Pre-requisite: Operations Research methods, Linear Programming and Non-linear Programming.
Outline:
Multiple Criteria Decision Making: Basic concepts, static and dynamic optimization, problem formulation, pareto optimality, efficient set, classification of methods.
Utility function method, weighting methods, Graphical Method using weights, Bounded Objective Method, Lexicographic Method, Multi- objective simplex methods by Zelency and Philips.
Linear Goal Programming- deviation variables, Pre-emptive priorities, Graphical Method, Modified Simplex Method, Branch and Bound Method and Cutting Plane Method for integer Goal programming models, Non-Linear Goal Programming- Simplex based Method- Pattern Search Method.
Group Decision Making, Dynamic Programming approach to multi objective Network Problems, Multi objective transportation problem, Genetic Algorithms.
Real-time problems based on student background.
Books:
1. Ralph E. Steur, "Multiple Criteria Optimization Theory, Computation and Application", 1985, John Wiley.
2. J.P. Ignizio, "Goal Programming and Extensions", 1976, Heath Lexington Books.
