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CHE
457
Optimization Techniques
Introduction to problem structure and decomposition, functions and regions, single variable functions, multivariable functions, linear programming, geometric programming, dynamic programming.
Prerequisites:
(0600307 or 0600308)
0640457
(3-0-3)

Prerequisites by Topic:

  • Numerical solution of linear and non-linear equations.
  • Power series.
  • Laplace transform methods.
  • Ability to program in a modern language.

Textbook(s):- Optimization in Chemical Engineering, Suman Dutta, 1st ed., Cambridge, 2016

  • Optimization of Chemical Processes, T. Edgar, D.Himmelblau, 2^nd ed, McGraw-Hill, 2001

Reference(s):

Optimization Theory and Practice. Beveridge and Schechter, McGraw-Hill, 1970.

Topics Covered:

  1. Introduction (1 hour)
  2. Problem structure and decomposition (4 hours)
  3. Functions and regions (3 hours)
  4. Classical Analytical Methods (1 hours)
  5. Single variable functions (4 hours)
  6. Multivariable functions (4 hours)
  7. Numerical Methods (1 hour)
  8. Single variable functions (6 hours)
  9. Multivariable functions (8 hours)
  10. Programming Methods (1 hour)
  11. Linear programming (3 hours)
  12. Computer packages (3 hours)
  13. Geometric programming (3 hours)
  14. Dynamic programming (3 hours)

Course Objectives:

  1. To introduce students to the art and science of modeling optimization problems for the chemical industry (1,2,3).
  2. To introduce the various optimization techniques and software for solving linear, nonlinear, and integer optimization problems (1,2).

Performance Criteria:

Objective 1:

  1. Students will be able to formulate optimization problems related to the chemical engineering discipline. (1, 2)
  2. Student will understand importance of optimization in the industry (4)

Objective 2:

  1. Students will understand the various optimization algorithms used for solving linear, integer, and nonlinear problems. Students will know how to use computer packages for solving optimization problems. (1)
  2. Prepare and present a term project to demonstrate use of optimization techniques (3)

Assessment Criteria:

  1. Homework and computer assignments
  2. Midterm Exams
  3. Final Exam
  4. Term Project

ABET Category Content:

Engineering Science: 2 Credits or 67%

Engineering Design: 1 Credit or 33%

Course Classification

Student Outcomes Level (L, M, H) Relevant Activities
1. An ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics. H Develop optimization problem. Construct problem constrains based on scientific facts Select most appropriate technique to obtain correct solution Analyze the results in term of known engineering and science principles
2. An ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors. L Optimize a design of some chemical processes
3. An ability to communicate effectively with a range of audiences. M Perform Term project in a presentation form as well as in written report.
4. An ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts. Apply ethical, environmental, and economic constrains on the optimization problem of a chemical process.
5. An ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives.
6. An ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions.
7. An ability to acquire and apply new knowledge as needed, using appropriate learning strategies.