Economic Order Quantity (EOQ) Models notations
D Annual Demand
C Cost per unit
I interest to hold the Inventory.
H Unit holding cost which is expressed as a percentage of costs (C*I)
O Ordering costs
Q* The Quantity to be ordered
T Length of the Time
N Number of annual order
Economic Order Quantity (EOQ) Models
Formulas
Unit holding Cost (H)= C * I
EOQ or Q opt
or Q*=SQRT ((2*D*O)/H)
No. Of orders (N)=D/EOQ
Annual Holding Cost (AHC)=H * EOQ/2
Annual ordering Cost (AOC)= N*O
Combine Cost (CC)= AHC+ AOC
Purchase Cost (PC)= D*C
Total Cost= CC + PC
Average inventory=Q*/2
Duration between Orders or Time between orders (T)= No of
Working Days/N.
Economic Production Lot (EPL) Size
Models Notations
D Annual Demand
C Cost per unit
I interest to hold the Inventory.
H Unit holding Cost =(C*I).
O Ordering costs (Setup Cost)
P Production Rate
Q*, Q opt The Quantity to be produced
T Duration between productions run
N Number of production runs
Economic Production Lot (EPL) Size
Models Formulas
Unit holding Cost (H)= C * I
Lot size (Q*, Q opt)= SQRT ((2 * D * O)/(H*(1-D/P)))
No Of Production runs (N)=D/Q*
Annual Holding Cost (AHC)=(H*Q opt /2)*(1-D/P)
Annual ordering (Setup)Cost (AOC)= N*O
Combine Cost (CC)= AHC+ AOC
Purchase Cost (PC)= D*C
Total Cost= CC + PC
Average inventory= (Q opt/2)*(1-D/P)
Maximum inventory= Q opt *(1-D/P)
Duration between production run (T)= No of Working Days/N.