Download GTU (Gujarat Technological University Ahmedabad) B.Tech/BE (Bachelor of Technology/ Bachelor of Engineering) 2020 Summer 8th Sem 2180503 Process Modeling, Simulation And Optimization Previous Question Paper

Enrolment No.___________

**GUJARAT TECHNOLOGICAL UNIVERSITY**

**BE ? SEMESTER-VIII EXAMINATION- Summer 2020**

Subject Code: 2180503

Subject Code: 2180503

**Date:**

**27/10/2020**

**Subject Name: PROCESS MODELING, SIMULATION & OPTIMIZATION**

Time:

Time:

**02:30 PM TO 05:00 PM**

**Total Marks: 70**

**Instructions:**

**1. Attempt all questions.**

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

**Q.1 (a)**Draw the flow chart for implementing Fibonacci method.

**03**

**(b)**Show the advantages and disadvantages of Newton's method.

**04**

**(c)**What is Optimization? List the six general steps for the analysis and solution of

**07**

optimization problems.

**Q.2 (a)**Explain the meaning of following terms for optimization: Feasible solution, feasible

**03**

region, optimal solution.

**(b)**What is simulation? Explain linear system analysis.

**04**

**(c)**Discuss the degree of freedom analysis with suitable example.

**07**

**OR**

**(c)**Explain the attributes of the process affecting costs/profits make them attractive for the

**07**

application of optimization.

**Q.3 (a)**Minimize f(x) = x4 ? x + 1 using Newton's method. Take starting point = 0.64.

**03**

**(b)**Explain equation oriented mode in simulation.

**04**

**(c)**For modular approach to process simulation, discuss sequential modular approach in detail.

**07**

**OR**

**Q.3 (a)**Determine whether the following function is convex or concave:

**03**

**(b)**Define the different measures of profitability/economic performance along with their

**04**

significance.

**(c)**Explain partitioning and tearing with example.

**07**

**Q.4 (a)**Find the Eigen value Hessian matrix for f(x) = 2x 2

1 + 3x1x2 ? 2x2 + 15.

**03**

**(b)**List out limitation of Region elimination methods. Compare different region elimination

**04**

methods and suggest best method for initial interval of 3.5 for accuracy of 0.1.

**(c)**Discuss optimization of evaporator design.

**07**

**OR**

**Q.4 (a)**Write different conditions for a given function to be convex or concave in tabular form.

**03**

**(b)**Minimize f(x) = 4X 2

2

1 + 5X2 subject to 2X1 + 3X2 ? 6 = 0 using Lagrange Multipliers

**04**

method.

**(c)**List out multivariable analytical methods for optimization problems with restricted

**07**

variables equality constraints and explain any one of them with example.

**Q.5 (a)**A poster is to contain 300 cm2 of printed matter with margin of 6 cm at the top and bottom

**03**

and 4 cm at each side. Find the overall dimensions that minimize the total area of poster.

**(b)**Discuss Distributed V/S Lumped Parameter models.

**04**

**(c)**List out the important model building steps for a process.

**07**

**OR**

**Q.5 (a)**Classify the following function that they are convex or concave.

**03**

**(b)**Explain Simultaneous modular approach in simulation.

**04**

**(c)**Discuss essential feature of optimization problem.

**07**

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This post was last modified on 04 March 2021