Example of an Oil Refinery Levels

Fundamentals (R & D)Fundamental Science Each Process (Mfg)Nested Science Simulations Total CompanyNested Science Optimizations
Fundamental Engineering Nested Engineering Simulations Nested Engineering Optimizations
Root Optimization (Level 1)
  • Most important ... fundamental equations
  • Can run independently
  • Contains math models to optimize design
  • Mainly Research & Development dept. work
Each Process Opt. (Level 2)
  • Optimize each process while optimizing R&D work
  • Can run independently
  • Contains math models mainly from R&D work
Company/Site Opt. (Level 3)
  • Optimize all processes
  • Executes each process & optimizes all levels (1,2,&3)!!!



Problem-Solving Applications include:

CurvFit: a curve fitting program with Lorentzian, Sine, Exponential and Power series are available models to match your data.

Match-n-Freq: a Matched Filter program used to filter signals and slim pulses.

Industry Problem-Solving Descriptions include:

Electrical Filter Design: find the transfer function's poles & zeros; H(s) = Yout(s) / Yin(s).

Pulse Slimming to minimize InterSymbol Interference: via Arbitrary Equalization with Simple LC Structures to reduce errors.

Voice Coil Motor: basically an electromagnetic transducer in which a coil placed in a magnetic pole gap experiences a force proportional to the current passing through the coil.

AC Motor Design: a simulation program for A.C. motor design that was reapplied as a constrained optimization problem with 12 unknown parameters and 7 constraints.

Digitized Signal from Magnetic Recording: Magnetic recording of transitions written onto a computer disc drive may produce an isolated pulse as shown.

PharmacoKinetics: an open-two- compartment model with first order absorption into elimination from central compartment is presented here.


 
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Textbooks - Parameter Estimation 4 ODE/PDE - Signal Analysis / Spectral Estimation - Body Plasma - Solar Cell
Increasing Productivity Examples: AC Motor Design - Matched Filters - Pulse Slimming / InterSymbol Interference - Pilot (safe) Ejection - PharmacoKinetics Simulation - Poisson's (Differential) Equation - Schrodinger (Differential) Equation - BVP 4 PDE Equations - Implicit (Differential) Equations