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Published by Kalyani Publishers, Operations Research by K.K. Chawla, Vijay Gupta, and Bhushan Kumar Sharma is specifically tailored to meet the syllabi of major Indian universities. It serves engineering students (Mechanical, Industrial, and Production), management students (MBA/BBA), and commerce graduates.
| Chapter | Core Theme | Key Techniques / Formulas | Typical Example(s) | |---------|------------|---------------------------|--------------------| | | Definition, history & scope of OR | Decision‑making cycle, modelling steps, classification of problems | Selecting a plant location, scheduling a bus fleet | | 2 – Linear Programming (LP) | Formulation & graphical solution | Standard form, feasible region, convexity, isoprofit lines | Diet problem, product‑mix problem | | 3 – The Simplex Method | Algebraic solution of LP | Basic feasible solution, pivot rules, tableau, dual variables | Maximising profit for a textile mill | | 4 – Duality Theory & Sensitivity Analysis | Dual problem, economic interpretation | Dual LP, complementary slackness, shadow prices, reduced cost | Cost reduction in a cement plant | | 5 – Transportation Problem | Special structured LP | Northwest‑corner, Vogel’s Approximation, MODI method | Shipping grain from farms to markets | | 6 – Assignment Problem | One‑to‑one allocation | Hungarian method, cost matrix, optimality conditions | Assigning workers to jobs | | 7 – Network Models | Shortest path, max flow, min cost flow | Dijkstra’s algorithm, Ford‑Fulkerson, cycle‑canceling | Minimum‑cost routing in a tele‑network | | 8 – Integer Programming (IP) | Discrete decisions | Branch‑and‑bound, cutting planes, formulation tricks | Facility location with indivisible sites | | 9 – Goal Programming & Multi‑Objective LP | Handling multiple goals | Lexicographic, weighted‑sum, pre‑emptive GP | Balancing cost vs. service level | | 10 – Queuing Theory | Stochastic service systems | Birth‑death processes, M/M/1, M/M/c, performance measures (L, W, ρ) | Customer service centre staffing | | 11 – Inventory Models | Economic order quantity & stochastic models | EOQ, (Q,R) policy, (s,S) policy, newsvendor model | Managing spare‑part stocks | | 12 – Decision Analysis | Decision under uncertainty | Decision trees, expected monetary value, utility theory, Bayes rule | Launching a new product with market risk | | 13 – Simulation | Modelling complex, non‑analytical systems | Monte‑Carlo, discrete‑event simulation, variance reduction | Simulating a manufacturing line | | 14 – Game Theory | Strategic interaction | Normal‑form, mixed‑strategy Nash equilibrium, zero‑sum games | Pricing competition between two airlines | | 15 – Modern Topics (Brief) | Heuristics & meta‑heuristics | Genetic algorithms, Tabu search, Simulated annealing, Particle Swarm | Vehicle routing with time windows | | Appendices | Matrices, linear algebra refresher, probability basics, notation guide | — | — | Chawla, Vijay Gupta, and Bhushan Kumar Sharma is
Modeling strategic interactions between different decision-makers.
Once you have the legal copy (borrowed, rented, or bought), here’s how to master OR: performance measures (L
Strategies for moving goods efficiently and assigning tasks to resources to minimize total "cost."