum.
How much will it cost
organisation to hold 1 TV
in stock for 1 year?
8.3 Requirements for effective inventory
         management (cont.)
 • ORDERING COST
 • Set up costs – cost of setting machinery for
   manufacturing
    • Labour cost
    • Lost time for production
 • Operations manager must ensure all procedures and
   processes running efficiently to reduce ordering costs
8.3 Requirements for effective inventory
         management (cont.)
   • SHORTAGE COST
      –   Cost of losing a sale due to unavailability of a product
      –   The loss of goodwill of the customer
      –   The cost of lost production
      –   Downtime cost of lost production
      –   Estimation of these costs is difficult
8.3 Requirements for effective
inventory management (cont.)
 • Classification systems for inventory
    • ABC analysis
        • Pareto principle: 80/20
        Critical few; trivial many
        Use management effort to control critical
           few i.e. top 20% in value!
        Don’t always use monetary value of
           inventory item
        • H. Ford Dickie , developed ABC in 1951
        • Class discussion
          (see Table 8.2 on page 202 of the textbook)
8.3 Requirements for effective
inventory management (cont.)
 • Need for accurate inventory records
 • Usually accuracy is between 1 & 3%
8.3 Requirements for effective
inventory management (cont.)
 • Cycle counting – confirm accuracy of inventory
   records by continuous audit
     • Counted on a continuous rather than batch
       basis
 • Rules most often used:
    –   Count after a busy period
    –   Count when the balance shows zero stock
    –   Use ABC analysis to determine frequency of count
    –   Count when inventory records show a positive balance
        but a stock out occurs
8.3 Requirements for effective
inventory management (cont.)
 • Cycle counting – CLASS EXERCISE
  CLASS       INVENTORY     POLICY    ITEMS TO BE
               HOLDING               COUNTED/DAY



    A




    B




    C
8.3 Requirements for effective
inventory management (cont.)
 • Cycle counting – CLASS EXERCISE
  CLASS       INVENTORY     POLICY    ITEMS TO BE
               HOLDING               COUNTED/DAY


                            20
    A                     WORKING
                2750
                           DAYS
                            60
    B                     WORKING
                3500
                           DAYS
                            120
    C                     WORKING
                5000
                           DAYS
8.3 Requirements for effective
     inventory management (cont.)
ADVANTAGES OF CYCLE COUNTING

Ensures accuracy of inventory records

Enhances detection of errors and ensures remedial action
taken timeously

No need to close plant to facilitate cycle counting

Only trained warehouse personnel should do counts – this
minimises errors
8.3 Requirements for effective
inventory management (cont.)
 • How to control service inventory
   • Pilferage
   • Inventory shrinkage
   • Measures:
       • Bar coding shipments
       • Magnetic tags
       • Staff selection
8.3 Requirements for effective
inventory management (cont.)
 • Advantages and
   disadvantages of holding
   inventory
   • see Table 8.5 on page 206
8.4 Economic order quantity
             models
• Used to decide how much to order
• There are 3 models:
   • The basic EOQ model
   • The economic production quantity model
   • The quantity discount model
BASIC EOQ MODEL
• Developed by FW Harris at Westinghouse
  in 1915
• This same model and a number of
  variations are still used throughout industry
  today
• A number of assumptions have to be made
BASIC EOQ MODEL
         Assumptions
• No stock outs should happen if orders for inventory are
  placed at correct time
• There is a known and constant lead time that never varies
• Only two types of variable cost will incur: set up cost (cost
  of placing order) and holding cost
• All demand is independent, constant, known and never
  varies
• No discounts for quantity will be given
• The entire inventory will be received at once and complete
• There will be only one product involved and no interaction
  will take place with other products
8.4   Economic order quantity models

                          Q = order size in units
                          H = holding cost
                          D = annual demand
                          Q = order size
                          S = cost per order
                          Q0 = Optimal order quantity
EOQ – Basic Model
• Class exercise
EOQ – Basic Model
• Most limiting factor of the
  basic EOQ model is
  assumption that demand will
  always be constant
• Therefore more flexible
  continuous (Q or fixed order)
  system is used
EOQ – Continuous Model
• Mistake many managers make is to ignore
  inventory quantities that are already on
  order
• This system monitors inventory on hand on
  a continuous basis after each inventory
  transaction
• When inventory reaches reorder point
  (RoP) an order for a fixed quantity is
  placed.
Continuous Model
R=m+s            R = reorder point
s = zσ           m = mean demand over
                 a specific lead time
                 s = safety inventory
                 Z = no of std dev for a
                 given service level
                 Σ = std dev of demand
                 over leadtime
BASIC EOQ MODEL
                                                                                                                                                  ####

