Operations Research Applications and Algorithms 4th Edition by Wayne Winston – Ebook PDF Instant Download/Delivery. 9780357907818 ,0357907817
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ISBN 10: 0357907817
ISBN 13: 9780357907818
Author: Wayne Winston
The market-leading textbook for the course, Winston’s OPERATIONS RESEARCH owes much of its success to its practical orientation and consistent emphasis on model formulation and model building. It moves beyond a mere study of algorithms without sacrificing the rigor that faculty desire. As in every edition, Winston reinforces the book’s successful features and coverage with the most recent developments in the field. The Student Suite CD-ROM, which now accompanies every new copy of the text, contains the latest versions of commercial software for optimization, simulation, and decision analysis.
Operations Research Applications and Algorithms 4th Edition Table of contents:
Chapter 1: Introduction to Operations Research
- What is Operations Research?
- The Role of Optimization in Decision Making
- Problem-Solving Frameworks
- History and Evolution of Operations Research
- Key Applications of Operations Research
Chapter 2: Linear Programming: The Simplex Method
- Introduction to Linear Programming (LP)
- Graphical Solution of LP Problems
- The Simplex Method: Basic Concepts
- Optimality Conditions and the Simplex Algorithm
- Applications of Linear Programming
- Duality in Linear Programming
Chapter 3: Duality and Sensitivity Analysis
- The Concept of Duality in LP
- The Dual Simplex Method
- Sensitivity Analysis in Linear Programming
- Interpreting Changes in Parameters and Constraints
- Economic Interpretations of the Dual
Chapter 4: Integer Programming
- Introduction to Integer Programming (IP)
- Integer Linear Programming Formulation
- Branch and Bound Method
- Cutting Plane Method
- Applications of Integer Programming
- Solving Integer Programming Problems
Chapter 5: Network Flow Models
- Types of Network Flow Problems
- The Shortest Path Problem
- Maximum Flow Problem: Ford-Fulkerson Algorithm
- Minimum Cost Flow Problem
- Applications of Network Flow Models
Chapter 6: Dynamic Programming
- Introduction to Dynamic Programming (DP)
- Optimal Substructure and Overlapping Subproblems
- Solving Problems Using DP: The Bellman Equation
- Applications in Resource Allocation and Inventory Management
- The Knapsack Problem
- Shortest Path and Traveling Salesman Problem (TSP)
Chapter 7: Game Theory and Strategic Decision Making
- Introduction to Game Theory
- Zero-Sum Games and Matrix Games
- Nash Equilibrium and Mixed Strategy Equilibrium
- Applications of Game Theory in Economics and Business
- The Simplex Algorithm for Solving Game Theory Problems
Chapter 8: Markov Chains and Markov Decision Processes
- Introduction to Markov Chains
- Transition Matrices and State Space
- Steady-State Probabilities and Applications
- Markov Decision Processes (MDPs)
- Dynamic Programming in MDPs
- Applications in Queueing and Inventory Control
Chapter 9: Queuing Theory
- Introduction to Queuing Systems
- Key Concepts: Arrival Rate, Service Rate, and Traffic Intensity
- Poisson Queues and Exponential Service Times
- Little’s Law
- The M/M/1 Queue and Variants
- Applications of Queuing Theory in Service Systems
Chapter 10: Inventory Management
- Introduction to Inventory Control Models
- Economic Order Quantity (EOQ) Model
- The Newsvendor Problem
- Multi-Echelon Inventory Systems
- Dynamic Inventory Models
Chapter 11: Nonlinear Programming
- Introduction to Nonlinear Programming (NLP)
- Optimization with Nonlinear Objective Functions
- The Karush-Kuhn-Tucker Conditions
- Constrained Nonlinear Optimization
- Applications of NLP in Engineering and Economics
Chapter 12: Simulation
- Introduction to Simulation Modeling
- Monte Carlo Simulation
- Discrete Event Simulation
- Building Simulation Models
- Random Number Generation and Variance Reduction Techniques
- Applications of Simulation in Operations Research
Chapter 13: Decision Analysis and Decision Trees
- Introduction to Decision Analysis
- Structuring Decision Problems
- Decision Trees and Expected Value
- Risk and Uncertainty in Decision Making
- Sensitivity Analysis in Decision Models
Chapter 14: Advanced Topics in Operations Research
- Goal Programming
- Stochastic Programming
- Nonlinear Optimization
- Approximation Algorithms
- Operations Research in Supply Chain Management
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