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AD-504 (C) RGPV B.Tech

Operations Research (OR)

The official syllabus is free to read, no account needed.

Syllabus, notes and important questions for AD-504 (C)

Syllabus units

Topics as the official RGPV syllabus lists them.

Unit 1 Origin & Development of OR and Linear Programming 13 topics
  • Origin and development of Operations Research (OR)
  • Different phases of OR study
  • Methodology of OR
  • Scope and limitations of OR
  • OR in decision making
  • Linear Programming – introduction
  • Mathematical formulation of LP problems
  • Graphical solution methods
  • Standard forms of LP
  • Simplex method for maximization problems
  • Simplex method for minimization problems
  • Interpretation of duality in LP
  • Dual simplex method
Unit 1 notes
Unit 2 Transportation and Assignment Problems 6 topics
  • Transportation problem (TP) formulation
  • Finding a basic feasible solution for TP
  • Optimal solution methods for TP
  • Assignment problem formulation
  • Hungarian method for solving assignment problems
  • Travelling Salesman Problem (TSP) overview
Unit 2 notes
Unit 3 Project Scheduling – PERT and CPM 9 topics
  • Project scheduling using PERT and CPM with known activity times
  • Critical Path Analysis
  • Types of float (total, free, etc.)
  • Probability considerations in PERT
  • Updating PERT charts
  • Project crashing techniques
  • Formulation of CPM as a linear programming problem
  • Resource leveling
  • Resource scheduling
Unit 3 notes
Unit 4 Sequencing, Job‑Shop Problems and Dynamic Programming 6 topics
  • Introduction to sequencing problems
  • Flow‑shop problem – processing n jobs through 2, 3 and m machines
  • General n/m job‑shop problem
  • Introduction to dynamic programming
  • Dynamic‑programming approach for solving linear programming problems
  • Applications of dynamic programming in OR
Unit 4 notes
Unit 5 Queueing Theory 7 topics
  • Introduction to queuing theory
  • Classification of queuing systems and their characteristics
  • Pure‑birth and pure‑death models
  • Kendall and Lee’s notation for queuing systems
  • Empirical queuing models
  • Numerical analysis of M/M/1 queuing model
  • Numerical analysis of M/M/c queuing model
Unit 5 notes
Read the full syllabus