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Operation Research Code: IT504D Contact: 3L + 1T Credits: 4 Module I Linear Programming Problems (LPP): Basic LPP and Applications; Various Components of LP Problem Formulation. Solution of Linear Programming Problems: Solution of LPP: Using Simultaneous Equations and Graphical Method; Definitions: Feasible Solution, Basic and non-basic Variables, Basic Feasible Solution, Degenerate and Nondegenerate Solution, Convex set and explanation with examples. [5L] Solution of LPP by Simplex Method; Charnes’ Big-M Method; Duality Theory. Transportation Problems and Assignment Problems. [12L] Module II Network Analysis: Shortest Path: Floyd Algorithm; Maximal Flow Problem (Ford-Fulkerson); PERT-CPM (Cost Analysis, Crashing, Resource Allocation excluded). [6L] Inventory Control: Introduction to EOQ Models of Deterministic and Probabilistic ; Safety Stock; Buffer Stock. [3L] Module III Game Theory: Introduction; 2-Person Zero-sum Game; Saddle Point; Mini-Max and Maxi-Min Theorems (statement only) and problems; Games without Saddle Point; Graphical Method; Principle of Dominance. [5L] Module IV Queuing Theory: Introduction; Basic Definitions and Notations; Axiomatic Derivation of the Arrival & Departure (Poisson Queue). Poisson Queue Models: (M/M/1): (∞ / FIFO) and (M/M/1: N / FIFO) and problems. [5L] Text Books: 1. H. A. Taha, “Operations Research”, Pearson 2. P. M. Karak – “Linear Programming and Theory of Games”, ABS Publishing House 3. Ghosh and Chakraborty, “Linear Programming and Theory of Games”, Central Book Agency 4. Ravindran, Philips and Solberg - “Operations Research”, WILEY INDIA References:
1. Kanti Swaroop — “Operations Research”, Sultan Chand & Sons 2. Rathindra P. Sen—“Operations Research: Algorithms and Applications”, PHI 3. R. Panneerselvam - “Operations Research”, PHI 4. A.M. Natarajan, P. Balasubramani and A. Tamilarasi - “Operations Research”, Pearson 5. M. V. Durga Prasad – “Operations Research”, CENGAGE Learning 6. J. K. Sharma -
Operation Research Code: IT504D Contact: 3L + 1T Credits: 4 Module I Linear Programming Problems (LPP): Basic LPP and Applications; Various Components of LP Problem Formulation. Solution of Linear Programming Problems: Solution of LPP: Using Simultaneous Equations and Graphical Method; Definitions: Feasible Solution, Basic and non-basic Variables, Basic Feasible Solution, Degenerate and Nondegenerate Solution, Convex set and explanation with examples. [5L] Solution of LPP by Simplex Method; Charnes’ Big-M Method; Duality Theory. Transportation Problems and Assignment Problems. [12L] Module II Network Analysis: Shortest Path: Floyd Algorithm; Maximal Flow Problem (Ford-Fulkerson); PERT-CPM (Cost Analysis, Crashing, Resource Allocation excluded). [6L] Inventory Control: Introduction to EOQ Models of Deterministic and Probabilistic ; Safety Stock; Buffer Stock. [3L] Module III Game Theory: Introduction; 2-Person Zero-sum Game; Saddle Point; Mini-Max and Maxi-Min Theorems (statement only) and problems; Games without Saddle Point; Graphical Method; Principle of Dominance. [5L] Module IV Queuing Theory: Introduction; Basic Definitions and Notations; Axiomatic Derivation of the Arrival & Departure (Poisson Queue). Poisson Queue Models: (M/M/1): (∞ / FIFO) and (M/M/1: N / FIFO) and problems. [5L] Text Books: 1. H. A. Taha, “Operations Research”, Pearson 2. P. M. Karak – “Linear Programming and Theory of Games”, ABS Publishing House 3. Ghosh and Chakraborty, “Linear Programming and Theory of Games”, Central Book Agency 4. Ravindran, Philips and Solberg - “Operations Research”, WILEY INDIA References:
1. Kanti Swaroop — “Operations Research”, Sultan Chand & Sons 2. Rathindra P. Sen—“Operations Research: Algorithms and Applications”, PHI 3. R. Panneerselvam - “Operations Research”, PHI 4. A.M. Natarajan, P. Balasubramani and A. Tamilarasi - “Operations Research”, Pearson 5. M. V. Durga Prasad – “Operations Research”, CENGAGE Learning 6. J. K. Sharma -
References: 1. Kanti Swaroop — “Operations Research”, Sultan Chand & Sons 2. Rathindra P. Sen—“Operations Research: Algorithms and Applications”, PHI 3. R. Panneerselvam - “Operations Research”, PHI 4. A.M. Natarajan, P. Balasubramani and A. Tamilarasi - “Operations Research”, Pearson 5. M. V. Durga Prasad – “Operations Research”, CENGAGE Learning 6. J. K. Sharma - “Operations Research”, Macmillan Publishing Company