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Computer Sotware and Inormation Technology Engineering CSE IT

Resource Management Techniques - CS6704

Resource Management Techniques

LINEAR PROGRAMMING


-:- What Is Operations Research?
-:- Operations Research Models
-:- Solving The OR Model
-:- Queuing and Simulation Models
-:- Art of Modeling
-:- More than Just Mathematics
-:- Phases of an OR Study
-:- Modeling with Linear Programming
-:- Two-Variable LP Model
-:- Graphical LP Solution: Solution of a Maximization Model
-:- Graphical LP Solution: Solution of a Minimization Model
-:- Selected LP Applications: Urban planning
-:- Selected LP Applications: Currency Arbitrage
-:- Selected LP Applications: Investment
-:- Selected LP Applications: Production Planning and Inventory Control
-:- Selected LP Applications: Blending and Refining
-:- Selected LP Applications: Manpower Planning
-:- Selected LP Applications: Additional Applications
-:- Computer Solution With Solver and AMPL
-:- The Simplex Method and Sensitivity Analysis
-:- LP Model in Equation Form
-:- Transition from Graphical to Algebraic Solution
-:- The Simplex Method
-:- Artificial Starting Solution: M-Method and Two-Phase Method
-:- Special Cases in the Simplex Method
-:- Graphical Sensitivity Analysis
-:- Algebraic Sensitivity Analysis-Changes in the Right-Hand Side
-:- Algebraic Sensitivity Analysis-objective Function
-:- Sensitivity Analysis with TORA, Solver, and AMPL

DUALITY AND NETWORKS


-:- Duality and Post-Optimal Analysis
-:- Definition of the Dual Problem
-:- Primal-Dual Relationships
-:- Economic Interpretation of Duality
-:- Additional Simplex Algorithms: Dual Simplex Method and Generalized Simplex Algorithm
-:- Post-Optimal Analysis
-:- Transportation Model and its Variants
-:- Definition of the Transportation Model
-:- Nontraditional Transportation Models
-:- The Transportation Algorithm
-:- The Assignment Model and The Hungarian Method
-:- Transshipment Model
-:- Network Models
-:- Scope and Definition of Network Models
-:- Minimal Spanning Tree Algorithm
-:- Examples of the Shortest-Route Applications or Problem
-:- Shortest-Route Algorithms
-:- Linear Programming Formulation of the Shortest-Route Problem
-:- Maximal flow model
-:- CPM (Critical Path Method) and PERT (Program Evaluation and Review Technique)
-:- CPM AND PERT: Network Representation
-:- CPM AND PERT: Critical Path (CPM) Computations
-:- CPM AND PERT: Construction of the Time Schedule
-:- CPM AND PERT: linear Programming Formulation of CPM
-:- CPM AND PERT: PERT Networks

INTEGER PROGRAMMING


-:- Integer Linear Programming
-:- Capital Budgeting- Integer Linear Programming Illustrative Applications
-:- Set Covering Problem- Integer Linear Programming Illustrative Applications
-:- Fixed Charge Problem- Integer Linear Programming Illustrative Applications
-:- Either Or and If Then Constraints- Integer Linear Programming Illustrative Applications
-:- Integer Programming Algorithms
-:- Branch-and-Bound (B&B) Algorithm
-:- Cutting-Plane Algorithm
-:- Computational Considerations in ILP
-:- Traveling Salesperson Problem (TSP)
-:- Heuristic Algorithms: nearest neighbor and subtour reversal algorithms - Traveling Salesperson Problem (TSP)
-:- B&B Solution Algorithm - Traveling Salesperson Problem (TSP)
-:- Cutting Plane Algorithm - Traveling Salesperson Problem (TSP)
-:- Deterministic Dynamic Programming
-:- Recursive Nature of Computations in DP(Dynamic Programming)
-:- Forward and Backward Recursion- Dynamic Programming
-:- Selected Dynamic Programming(DP) Applications
-:- Knapsack/Fly-Away/Cargo Loading Model- Dynamic Programming(DP) Applications
-:- Work Force Size Model- Dynamic Programming(DP) Applications
-:- Equipment Replacement Model- Dynamic Programming(DP) Applications
-:- Investment Model- Dynamic Programming(DP) Applications
-:- Problem of Dimensionality- Dynamic Programming

CLASSICAL OPTIMISATION THEORY


-:- Classical Optimization Theory
-:- Unconstrained Problems -Classical Optimization Theory
-:- Necessary and Sufficient Conditions -Unconstrained Problems
-:- Newton Raphson Method -Unconstrained Problems
-:- Constrained Problems: Equality Constraints
-:- Inequality Constraints-Karush-Kuhn-Tucker (KKT) Conditions

