Bioreactor Optimization Examples

Basic Optimization Modeling

• 3 Products [A, C, R₊]
• 2 Bioreactors [ BR1, BR2 ]

Schedule Production for 1 Period

Maximize Net Revenue

(Revenue net of Production Cost, Stockout Cost, and Inventory Cost)

While the following constraints are satisfied:

• Capacity Constraint: Only 1 Product Per Bioreactor
• Downstream Constraint: Downstream Technical Requirement
• Delivery Constraint: Delivery Technical Requirement
• Material Flow Constraint: Product + Prior_Inventory + Stockout = Demand + New_Inventory

See Full Model Data in Data Dictionary

Stochastic Optimization Modeling

Unknown Demand (3 scenarios)

Demand Scenarios	Prob	A	C	R+
High Demand	25%	40	30	40
More of the Same	50%	30	30	30
R+ Down C Up	25%	30	40	10
AVERAGE		32.5	32.5	27.5

Includes Functionality for Bleed Feed Production

• 3 Products [A, C, R₊]
• 2 Bioreactors [ BR1, BR2 ]
• 2 Periods [P1, P2]
• Includes Functionality for Bleed Feed Production: Avoid New Setup Cost in 2nd Period, If Bleed-Feed is Selected
• Includes Stochastic Constraint: Probability of Meeting End Inventory Requirement $\geq$ 75%

Schedule Production for 2 Periods

Maximize Net Revenue

(Revenue net of Production Cost, Stockout Cost, and Inventory Cost)

While the following constraints are satisfied:

All prior problem contraints for

• Period 1 and
• All Period 2 Scenarios

In addition:

• Bleed Feed Constraint: Bleed feed available in period 2 only if same product was scheduled for period 1
• End Inventory Constraint: Probability of meeting end inventory requirements exceeds limit

See Full Model Data in Data Dictionary