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Operations Research notes: Linear Programming, Simplex, Transportation & OR
Operations Research is a free engineering and applied mathematics handbook covering important course topics, detailed notes, diagrams, equations, formulas and study materials. Download this digital book and reference guide for Diploma, BE, BTech, BSc, MBA and related degree courses. Explore 80 topics across 5 chapters on operations research (OR), decision making, mathematical models, linear programming, simplex methods, transportation and assignment problems, sensitivity analysis, sequencing and replacement models. Useful for university exams, GATE revision, viva, interviews, assignments, projects and quick reference. RELATED ENGINEERING BRANCHES Mechanical Engineering, Industrial Engineering, Production Engineering, Manufacturing Engineering, Computer Science Engineering (CSE), Information Technology (IT), Applied Mathematics, Operations Management and Supply Chain Management. 51 LISTED TOPICS FROM 80 OPERATIONS RESEARCH FUNDAMENTALS 1. Historical Development of Operations Research 2. Decision Making and Its Key Aspects 3. Objectives of Operations Research 4. Definition of Operations Research 5. Characteristics of Operations Research 6. Scope of Operations Research 7. Phases of Solving Operations Research Problems 8. Meaning and Need for Operations Research Models 9. Types of Operations Research Models 10. Advantages of Operations Research Models 11. Characteristics of Operations Research Models 12. Methods for Solving Operations Research Model Problems 13. Operations Research Models LINEAR PROGRAMMING & SIMPLEX METHODS 14. Simplex Method: Maximization Problems 15. Simplex Method: Minimization Problems 16. Artificial Variable Method (Two-Phase Method) 17. Degeneracy in Linear Programming 18. Unrestricted Variable Problems 19. Dual Simplex Method TRANSPORTATION & ASSIGNMENT MODELS 20. Transportation Model 21. Transportation Model: Maximization Problems 22. Degeneracy in Transportation Models 23. Least-Time Transportation Model and Scheduling 24. Purchase and Sale Problems in Linear Programming 25. Transshipment Problems in Transportation Models 26. Scheduling Problems in Assignment Models 27. Sensitivity Analysis in Transportation Models 28. Assignment Model in Linear Programming 29. Traveling Salesman Problem in Assignment Models 30. Transportation vs Linear Programming Models 31. Graphical Methods for Unbounded Linear Programming Solutions 32. Duality in Linear Programming 33. Primal and Dual Problems 34. Sensitivity Analysis in Assignment Models NONLINEAR PROGRAMMING & SEQUENCING 35. Nonlinear Programming 36. Introduction to Sequencing Models 37. Assumptions of Sequencing Models 38. Solving Sequencing Problems 39. Types of Sequencing Problems 40. Traveling Salesman Problem in Sequencing Models REPLACEMENT, MAINTENANCE & STAFFING 41. Replacement Models 42. Failure Mechanisms in Replacement Models 43. Bathtub Curve 44. Maintenance-Related Costs 45. Types of Replacement Problems 46. Replacement of Items with Declining Efficiency 47. Replacement of Items with Increasing Maintenance Costs 48. Comparing Replacement Alternatives 49. Mortality Tables 50. Group Replacement of Items 51. Staffing Problems APP FEATURES • Chapter-wise study notes with technical diagrams and formulas • Easy-to-read, mobile-optimized course material • Quick reference for engineering exams and interviews Use this free Operations Research ebook to revise optimization, scheduling, mathematical decision models and engineering problem-solving techniques.