       D   Annual Demand Quantity of the Product           1,000                    Costs with EOQ
       P   Purchase Cost per Unit                           1.00                    Average Annual Purchase Cost:             1,000.00
       C   Fixed Cost per Order                            20.00                    Average Annual Fixed Order Cost:             50.00
       H   Annual Holding Cost per Unit                     0.25                    Average Annual Holding Cost:                 50.00
           (warehouse space, refrig., ins., etc.)                                   Total:                                    1,100.00



     EOQ Economic Order Quantity                         400.00                     Try different order quantities:                  500.00
         (optimal order quantity)

                                                                          450.00
               Costs by Order Quantity                                    400.00
                                                                                                    Inventory Level
                                                                          350.00

                                                                          300.00

                                                                          250.00
                                                       Holding Cost
                                                                          200.00
                                                       Ordering Cost
                                                       Total Cost         150.00

                                                                          100.00

                                                                            50.00

                                                                             0.00

Since the demand will be satisfied with the unit purchase cost any way, it is discarded from the model. The cost in consideration is reduced to
2 types: Holding Cost and Ordering Cost. The tradoff between these costs is optimized at the minimum point of the Total Cost Curve, i.e. EOQ.
EOQ is the level of the inventory where ordering cost and carrying cost remains equal.
OTHER MODELS
• Please read p 217 - 227
Class discussion
• What is the link between
  inventory and supply
  management?
Summary
• Nature and importance of
  holding inventory
• Effective inventory system
• EOQM.

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Inventory Management Chapter: Key Concepts and Models

