Advanced optimization and operations research 1. Mathematical Preliminaries 2. Introduction of OR 3. Revised Simplex Method 4. Dual Simplex Method 5. Bounded Variable Technique 6. Post Optimality Analysis in Linear Programming Problem 7. Integer Programming 8. Convex Function 9. Basics of Unconstrained Optimization. 10. Constrained Optimization with Equality Constraints 11. Constrained Optimization with Inequality Constraints 12. Quadratic Programming 13. Inventory Control Theory 14. Project Management 15. Queueing Theory 16. Flow in Networks 17. Theory of Game. This textbook provides students with fundamentals and advanced concepts in optimization and operations research. It gives an overview of the historical perspective of operations research and explains its principal characteristics tools and applications. The wide range of topics covered includes convex and concave functions simplex methods post optimality analysis of linear programming problems constrained and unconstrained optimization game theory queueing theory and related topics. The text also elaborates on project management including the importance of critical path analysis PERT and CPM techniques. This textbook is ideal for any discipline with one or more courses in optimization and operations research; it may also provide a solid reference for researchers and practitioners in operations research.