OBJECT SCHEDULING

Operations Research An Introduction by Hamdy A Taha

Chapter 1 What Is Operations Research


-:- What Is Operations Research?
-:- Operations Research Models
-:- Solving The OR Model
-:- Queuing and Simulation Models
-:- Art of Modeling
-:- More than Just Mathematics
-:- Phases of an OR Study

Chapter 2 Modeling with Linear Programming


-:- Modeling with Linear Programming
-:- Two-Variable LP Model
-:- Graphical LP Solution: Solution of a Maximization Model
-:- Graphical LP Solution: Solution of a Minimization Model
-:- Selected LP Applications: Urban planning
-:- Selected LP Applications: Currency Arbitrage
-:- Selected LP Applications: Investment
-:- Selected LP Applications: Production Planning and Inventory Control
-:- Selected LP Applications: Blending and Refining
-:- Selected LP Applications: Manpower Planning
-:- Selected LP Applications: Additional Applications
-:- Computer Solution With Solver and AMPL

Chapter 3 The Simplex Method and Sensitivity Analysis


-:- The Simplex Method and Sensitivity Analysis
-:- LP Model in Equation Form
-:- Transition from Graphical to Algebraic Solution
-:- The Simplex Method
-:- Artificial Starting Solution: M-Method and Two-Phase Method
-:- Special Cases in the Simplex Method
-:- Graphical Sensitivity Analysis
-:- Algebraic Sensitivity Analysis-Changes in the Right-Hand Side
-:- Algebraic Sensitivity Analysis-objective Function
-:- Sensitivity Analysis with TORA, Solver, and AMPL

Chapter 4 Duality and Post Optimal Analysis


-:- Duality and Post-Optimal Analysis
-:- Definition of the Dual Problem
-:- Primal-Dual Relationships
-:- Economic Interpretation of Duality
-:- Additional Simplex Algorithms: Dual Simplex Method and Generalized Simplex Algorithm
-:- Post-Optimal Analysis

Chapter 5 Transportation Model and Its Variants


-:- Transportation Model and its Variants
-:- Definition of the Transportation Model
-:- Nontraditional Transportation Models
-:- The Transportation Algorithm
-:- The Assignment Model and The Hungarian Method
-:- Transshipment Model

Chapter 6 Network Models


-:- Network Models
-:- Scope and Definition of Network Models
-:- Minimal Spanning Tree Algorithm
-:- Examples of the Shortest-Route Applications or Problem
-:- Shortest-Route Algorithms
-:- Linear Programming Formulation of the Shortest-Route Problem
-:- Maximal flow model
-:- CPM (Critical Path Method) and PERT (Program Evaluation and Review Technique)
-:- CPM AND PERT: Network Representation
-:- CPM AND PERT: Critical Path (CPM) Computations
-:- CPM AND PERT: Construction of the Time Schedule
-:- CPM AND PERT: linear Programming Formulation of CPM
-:- CPM AND PERT: PERT Networks

Chapter 9 Integer Linear Programming


-:- Integer Linear Programming
-:- Capital Budgeting- Integer Linear Programming Illustrative Applications
-:- Set Covering Problem- Integer Linear Programming Illustrative Applications
-:- Fixed Charge Problem- Integer Linear Programming Illustrative Applications
-:- Either Or and If Then Constraints- Integer Linear Programming Illustrative Applications
-:- Integer Programming Algorithms
-:- Branch-and-Bound (B&B) Algorithm
-:- Cutting-Plane Algorithm
-:- Computational Considerations in ILP
-:- Traveling Salesperson Problem (TSP)
-:- Heuristic Algorithms: nearest neighbor and subtour reversal algorithms - Traveling Salesperson Problem (TSP)
-:- B&B Solution Algorithm - Traveling Salesperson Problem (TSP)
-:- Cutting Plane Algorithm - Traveling Salesperson Problem (TSP)

Chapter 10 Deterministic Dynamic Programming


-:- Deterministic Dynamic Programming
-:- Recursive Nature of Computations in DP(Dynamic Programming)
-:- Forward and Backward Recursion- Dynamic Programming
-:- Selected Dynamic Programming(DP) Applications
-:- Knapsack/Fly-Away/Cargo Loading Model- Dynamic Programming(DP) Applications
-:- Work Force Size Model- Dynamic Programming(DP) Applications
-:- Equipment Replacement Model- Dynamic Programming(DP) Applications
-:- Investment Model- Dynamic Programming(DP) Applications
-:- Problem of Dimensionality- Dynamic Programming

Chapter 18 Classical Optimization Theory


-:- Classical Optimization Theory
-:- Unconstrained Problems -Classical Optimization Theory
-:- Necessary and Sufficient Conditions -Unconstrained Problems
-:- Newton Raphson Method -Unconstrained Problems
-:- Constrained Problems: Equality Constraints
-:- Inequality Constraints-Karush-Kuhn-Tucker (KKT) Conditions