  • 2. Learning objectives • Identify and describe classification systems, particularly ABC analysis • Understand the importance of record accuracy • Explain cycle counting • Discuss the impact of independent and dependent demand on inventory • Identify the costs involved in inventory holding • Define the term ‘inventory’ • List reasons for holding inventory
  • 3. Learning objectives (cont.) • Discuss the main requirements for effective inventory management • Describe and use basic economic order quantity models • Understand periodic and perpetual review systems • Describe and use the quantity discount model and reorder point model • Appreciate the need for buffer stock in inventory management • Appreciate the need for keeping inventory • Explain the importance of service levels in inventory management.
  • 4. 8.1 Introduction • Inventory = stockpile or store of goods • Type of business determines inventory type • Inventory: one of the most expensive assets • Good indicator – number of times inventory is turned.
  • 5. 8.2 The nature and importance of holding inventory • ROI • Larger the reduction in holding inventory, the higher the ROI • Manufacturing organisations hold: – Raw materials – WIP – Finished goods – Replacement parts
  • 6. 8.2 The nature and importance of holding inventory (cont.) COMMON REASONS FOR KEEPING INVENTORY Decouple production process There is an insecure supply of raw materials To distance organisation from uncertain demand To facilitate wide variety of products To take advantage of supplier discounts To avoid price increases Items are in transit To smooth production requirements To prevent stock-outs occurring To take advantage of ordering cycles
  • 7. 8.2 The nature and importance of holding inventory (cont.) • Objective function of inventory control – Satisfaction of customers – Management of inventory costs Two types of stockholding Overstocking – too much inventory – large funds tied up Understocking – too little inventory – late deliveries
  • 8. 8.2 The nature and importance of holding inventory (cont.) • Inventory types: – Inventory of raw materials – not yet transformed into finished goods – WIP inventory – in process but not completed – Maintenance, repair and operating inventory – machine parts etc. – Finished goods inventory – goods that are ready for delivery
  • 9. 8.2 The nature and importance of holding inventory (cont.) • Control and turnover of inventory • Lower the turnover the poorer the performance of the inventory control function
  • 10. 8.2 The nature and importance of holding inventory (cont.)
  • 11. 8.2 The nature and importance of holding inventory (cont.) Average world wide trends:- ITR = 3 or 4 times Lean manufacturing as much as 30 times!
  • 12. 8.2 The nature and importance of holding inventory (cont.) If we assume the following:- R250,000 of average inventory = FGI R250,000 of average inventory = RMI R500,000 of average inventory = WIP R2,000,000 labour and overhead costs to transform raw materials to finished goods R2,500,000 = Purchasing materials cost R750,000 – cost of carrying FGI R2,000,000 labour and overhead costs to transform raw materials to finished goods Calculate TWIP,TRM & TFGI
  • 13. 8.2 The nature and importance of holding inventory (cont.) ASSUMPTIONS R250,000 = FGI R250,000 = RMI R500,000 = WIP R2,500,000 = Purchasing materials cost R750,000 – cost of carrying FGI R2,000,000 labour and overhead costs to transform raw materials to finished goods
  • 14. 8.2 The nature and importance of holding inventory (cont.) ASSUMPTIONS R250,000 = FGI R250,000 = RMI R500,000 = WIP R2,500,000 = Purchasing materials cost R750,000 – cost of carrying FGI R2,000,000 labour and overhead costs to transform raw materials to finished goods
  • 15. 8.2 The nature and importance of holding inventory (cont.) ASSUMPTIONS R250,000 = FGI R250,000 = RMI R500,000 = WIP R2,500,000 = Purchasing materials cost R750,000 – cost of carrying FGI R2,000,000 labour and overhead costs to transform raw materials to finished goods
  • 16. 8.2 The nature and importance of holding inventory (cont.) ASSUMPTIONS R250,000 = FGI R250,000 = RMI R500,000 = WIP R2,500,000 = Purchasing materials cost R750,000 – cost of carrying FGI R2,000,000 labour and overhead costs to transform raw materials to finished goods
  • 17. 8.2 The nature and importance of holding inventory (cont.) • Methods utilised to reduce stocks • Reduction in line and store stock • A two-bin system • SILS (Supplier in-line sequencing) – all needed parts delivered to operative • Kanbans – cards or similar for each operating station to communicate demand • Milk runs – daily trips by suppliers • Supplier sub-assembly of components on the organisation premises
  • 18. 8.3 Requirements for effective inventory management • Two basic functions: • Keeping track of the entire inventory • Deciding how much to order and when
  • 19. 8.3 Requirements for effective inventory management (cont.) • Counting systems for inventory: • Periodic counting system – daily, weekly, monthly inventory counts – Small retail outlets – Results determine next order quantity • Perpetual counting system: – System updated every time an item is removed • Batch perpetual system • Online perpetual system • Barcode systems
  • 20. 8.3 Requirements for effective inventory management (cont.) • Forecasting demand and information regarding lead time • Costs incurred when inventory is carried out: • Holding cost – cost incurred for the actual storage of inventory over a specific time period • Ordering cost - cost associated with ordering and receipt of goods such as suppliers, forms and clerical support • Shortage cost – Cost incurred when demand exceeds supply
  • 21. 8.3 Requirements for effective inventory management (cont.) • HOLDING COST • Cost of insurance against theft/fire damage • Cost of interest for loans to build warehouse and stock it • Cost of depreciation of goods held in inventory • Obsolescence costs due to newer/better products coming into market • Opportunity costs because money is tied up in stock and can, therefore not be used for other, more profitable items • Usually expressed as a % of the selling price of product
