National Institute of Technology Rourkela

राष्ट्रीय प्रौद्योगिकी संस्थान राउरकेला

ଜାତୀୟ ପ୍ରଯୁକ୍ତି ପ୍ରତିଷ୍ଠାନ ରାଉରକେଲା

An Institute of National Importance

Syllabus

Course Details

Subject {L-T-P / C} : CE6032 : Operations Research { 3-0-0 / 3}

Subject Nature : Theory

Coordinator : Dr. Ujjal Chattaraj

Syllabus

Optimization Problem Formulation Introduction to Linear Programming Formulations, Linear Programming Solutions- Graphical Methods, Linear Programming Solutions - Simplex Algorithm, Simplex Algorithm-Minimization Problems, Primal Dual Relationships, Duality Theorems Traditional Optimization Techniques: Lagrangean, Kuhn-Tucker, Linear Programming, Integer Programming, Marginal Analysis, Sensitivity Analysis Non-Traditional Optimization Techniques: Genetic Algorithm Decision Analysis: Introduction to Probability, Decision under Certainty, Decision under Risk, Decision under Uncertainty, Game Theory Markov Chains Queuing Systems Project Scheduling: Program Evaluation and Review Technique (PERT) and Critical Path Method (CPM), Time Chart and Resource Leveling Parameter Estimation Hypothesis Testing Regression Analysis Network Analysis: Travelling Salesman Problem, Shortest Path: Moore’s Algorithm, Dijkastra’s Algorithm, Floyd’s Algorithm.

Course Objectives

  • Civil Engineering operation
  • Planning and scheduling methodologies to complicated Civil Engineering problems
  • System operation and improvement
  • Routing methodologies to networks

Course Outcomes

Mastery in real life solution to emergent Engineering problems

Essential Reading

  • H.A. Taha, Operations Research, Prentice Hall of India
  • F. S. Hillier and G. J. Lieberman, Introduction to Operations Research, Tata McGraw-Hill

Supplementary Reading

  • D.N. Gujarati, Basic Econometrics, Tata McGraw-Hill
  • K. Deb, Multi-Objective Optimization using Evolutionary Algorithms, John Wiley & Sons