JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

Course Objectives:

• Know about optimization of design parameters.
• Know about different design methodologies and simulation processes.

Course Outcomes

After completion of the course, students will be able to:

• Perform Numerical calculations
• Understand Role of design parameters
• Run simulation models like genetic algorithms

UNIT - I

Thermal Systems – Characteristics- formulation of design problem - Steps in the design process - Modeling of thermal systems – importance - Types of models - Mathematical Modeling

UNIT - II

Linear programming models – Formulation - Simplex method – Artificial variable technique – Big M method - Concept of Sensitive analysis.

UNIT - III

Unconstrained Optimization: Single variable optimization – Fibonacci & Golden section method - Multi variable optimization – Gradient methods – Gradient of the function - Steepest descent – Flecher-Reeves method -Variable metric method - Constrained Non-linear Optimization Methods - Lagrangian multiplier – Application to thermal and electrical systems.

UNIT - IV

Geometric programming – Polynomial – Arithmetic and Geometric inequalities – Unconstrained GP - Constrained GP with constraints of type less than or equal- Application to thermal and electrical systems- Dynamic Programming- Bellman’s principle of optimality- shortest route problems

UNIT - V

Simulation - Definition- Types of Simulation models - Steps involved in simulation models - Application of simulation - Advantages and disadvantages – Introduction to Genetic algorithm – Applications in Genetic Algorithm - Similarities and dissimilarities with traditional methods - Genetic operators.

TEXTBOOKS:

• 1. Design and Optimization of Thermal Systems, Yogesh Jaluria, McGraw Hill.
• 2. Optimization theory and applications, S.S.Rao, New Age Publication.

REFERENCES:

• 1. Design of Thermal System, W.F.Stoecker, McGraw Hill.
• 2. Operation Research, Panner Selvam, Prentice Hall.
• 3. Optimization Research, M.C.Joshi.
• 4. Simulation Modeling & Analysis, Law & Kelto.
• 5. Operation Research, S Prinsc Valle Kasur.
• 6. NPTEL online course, Introduction to Optimisation, https://www.youtube.com/playlist?list=PLA8E4E0900B672792 M. Tech – I Semester L T P C 3 0 0 3