CHEN 4460 – Process Synthesis, Simulation and Optimization

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Optimization Software. CHEN 4460 – Process Synthesis, Simulation and Optimization Dr. Mario Richard Eden Department of Chemical Engineering Auburn University Lab Lecture No. 5 – Introducing LINGO October 16, 2012. Optimization Software. LINGO Should be available on computers

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Optimization Software

CHEN 4460 – Process Synthesis, Simulation and Optimization

Dr. Mario Richard EdenDepartment of Chemical EngineeringAuburn University

Lab Lecture No. 5 – Introducing LINGO

October 16, 2012

Optimization Software

• LINGO
• Should be available on computers
• Program is started using C:\LINGO\LINGO.EXE

Optimization Software

• LINGO
• To start entering a new optimization problem type:
• Model:
• Enter the objective function by typing:
• min = ……; or max = ……;
• Then enter the constraints.
• Each line must end by a semi-colon ;
• The final statement in the problem should be “end”

Optimization Example

• Hydrogen Sulfide Scrubbing
• Two variable grades of MEA.
• First grade consists of 80 weight% MEA and 20% weight water. Its cost is 80 cent/kg.
• Second grade consists of 68 weight% MEA and 32 weight% water. Its cost is 60 cent/kg.
• It is desired to mix the two grades so as to obtain an MEA solution that contains no more than 25 weight% water.
• What is the optimal mixing ratio of the two grades which will minimize the cost of MEA solution (per kg)?

Optimization Example

• Hydrogen Sulfide Scrubbing (Cont’d)
• Objective function min z = 80x1 + 60x2
• Constraints
• Water content limitation 0.20x1 + 0.32x2 ≤ 0.25
• Overall material balance x1 + x2 =1
• Non-negativity x1 ≥ 0
• x2 ≥ 0

Variables (Basis 1 kg solution)

x1 Amount of grade 1 (kg)

x2 Amount of grade 2 (kg)

z Cost of 1 kg solution (cents)

Optimization Example

• Solve using LINGO

Press this to solve problem

Optimization Example

• Solve using LINGO

Press this to switch to results