  • 22. 8.3 Requirements for effective inventory management (cont.) • HOLDING COST TV sells for R5000. Holding cost is 4% of selling price per annum. How much will it cost organisation to hold 1 TV in stock for 1 year?
  • 23. 8.3 Requirements for effective inventory management (cont.) • ORDERING COST • Set up costs – cost of setting machinery for manufacturing • Labour cost • Lost time for production • Operations manager must ensure all procedures and processes running efficiently to reduce ordering costs
  • 24. 8.3 Requirements for effective inventory management (cont.) • SHORTAGE COST – Cost of losing a sale due to unavailability of a product – The loss of goodwill of the customer – The cost of lost production – Downtime cost of lost production – Estimation of these costs is difficult
  • 25. 8.3 Requirements for effective inventory management (cont.) • Classification systems for inventory • ABC analysis • Pareto principle: 80/20 Critical few; trivial many Use management effort to control critical few i.e. top 20% in value! Don’t always use monetary value of inventory item • H. Ford Dickie , developed ABC in 1951 • Class discussion (see Table 8.2 on page 202 of the textbook)
  • 26. 8.3 Requirements for effective inventory management (cont.) • Need for accurate inventory records • Usually accuracy is between 1 & 3%
  • 27. 8.3 Requirements for effective inventory management (cont.) • Cycle counting – confirm accuracy of inventory records by continuous audit • Counted on a continuous rather than batch basis • Rules most often used: – Count after a busy period – Count when the balance shows zero stock – Use ABC analysis to determine frequency of count – Count when inventory records show a positive balance but a stock out occurs
  • 28. 8.3 Requirements for effective inventory management (cont.) • Cycle counting – CLASS EXERCISE CLASS INVENTORY POLICY ITEMS TO BE HOLDING COUNTED/DAY A B C
  • 29. 8.3 Requirements for effective inventory management (cont.) • Cycle counting – CLASS EXERCISE CLASS INVENTORY POLICY ITEMS TO BE HOLDING COUNTED/DAY 20 A WORKING 2750 DAYS 60 B WORKING 3500 DAYS 120 C WORKING 5000 DAYS
  • 30. 8.3 Requirements for effective inventory management (cont.) ADVANTAGES OF CYCLE COUNTING Ensures accuracy of inventory records Enhances detection of errors and ensures remedial action taken timeously No need to close plant to facilitate cycle counting Only trained warehouse personnel should do counts – this minimises errors
  • 31. 8.3 Requirements for effective inventory management (cont.) • How to control service inventory • Pilferage • Inventory shrinkage • Measures: • Bar coding shipments • Magnetic tags • Staff selection
  • 32. 8.3 Requirements for effective inventory management (cont.) • Advantages and disadvantages of holding inventory • see Table 8.5 on page 206
  • 33. 8.4 Economic order quantity models • Used to decide how much to order • There are 3 models: • The basic EOQ model • The economic production quantity model • The quantity discount model
  • 34. BASIC EOQ MODEL • Developed by FW Harris at Westinghouse in 1915 • This same model and a number of variations are still used throughout industry today • A number of assumptions have to be made
  • 35. BASIC EOQ MODEL Assumptions • No stock outs should happen if orders for inventory are placed at correct time • There is a known and constant lead time that never varies • Only two types of variable cost will incur: set up cost (cost of placing order) and holding cost • All demand is independent, constant, known and never varies • No discounts for quantity will be given • The entire inventory will be received at once and complete • There will be only one product involved and no interaction will take place with other products
  • 36. 8.4 Economic order quantity models Q = order size in units H = holding cost D = annual demand Q = order size S = cost per order Q0 = Optimal order quantity
  • 37. EOQ – Basic Model • Class exercise
  • 38. EOQ – Basic Model • Most limiting factor of the basic EOQ model is assumption that demand will always be constant • Therefore more flexible continuous (Q or fixed order) system is used
  • 39. EOQ – Continuous Model • Mistake many managers make is to ignore inventory quantities that are already on order • This system monitors inventory on hand on a continuous basis after each inventory transaction • When inventory reaches reorder point (RoP) an order for a fixed quantity is placed.
  • 40. Continuous Model R=m+s R = reorder point s = zσ m = mean demand over a specific lead time s = safety inventory Z = no of std dev for a given service level Σ = std dev of demand over leadtime
  • 41. BASIC EOQ MODEL #### D Annual Demand Quantity of the Product 1,000 Costs with EOQ P Purchase Cost per Unit 1.00 Average Annual Purchase Cost: 1,000.00 C Fixed Cost per Order 20.00 Average Annual Fixed Order Cost: 50.00 H Annual Holding Cost per Unit 0.25 Average Annual Holding Cost: 50.00 (warehouse space, refrig., ins., etc.) Total: 1,100.00 EOQ Economic Order Quantity 400.00 Try different order quantities: 500.00 (optimal order quantity) 450.00 Costs by Order Quantity 400.00 Inventory Level 350.00 300.00 250.00 Holding Cost 200.00 Ordering Cost Total Cost 150.00 100.00 50.00 0.00 Since the demand will be satisfied with the unit purchase cost any way, it is discarded from the model. The cost in consideration is reduced to 2 types: Holding Cost and Ordering Cost. The tradoff between these costs is optimized at the minimum point of the Total Cost Curve, i.e. EOQ. EOQ is the level of the inventory where ordering cost and carrying cost remains equal.
  • 42. OTHER MODELS • Please read p 217 - 227
  • 43. Class discussion • What is the link between inventory and supply management?
  • 44. Summary • Nature and importance of holding inventory • Effective inventory system • EOQM.