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Prezentace aplikace PowerPoint

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Title: Prezentace aplikace PowerPoint Author: Supervisor Last modified by: Fabry Created Date: 9/22/2003 3:47:19 PM Document presentation format: P edv d n na ... – PowerPoint PPT presentation

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Title: Prezentace aplikace PowerPoint


1
Deterministic Inventory Models
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
2
Deterministic Inventory Models
Basic EOQ Model
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
3
Deterministic Inventory Models
Basic Economic Order Quantity Model (EOQ Model)
  • How much to order? Optimum quantity
  • When to order? Optimum reorder point
  • What is the total cost?
  • What is the average inventory level?
  • What is the maximum inventory level?

_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
4
Deterministic Inventory Models
Basic Economic Order Quantity Model (EOQ Model)
Assumptions
  • Single item
  • Deterministic demand (static)
  • Deterministic lead time (constant)
  • Uniform depletion of the inventory

_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
5
Deterministic Inventory Models
Basic Economic Order Quantity Model (EOQ Model)
Assumptions
  • Constant order quantity (OQ)
  • Purchasing cost is independent of the OQ
  • Unit holding cost is independent of the OQ
  • No shortages, no surpluses

_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
6
Deterministic Inventory Models
Basic Economic Order Quantity Model (EOQ Model)
Cycle 1
Cycle 2
Cycle 3
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
7
Deterministic Inventory Models
EOQ Model
Example Brewery
  • Monthly production of beer 4 000 hl
  • Filling into glass bottles 25 of production
  • Empty bottles stored in plastic cases (20 pcs.)
  • Annual holding cost per case 20 CZK
  • Ordering cost transportation 11 000 CZK per
    order other 1 000 CZK per order
  • Lead time ½ of month
  • Objective minimize total annual cost

_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
8
Deterministic Inventory Models
EOQ Model
Example Brewery
  • Annual demand

Q 120 000 cases
  • Annual holding cost

c1 20 CZK per case
  • Ordering cost

c2 12 000 CZK per order
  • Lead time

d 1/2 of month 1/24 of year
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
9
Deterministic Inventory Models
EOQ Model
Example Brewery
  • Total annual cost

_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
10
Deterministic Inventory Models
EOQ Model
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
11
Deterministic Inventory Models
EOQ Model
Example Brewery
  • Order quantity - q
  • Maximum inventory level
  • Average inventory level

_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
12
Deterministic Inventory Models
EOQ Model
Example Brewery
  • Total annual HOLDING cost
  • Total annual ORDERING cost

_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
13
Deterministic Inventory Models
EOQ Model
Example Brewery
  • Total annual cost

_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
14
Deterministic Inventory Models
EOQ Model
Example Brewery
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
15
Deterministic Inventory Models
EOQ Model
Example Brewery
Policy I Policy II Policy III
Annual demand Q 120 000 120 000 120 000
Order quantity q 10 000 60 000 120 000
Annual unit holding cost c1 20 20 20
Average inventory level q/2 5 000 30 000 60 000
Total annual holding cost HC 100 000 600 000 1 200 000
Unit ordering cost c2 12 000 12 000 12 000
Number of orders Q/q 12 2 1
Total annual ordering cost OC 144 000 24 000 12 000
Total annual cost TC 244 000 624 000 1 212 000
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
16
Deterministic Inventory Models
EOQ Model
Example Brewery
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
17
Deterministic Inventory Models
EOQ Model
Example Brewery
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
18
Deterministic Inventory Models
EOQ Model
Example Brewery
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
19
Deterministic Inventory Models
EOQ Model
Example Brewery
  • Optimum order quantity

_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
20
Deterministic Inventory Models
EOQ Model
Example Brewery
  • Optimum total annual cost

_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
21
Deterministic Inventory Models
EOQ Model
Example Brewery
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
22
EOQ Model
Example Brewery
  • Optimum length of inventory cycle

_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
23
Deterministic Inventory Models
EOQ Model
Example Brewery
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
24
Deterministic Inventory Models
EOQ Model
Example Brewery
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
25
EOQ Model
Example Brewery
  • Optimum reorder point

_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
26
Deterministic Inventory Models
EOQ Model
Example Brewery
d gt t
_______________________________________________
____________________________ Quantitative
Methods of Management ? Jan Fábry
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