Department of Process Engineering

https://www.univ-soukahras.dz/en/dept/gp

Lecturer	Sarra delladji
Information	Master - chemical engineering Department of Process Engineering Website : https://www.univ-soukahras.dz/en/module/4590 Semester : S3 Unit : UEF 2.1.1 Credit : 4 Coefficient: 2
Content	1. Introduction 1.1 Definition of optimisation 1.2 Examples of optimisation in process engineering 1.3 Utility of optimisation in engineering 2. Definition of an optimisation problem 2.1 Reminder and definitions : - Objective function-performance criterion ; - Local and global extremum ; - Gradients ; - Hessian matrix; - Optimisation constraints. 2.2 Properties of objective functions - Unimodal and multimodal functions; - Convex and concave functions. 3. Optimisation for unconstrained univariate functions - Indirect methods: Newton, Quasi Newton, Secant ; - Direct methods: Equal intervals, Dichotomy, Fibonacci, Golden section; -Polynomial approximation methods: Quadratic and cubic approximations; - Davies-Swan-Campey methods (successive evaluations) 4 Optimisation for unconstrained multivariable functions - Optimisation along a direction - Direct methods : Methods with orthogonal directions, Simplex method ; - Indirect methods : Gradient method 5. Optimisation with constraints : Linear programming - Definition; - Constraints and feasibility region - Graphical resolution; - Analytical solution 5.1 Examples of linear programming
Evaluation	Continuous assessment: 40%; Exam: 60%. TD Note= (Mini Project (25%) + Micro-interrogation (50%) + Participation and Attendance (25%))