Week 3 - EOQ, EBQ and VMI Flashcards
Graphical representation of EOQ (Economic order quantity) (2)
• The total cost is the sum of the carrying costs and ordering costs
• The economic ordering cost is when the total is a minimum
Draw the basic model 1 for Economic order quantities
What are the assumptions for the basic model 1 for Economic order quantity? (6)
• Inventory of quantity Q is delivered in one lot according to an ordering schedule
• Delivered inventory is used at a linear rate
• When the last item of inventory is used, a new lot arrives instantly
• There is no safety stock
• The purchase cost for inventory is constant. There are no quantity discounts
• The lead time between ordering and delivery is known and constant
List the terms used in the basic EOQ model (5)
• D is the annual demand for material in units/year
• Q is the quantity of material ordered in units/purchase order
• C is the cost of carrying one unit in inventory for one year
• S is the average cost of placing a purchase order
• TSC is the total stocking cost
Formula for Average inventory
(Beginning inventory + ending inventory) / 2
What is the formula for the annual carrying cost?
• (Average inventory x unit carrying cost) / 2
• QC/2
• This figure gives the value for the carrying cost curve
What is the formula for the number of order made per year?
• Annual consumption / order quantity
• D/Q
What the formula for the annual ordering cost?
• Number of orders x ordering cost
• DS/Q
• Gives the annual ordering cost curve on the graph
What is the formula for the total stocking cost?
TSC = QC/2 + DS/Q
What does the total stocking cost formula show? (2)
• It shows that when one cost is decrease the other is decreasing (this is in terms of carrying and order costs)
• Total costs are a minimum when the total carrying cost and the purchasing costs are equal
What is the formula for the EOQ? (Economic order quantity)
Is the square root of: 2DS/C
What is meant by the EOQ? (Economic order quantity)
Is the quantity to order to make inventory related costs a minimum
Draw the model 2 of Economic order quantity
Where might model 2 for economic order quantity be applied? (2)
• Can be applied in distribution where inventory items are being delivered to a distribution centre and put into storage and throughout the day those items are being sold
• Factory production lines where workstations rely on previous operators providing batches of materials (w.I.p)
Characteristic Maximum inventory in model 2
• The inventory very rarely reaches the maximum Q
• Max value would be: Net build up rate (input-output) x time taken to deliver Q
Formula for max inventory
p-d x Q/p
The assumptions for model 2 (7)
D,Q,C,S,p,d,TSC
• D is the annual demand for material in units/year
• Q is the quantity of material ordered in units/purchase order
• C is the cost of carrying one unit in inventory for one year
• S is the average cost of placing a purchase order
• p is the delivery rate of the material units per time
• d is the usage rate of the material in units per time period
• TSC is the total annual inventory stocking cost
Average inventory formula (model 2)
• Is one half the maximum and minimum inventory
• (p-d)Q/2p