OPERATIONS RESEARCH
By: PANNEER, SELVAM R
Material type:
TextPublisher: PHI Subject(s): OVERVIEW OF OPERATIONS RESEARCH Concept of a Model .Steps of Modelling . .Important Topics of Operations Research . .Scope of Operations Research . .Operations Research—A Tool for Decision Support System . .Operations Research—A Productivity Improvement Tool . . Increased Output for the Same Input. . Decreased Input for the Same Output. . Increase in the Output is more than the Increase in the Input . . Decrease in the Input is more than the Decrease in the Output . . Increase in the Output with Decrease in the Input. LINEAR PROGRAMMING .Concept of Linear Programming Model. . Product Mix Problem . . Assumptions in Linear Programming . . Properties of Linear Programming Solution . .Development of LP Models. .Graphical Method. .Linear Programming Methods. . Simplex Method. . Big M Method. . Dual Simplex Method. . Two-phase Method. .Special Cases of Linear Programming. . Identification of Special Cases from Simplex Table. .Duality. . Formulation of Dual Problem. . Application of Duality. .Sensitivity Analysis. . Changes in the Right-hand Side Constants of Constraints. Changes in the Objective Function Coefficients. . Adding a New Constraint. . Adding a New Variable. . .TRANSPORTATION PROBLEM . . Mathematical Model for Transportation Problem. . Types of Transportation Problem. . Balanced Transportation Problem. . Unbalanced Transportation Problem. .Methods to Solve Transportation Problem. . Finding the Initial Basic Solution. . Optimizing the Basic Feasible Solution Applying U—V Method. .Transshipment Model. . Transshipment Problem with Sources and Destinations Acting as Transient Nodes. . Transportation Problem with some Transient Nodes between Sources and Destinations. .Modelling the Transportation Problem with Quantity Discounts. . Model for AQDS. . Model for IQDS. . .ASSIGNMENT PROBLEM .Zero-One Programming Model for Assignment Problem. .Types of Assignment Problem. .Hungerian Method. .Branch-and-Bound Technique for Assignment Problem. . NETWORK TECHNIQUES . Shortest-path Model. . Systematic Method. . Dijkstra's Algorithm. . Floyd's Algorithm. . Minimum Spanning Tree Problem. . PRIM Algorithm. . Kruskal's Algorithm. .Maximal Flow Problem. . Linear Programming Modelling of Maximal Flow Problem. . Maximal Flow Problem (MFP) Algorithm. INTEGER PROGRAMMING Integer Programming Formulations .The Cutting-plane Algorithm . . Branch-and-Bound Technique . .Zero-One Implicit Enumeration Algorithm. . Generalized 0-1 Programming Problem. . Zero-One Implicit Enumeration Technique . . .INVENTORY CONTROL . .Models of Inventory. . Purchase Model with Instantaneous Replenishment and without Shortages. . Manufacturing Model without Shortages . .Purchase Model with Instantaneous Replenishment and with Shortages . .Manufacturing Model with Shortages . .Operation of Inventory System. .Quantity Discount . .Implementation of Purchase Inventory Model. . Fixed Order Quantity System (Q System). . Periodic Review System (P System). . Multiple-item Model with Shortage Limitation. . Purchase Model of Inventory for Multi-item with Inventory Carrying Cost Constraint . .EOQ Model for Multi-item Joint Replenishment. . Purchase Model of Inventory for Multi-item Joint Replenishment without Shortages. . Manufacturing Model of Inventory with Multi-item Joint Replenishment without Shortages. .EOQ for the Purchase Model of Inventory for Multi-item Joint Replenishment with Space Constraint. . Determination of Stock Level of Perishable Items under Probabilistic Condition. . .DYNAMIC PROGRAMMING . .Application of Dynamic Programming . .Capital Budgeting Problem . .Reliability Improvement Problem . .Stage-coach Problem (Shortest-path Problem) . .Cargo Leading Problem . .Minimizing Total Tardiness in Single Machine Scheduling Problem. .Optimal Subdividing Problem . . PROJECT MANAGEMENT . . . Phases of Project Management . . Guidelines for Network Construction . . Critical Path Method (CPM). . Gantt Chart (Time Chart). . Project Evaluation and Review Technique (PERT) . . Crashing of Project Network. . General Guidelines for Network Crashing. . Crashing of Project Network with Cost Trade-off. . Project Scheduling with Constrained Resources. . Resource Levelling Technique . . Resource Allocation Technique . . Decision Tree DECISION THEORY . . Decision under Certainty (Deterministic Decision) . . Decision under Risk . . Expected Value Criterion . . Expected Value Combined with Variance Criterion. . Decision under Uncertainty. . Laplace Criterion. .Maxirnin Criterion . GAME THEORY . . Terminologies of Game Theory . .Game with Pure Strategies . . Game with Mixed Strategies . . Dominance Property . .Graphical Method for 2 x 71 or in x 2 Games . . Linear Programming Approach for Game Theory . . REPLACEMENT AND MAINTENANCE ANALYSIS . . Types of Maintenance . . Types of Replacement Problem . . Determination of Economic Life of an Asset . .Basics of Interest Formulae . . Examples of Determination of Economic Life of an Asset . . Simple Probabilistic Model for Items which Completely Fail . . PRODUCTION SCHEDULING . . . Single-machine Scheduling
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