Ch6 Formulas

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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.

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