Process Modeling, Simulation & Optimization — Summer 2020

Draw the flow chart for implementing Fibonacci method.

Show the advantages and disadvantages of Newton’s method.

What is Optimization? List the six general steps for the analysis and solution of optimization problems.

Explain the meaning of following terms for optimization: Feasible solution, feasible region, optimal solution.

What is simulation? Explain linear system analysis.

Discuss the degree of freedom analysis with suitable example.

Explain the attributes of the process affecting costs/profits make them attractive for the application of optimization.

Minimize f(x) = x4 – x + 1 using Newton’s method. Take starting point = 0.64.

Explain equation oriented mode in simulation.

For modular approach to process simulation, discuss sequential modular approach in detail.

Determine whether the following function is convex or concave:

Define the different measures of profitability/economic performance along with their significance.

Explain partitioning and tearing with example.

Find the Eigen value Hessian matrix for f(x) = 2x 2 + 3x x – 2x + 15.

List out limitation of Region elimination methods. Compare different region elimination methods and suggest best method for initial interval of 3.5 for accuracy of 0.1.

Discuss optimization of evaporator design.

Write different conditions for a given function to be convex or concave in tabular form.

Minimize f(x) = 4X 2 + 5X 2 subject to 2X + 3X – 6 = 0 using Lagrange Multipliers method.

List out multivariable analytical methods for optimization problems with restricted variables equality constraints and explain any one of them with example.

Aposter is to contain 300 cm2 of printed matter with margin of 6 cm at the top and bottom and 4 cm at each side. Find the overall dimensions that minimize the total area of poster.

Discuss Distributed V/S Lumped Parameter models.

List out the important model building steps for a process.

Classify the following function that they are convex or concave.

Explain Simultaneous modular approach in simulation.

Discuss essential feature of optimization problem.