Draw the flow chart for implementing Fibonacci method.
[3 marks]Show the advantages and disadvantages of Newton’s method.
[4 marks]What is Optimization? List the six general steps for the analysis and solution of optimization problems.
[7 marks]Explain the meaning of following terms for optimization: Feasible solution, feasible region, optimal solution.
[3 marks]What is simulation? Explain linear system analysis.
[4 marks]Discuss the degree of freedom analysis with suitable example.
[7 marks]Explain the attributes of the process affecting costs/profits make them attractive for the application of optimization.
[7 marks]Minimize f(x) = x4 – x + 1 using Newton’s method. Take starting point = 0.64.
[3 marks]Explain equation oriented mode in simulation.
[4 marks]For modular approach to process simulation, discuss sequential modular approach in detail.
[7 marks]Determine whether the following function is convex or concave:
[3 marks]Define the different measures of profitability/economic performance along with their significance.
[4 marks]Explain partitioning and tearing with example.
[7 marks]Find the Eigen value Hessian matrix for f(x) = 2x 2 + 3x x – 2x + 15.
[3 marks]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.
[4 marks]Discuss optimization of evaporator design.
[7 marks]Write different conditions for a given function to be convex or concave in tabular form.
[3 marks]Minimize f(x) = 4X 2 + 5X 2 subject to 2X + 3X – 6 = 0 using Lagrange Multipliers method.
[4 marks]List out multivariable analytical methods for optimization problems with restricted variables equality constraints and explain any one of them with example.
[7 marks]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.
[3 marks]Discuss Distributed V/S Lumped Parameter models.
[4 marks]List out the important model building steps for a process.
[7 marks]Classify the following function that they are convex or concave.
[3 marks]Explain Simultaneous modular approach in simulation.
[4 marks]Discuss essential feature of optimization problem.
[7 marks]