Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.1
12.1
Chapter 12
Inventory planning and control
Photodisc. Kim Steele
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.2
12.2
Design
Planning and
control
Operations
strategy
Improvement
Inventory planning and control
Inventory planning
and control
The operation supplies…
the delivery of a quantity of
products and services
when required
The market requires…
a quantity of products
and services at a
particular time
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.3
12.3
Key operations questions
In Chapter 12 – Inventory planning and control – Slack
et al. identify the following key questions:
• What is inventory?
• Why is inventory necessary?
• What are the disadvantages of holding inventory?
• How much inventory should an operation hold?
• When should an operation replenish its inventory?
• How can inventory be controlled?
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.4
12.4 Inventory is created to compensate for the differences in
timing between supply and demand
Input
process
Inventory
Output
process
Rate of supply from
input process
Rate of demand from
output processInventory
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.5
12.5
e.g. Automotive parts
distributor
e.g. Local retail store
Single-stage
inventory system
Suppliers Suppliers
Stock Sales
operation
Central
depot
Distribution Local
distribution
point
Sales
operation
Two-stage inventory
system
Single-stage and two-stage inventory systems
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.6
12.6
e.g. Television manufacturer
Suppliers
Input
stock
Stage
1
A multi-stage inventory system
WIP Stage
2
WIP Stage
3
Finished
goods
stock
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.7
12.7
A multi-echelon inventory system
Yarn
producers
Cloth
manufacturers
Garment
manufacturers
Regional
warehouses
Retail
stores
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.8
12.8 A paper merchant must get its inventory planning and
control right
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.9
12.9
Inventory profiles chart the variation in inventory level
Time
per periodD
Q
Instantaneous deliveries at a rate of
Q
D
Inventorylevel
Steady and
predictable
demand (D) Slope = demand rate (D)
=
Average inventory
Q
2
Order
quantity = Q
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.10
12.10 Two alternative inventory plans with different
order quantities (Q)
Time
Inventorylevel
Plan A
Q = 400
Demand (D) = 1000 items per year
Average inventory
for plan A = 200
Average inventory
for plan B = 50
0.1 yr 0.4 yr
100
400
Plan B
Q = 100
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.11
12.11
400
350
300
250
200
150
100
50
40035030025020015010050
Order quantity
Costs
Economic order
quantity (EOQ)
Total costs
Holding costs
Order costs
Traditional view of inventory-related costs
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.12
12.12
Cycle inventory in a bakeryInventorylevel
Deliver
A
Produce A
Deliver
B
Produce B
Deliver
C
Produce C
Deliver
A
Produce A Produce B
Deliver
B
Produce C
Deliver
C
Time
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.13
12.13
Time
Inventorylevel
Inventory profile for gradual replacement of inventory
Order
quantity
Q
Q
P
M
Slope = P – D
Slope = D
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.14
12.14
Inventory
level
Time
Shortages
Inventory planning allowing for shortages
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.15
12.15
The re-order point
400
300
200
100
Inventorylevel
0
0 1 2 3 4 5 6 7 8
Re-order level
Re-order point
Time
Demand (D) = 100 items per week
Order lead time
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.16
12.16 Safety stock(s) helps to avoid stock-outs when demand and/or
order lead times are uncertain
Inventorylevel
S
Q
Time
t1 t2
d1
d2
Re-order level (ROL)
Distribution of
lead-time
usage
?
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.17
12.17 The probability distributions for order lead time and demand
rate combine to give the lead-time usage distribution
0.4
0.3
0.2
0.1
0
110 120 130 140
Probability
Demand rate
0.4
0.3
0.2
0.1
0
1 2 3 4 5
Probability
Order lead time
0.4
0.3
0.2
0.1
0
Probability
100–199
Lead-time usage
120–299 300–399 400–499 500–599 600–699 700–799
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.18
12.18 A periodic review approach to order timing with probabilistic
demand and lead time
Inventorylevel
Qm
To T1 T2 T3 Time
t1 t2 t3
tf tf tf
Q1 Q2 Q3
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.19
12.19
100
90
80
70
60
50
40
30
20
10
100908070605040302010
Class C
items
Class B
items
Class A
items
Pareto curve for stocked items
Percentage of types of items
Percentageofvalueofitems
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.20
12.20
Inventory classifications and measures
Class A items – the
20% or so of high-
value items which
account for around
80% of the total
stock value.
Class B items – the
next 30% or so of
medium-value items
which account for
around 10% of the
total stock value.
Class C items – the
remaining 50% or so
of low-value items
which account for
around the last 10%
of the total stock
value.
