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Operation Research: Concepts, Techniques and Applications

Operation Research: Concepts, Techniques and Applications
This book is 100% completeLast updated on 2026-09-25

Master Operations Research Through Concepts, Techniques, and Practical Problem-Solving

Learn Linear Programming, Simplex Methods, Transportation, Assignment, TSP, Network Analysis, CPM, PERT, Queuing Theory, Game Theory, and Sequencing through structured explanations, numerical examples, and step-by-step problem-solving techniques.

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About

About

About the Book

Operations Research: Concepts, Techniques, and Applications is a structured and practical guide to understanding the principles, techniques, and applications of Operations Research (OR). The book is designed to help students and learners develop the analytical and mathematical skills required to model problems, evaluate alternatives, optimize resources, and make informed decisions.

Beginning with the fundamentals of Operations Research, the book introduces the evolution, scope, characteristics, applications, models, and phases of an OR study. It then progressively moves into important optimization techniques, including Linear Programming, the Simplex Method, advanced LPP techniques, Transportation Problems, Assignment Problems, and the Travelling Salesman Problem.

The book also covers important project and decision-making techniques such as Network Analysis, CPM, PERT, project crashing, Queuing Theory, Game Theory, and Sequencing Problems.

A major focus of the book is its step-by-step problem-solving approach. Mathematical and analytical concepts are presented in a structured manner so that readers can understand not only the theory behind a technique but also how it can be applied to solve practical problems.

Topics such as the Graphical Method, Big-M Method, Two-Phase Simplex Method, Duality, MODI Method, Vogel’s Approximation Method, Hungarian Method, Little’s Method, Fulkerson’s Rule, CPM, PERT, M/M/1 and M/M/C queuing models, dominance principle, mixed strategies, and Johnson’s Algorithm are presented as part of the learning journey.

The book connects Operations Research techniques with practical situations in business, manufacturing, logistics, transportation, supply chain management, project planning, scheduling, service systems, engineering, and management.

Key Features
  • Systematic coverage of major Operations Research concepts
  • Step-by-step explanation of mathematical techniques
  • Solved numerical problems and practical examples
  • Linear Programming and Simplex-based methods
  • Transportation and Assignment Problems
  • Travelling Salesman Problem
  • Network Analysis and project scheduling
  • CPM and PERT techniques
  • Queuing models and waiting-line analysis
  • Game Theory and decision-making
  • Sequencing problems and scheduling algorithms
  • Applications of OR in real-world decision-making
  • Student-friendly explanations and structured learning

The book is particularly suitable for BCA, BTech, MCA, MBA, MSc Mathematics, MSc Statistics, Engineering, and Management students, as well as educators, researchers, business analysts, and professionals who want to develop a practical understanding of Operations Research.

Whether you are studying OR as part of an academic course, preparing for examinations, strengthening your numerical problem-solving skills, or exploring optimization techniques for practical applications, this book provides a structured foundation for learning and applying Operations Research.

Author

About the Author

Anshuman Mishra

Anshuman Kumar Mishra, M.Tech (Computer Science) Assistant Professor, Doranda College, Ranchi University

Prolific Author of 50+ Books on AI, Machine Learning & Computer Science | 20+ Years Experience

Anshuman Kumar Mishra is a dedicated educator, researcher, and highly prolific author with over 20 years of experience in Computer Science and Information Technology. Holding an M.Tech in Computer Science from BIT Mesra, he brings a rare combination of academic depth and practical teaching expertise.

Currently serving as Assistant Professor at Doranda College under Ranchi University, he has mentored thousands of students, helping them build strong foundations in programming, data science, and artificial intelligence. His student-centric teaching style emphasizes conceptual clarity, hands-on practice, and real-world application.

Anshuman is a prolific author with more than 50 books published across a wide spectrum of computer science and emerging technology domains. From foundational programming languages to advanced topics in Artificial Intelligence, Machine Learning, Reinforcement Learning, Decision Theory, and Computer Vision — his books are widely appreciated by students, educators, and professionals for their clear explanations, strong theoretical foundation, and practical approach.

His extensive body of work reflects his deep commitment to making complex subjects accessible and meaningful for learners at all levels. He is particularly recognized for creating well-structured learning paths that help readers progress from beginner to advanced levels with confidence.

Driven by the mission to democratize quality technical education, Anshuman continues to write and update books that bridge the gap between academic theory and industry practice.

When not teaching or writing, he actively follows and explores new developments in AI, Quantum Machine Learning, and Ethical Intelligence systems.

Contents

Table of Contents

Table of Contents Chapter 1: Introduction to Operations Research 1-18  Evolution and Development of Operations Research  Definitions, Scope, and Applications of Operations Research  Phases of an OR Study  Characteristics and Limitations of Operations Research  Models Used in OR Chapter 2: Linear Programming Problem (LPP) 19-47  Formulation of LPP Problems  Graphical Method for Solving LPP (Two Variables) Chapter 3: The Simplex Method 48-91  Canonical and Standard Forms of LPP  Slack, Surplus, and Artificial Variables  Step-by-Step Solution Using Simplex Method Chapter 4: Advanced LPP Techniques 92-130  Big-M Method and Two-Phase Simplex Method  Degeneracy in LPP  Duality in Linear Programming and Dual Simplex Method Chapter 5: Transportation Problem 131-193  Formulation and Types of Transportation Problems  Initial Basic Feasible Solutions (North-West Corner Rule, Vogel’s Approximation)  Optimization Using MODI Method  Handling Unbalanced and Maximization Cases  Degeneracy in Transportation Problems Chapter 6: Assignment Problem 194-222  Formulation and Hungarian Method for Solution  Special Cases: Unbalanced and Maximization Assignment Problems Chapter 7: Travelling Salesman Problem (TSP) 223-235  Differences Between Assignment and TSP  Finding the Best Route Using Little’s Method Chapter 8: Network Analysis 236-264  Basics of Network Analysis  Construction of Networks and Fulkerson’s Rule  AON and AOA Diagrams Chapter 9: Project Scheduling Techniques 265-293  Critical Path Method (CPM) – Expected Completion Time and Float Determination  PERT Analysis – Probability of Completing a Project on Time  Cost Analysis and Crashing of Networks Chapter 10: Queuing Theory 294-316  Introduction to Queuing Systems and Their Characteristics  Kendall & Lee’s Notation for Queuing Models  Empirical Queuing Models – M/M/1 and M/M/C Models Chapter 11: Game Theory 317-344  Pure Strategy Problems and Saddle Point Solutions  Max-Min and Min-Max Criteria  Principle of Dominance in Game Theory  Mixed Strategy Solutions – Arithmetic and Graphical Methods Chapter 12: Sequencing Problems 345-367  Basic Assumptions in Sequencing  Johnson’s Algorithm and Priority Rules  Sequencing ‘n’ Jobs on Two and Three Machines  Sequencing Two Jobs on ‘m’ Machines

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