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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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slide1

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

slide2

Optimization Software

  • LINGO
    • Should be available on computers
    • If not, download zip file from class webpage
    • Program is started using C:\LINGO\LINGO.EXE
slide3

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”
slide4

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)?
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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)

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Optimization Example

  • Solve using LINGO

Press this to solve problem

slide7

Optimization Example

  • Solve using LINGO

Press this to switch to results

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