You will need this information to work with:
Yearly requirement of product
Fermentation yield Yf
Down stream processing yield Yd/p
Cleaning and sterilization time
Down time (days when the plant shuts off)
Working bioreactor volume
Start by calculating the working days by subtracting the down time from 365 days.
Calculate 1 cycle duration = cleaning and sterilization time + fermentation time.
Calculate the number of cycles per year (working days)/(cycle duration)
Insert the following values into the equation:
(yearly requirement of product)/( Yf * Yd/p * number of cycles) = fermentation volume for each fermentation
Number of bioreactors = (cycle volume/ bioreactor volume)
To take into account the failure rate
(number of bioreactors)/(1-(failure rate in%/100)