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.21
12.21 If the true costs of stock holding are taken into account, and if the cost of ordering (or
changeover) is reduced, the economic order quantity ( EOQ) is much smaller
Original
holding costs
Original total
costs
Revised
holding
costs
Order quantity
Costs
Original
EOQ
Revised
EOQ
Revised order
costs
Revised total
costs
Original order
costs
Slack, Chambers and Johnston, Operations Management, 6th Edition,
© Nigel Slack, Stuart Chambers, and Robert Johnston 201012.22
12.22
Two bin system Three bin system
The ‘Two bin’ and ‘Three bin’ systems of re-ordering system
Bin 2Bin 1 Bin 1 Bin 2 Bin 3
Items being
used
Re-order
level + safety
inventory
Items being
used
Re-order
level
inventory
Safety
inventory

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Power point presentations 12

  • 1. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.1 12.1 Chapter 12 Inventory planning and control Photodisc. Kim Steele
  • 2. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.2 12.2 Design Planning and control Operations strategy Improvement Inventory planning and control Inventory planning and control The operation supplies… the delivery of a quantity of products and services when required The market requires… a quantity of products and services at a particular time
  • 3. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.3 12.3 Key operations questions In Chapter 12 – Inventory planning and control – Slack et al. identify the following key questions: • What is inventory? • Why is inventory necessary? • What are the disadvantages of holding inventory? • How much inventory should an operation hold? • When should an operation replenish its inventory? • How can inventory be controlled?
  • 4. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.4 12.4 Inventory is created to compensate for the differences in timing between supply and demand Input process Inventory Output process Rate of supply from input process Rate of demand from output processInventory
  • 5. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.5 12.5 e.g. Automotive parts distributor e.g. Local retail store Single-stage inventory system Suppliers Suppliers Stock Sales operation Central depot Distribution Local distribution point Sales operation Two-stage inventory system Single-stage and two-stage inventory systems
  • 6. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.6 12.6 e.g. Television manufacturer Suppliers Input stock Stage 1 A multi-stage inventory system WIP Stage 2 WIP Stage 3 Finished goods stock
  • 7. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.7 12.7 A multi-echelon inventory system Yarn producers Cloth manufacturers Garment manufacturers Regional warehouses Retail stores
  • 8. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.8 12.8 A paper merchant must get its inventory planning and control right
  • 9. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.9 12.9 Inventory profiles chart the variation in inventory level Time per periodD Q Instantaneous deliveries at a rate of Q D Inventorylevel Steady and predictable demand (D) Slope = demand rate (D) = Average inventory Q 2 Order quantity = Q
  • 10. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.10 12.10 Two alternative inventory plans with different order quantities (Q) Time Inventorylevel Plan A Q = 400 Demand (D) = 1000 items per year Average inventory for plan A = 200 Average inventory for plan B = 50 0.1 yr 0.4 yr 100 400 Plan B Q = 100
  • 11. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.11 12.11 400 350 300 250 200 150 100 50 40035030025020015010050 Order quantity Costs Economic order quantity (EOQ) Total costs Holding costs Order costs Traditional view of inventory-related costs
  • 12. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.12 12.12 Cycle inventory in a bakeryInventorylevel Deliver A Produce A Deliver B Produce B Deliver C Produce C Deliver A Produce A Produce B Deliver B Produce C Deliver C Time
  • 13. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.13 12.13 Time Inventorylevel Inventory profile for gradual replacement of inventory Order quantity Q Q P M Slope = P – D Slope = D
  • 14. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.14 12.14 Inventory level Time Shortages Inventory planning allowing for shortages
  • 15. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.15 12.15 The re-order point 400 300 200 100 Inventorylevel 0 0 1 2 3 4 5 6 7 8 Re-order level Re-order point Time Demand (D) = 100 items per week Order lead time
  • 16. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.16 12.16 Safety stock(s) helps to avoid stock-outs when demand and/or order lead times are uncertain Inventorylevel S Q Time t1 t2 d1 d2 Re-order level (ROL) Distribution of lead-time usage ?
  • 17. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.17 12.17 The probability distributions for order lead time and demand rate combine to give the lead-time usage distribution 0.4 0.3 0.2 0.1 0 110 120 130 140 Probability Demand rate 0.4 0.3 0.2 0.1 0 1 2 3 4 5 Probability Order lead time 0.4 0.3 0.2 0.1 0 Probability 100–199 Lead-time usage 120–299 300–399 400–499 500–599 600–699 700–799
  • 18. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.18 12.18 A periodic review approach to order timing with probabilistic demand and lead time Inventorylevel Qm To T1 T2 T3 Time t1 t2 t3 tf tf tf Q1 Q2 Q3
  • 19. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.19 12.19 100 90 80 70 60 50 40 30 20 10 100908070605040302010 Class C items Class B items Class A items Pareto curve for stocked items Percentage of types of items Percentageofvalueofitems
  • 20. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.20 12.20 Inventory classifications and measures Class A items – the 20% or so of high- value items which account for around 80% of the total stock value. Class B items – the next 30% or so of medium-value items which account for around 10% of the total stock value. Class C items – the remaining 50% or so of low-value items which account for around the last 10% of the total stock value.
  • 21. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.21 12.21 If the true costs of stock holding are taken into account, and if the cost of ordering (or changeover) is reduced, the economic order quantity ( EOQ) is much smaller Original holding costs Original total costs Revised holding costs Order quantity Costs Original EOQ Revised EOQ Revised order costs Revised total costs Original order costs
  • 22. Slack, Chambers and Johnston, Operations Management, 6th Edition, © Nigel Slack, Stuart Chambers, and Robert Johnston 201012.22 12.22 Two bin system Three bin system The ‘Two bin’ and ‘Three bin’ systems of re-ordering system Bin 2Bin 1 Bin 1 Bin 2 Bin 3 Items being used Re-order level + safety inventory Items being used Re-order level inventory Safety inventory