UNIQUE SERIES AKTU Syllabus
BCH052

Optimization Techniques

L-T-P3-0-0 Credits3 Session2024-25 TypeTheory
Appears in 1 semester

B.Tech Chemical Engineering · Sem 5 (Departmental Elective-I)

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Syllabus

5 units · 40 lecture hours
Unit1

Unit 1: Introduction

8 hrs

Process optimization, Formulation of various process optimization problems and their classification, Basic concepts of optimization-convex and concave functions, Necessary and sufficient conditions for stationary points.

Unit2

Unit 2: Optimization of One-Dimensional Functions

8 hrs

Unconstrained multivariable optimization direct search methods, Bracketing methods: Exhaustive search, Bounding phase, Region elimination methods- Interval halving, Fibonacci search, Golden section search, Point Estimation, Successive quadratic estimation methods.

Unit3

Unit 3: Indirect First Order and Second Order Methods

8 hrs

Gradient-based methods-Newton Raphson, Bisection, Secant, Cubic spline, Root-finding using optimization Techniques.

Unit4

Unit 4: Multivariable Optimization Algorithms

8 hrs

Optimality criteria, Unidirectional search, Direct search Methods- Evolutionary optimization, Simplex search, Powell’s conjugate direction, Gradient-based methods- Cauchy’s (steepest descent) method, Newton’s method.

Unit5

Unit 5: Constrained Optimization Algorithms

8 hrs

Kuhn-Tucker conditions, Transformation methods, Penalty function method, Method of multipliers, Sensitivity analysis, Direct search for constraint Minimization-Variable elimination method Advanced techniques for optimization

Course Objectives3 points
  • To provide fundamental knowledge to optimize a process plant.
  • To teach the essential features of optimization-related problems.
  • To teach the fundamentals of linear programming and the principle of optimality.
Course Outcomes (COs)6 outcomes

After completion of the course student will be able to:

  1. CO1Understand the role of optimization in chemical processing plants.
  2. CO2Develop mathematical models for optimizing problems.
  3. CO3Analyze the degree of freedom and complexity of optimization solutions.
  4. CO4Analyze different methods for unconstrained one-dimensional data search
  5. CO5Solve constraint and non-constraint problems
  6. CO6Understand algorithms and programming language
REFERENCE BOOKS7 books
  1. S. NO. Name of Authors/Books/Publishers Year of Publication/ Reprint
  2. T.F. Edgar and D.M. Himmelblau “Optimization of Chemical Process”, McGraw Hill. 2001
  3. K. Urbanier and C. Mc Dermott “Optimal Design of Process Equipment”, John Wiley. 2020
  4. Suman Dutta “Optimization Technique in Chemical Process”, Cambridge University Press. 2020
  5. Chander Mohan and Kusum Deep “Optimization Technique”, New Age Science. 2019
  6. S.S. Rao “Engineering Optimization”, Wiley. 2019
  7. A. Ravindran, K M Ragsdell, and G V Reklaitis “Engineering Optimization: Methods And Applications”, Jhon Wiley. 2019

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Official AKTU syllabus

This subject is on page 19, 20 of the original AKTU PDF.

Official AKTU syllabus PDF ↗