Operations Research Calculations Handbook 1st Edition by Ronald J Tallarida ISBN 0849302633 9780849302633

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Product details:

ISBN 10: 0849302633 
ISBN 13: 9780849302633
Author: Ronald J Tallarida

Operations Research Calculations Handbook 1st Table of contents:

Part I: Linear Programming

• Chapter 1: Basic Concepts and Definitions
  • Formulating Linear Programming (LP) Problems
  • Graphical Solution Method (for 2 variables)
  • Standard Form and Slack/Surplus Variables
• Chapter 2: Simplex Method Calculations
  • Setting up the Simplex Tableau
  • Pivot Operations and Iterations
  • Identifying Optimal Solutions, Unboundedness, and Infeasibility
  • Big M Method and Two-Phase Method (summary of calculations)
• Chapter 3: Duality and Sensitivity Analysis
  • Formulating the Dual LP
  • Duality Theorems (summary of relationships)
  • Shadow Prices / Dual Variables
  • Sensitivity Analysis (RHS changes, objective function coefficient changes)

Part II: Transportation, Assignment, and Transshipment Problems

• Chapter 4: Transportation Problem
  • Formulation
  • Initial Basic Feasible Solutions (Northwest Corner, Least Cost, Vogel’s Approximation Method – calculation steps)
  • Optimality Test (MODI Method / Stepping Stone Method – calculation steps)
• Chapter 5: Assignment Problem
  • Formulation
  • Hungarian Algorithm (calculation steps and interpretation)
• Chapter 6: Transshipment Problem
  • Converting to a Transportation Problem

Part III: Network Models

• Chapter 7: Shortest Path Problems
  • Dijkstra’s Algorithm (steps and examples)
  • Floyd-Warshall Algorithm (steps and examples)
• Chapter 8: Maximum Flow Problems
  • Max-Flow Min-Cut Theorem (concept and calculation)
  • Ford-Fulkerson Algorithm (steps and examples)
• Chapter 9: Minimum Spanning Tree Problems
  • Prim’s Algorithm (steps and examples)
  • Kruskal’s Algorithm (steps and examples)
• Chapter 10: Project Management (PERT/CPM)
  • Network Diagramming (AOA vs. AON)
  • Critical Path Calculation (Earliest Start/Finish, Latest Start/Finish, Slack)
  • Probability of Project Completion (using Normal Distribution)

Part IV: Integer Programming and Dynamic Programming

• Chapter 11: Integer Linear Programming (ILP)
  • Formulation
  • Branch and Bound Method (conceptual overview, basic steps)
  • Gomory Cut Method (brief mention/concept)
• Chapter 12: Dynamic Programming
  • Principle of Optimality
  • Forward and Backward Recursion (example structures for common problems like Knapsack, Shortest Path in a multi-stage graph)

Part V: Inventory and Queueing Models

• Chapter 13: Inventory Models
  • Economic Order Quantity (EOQ) Model (formulas, calculations)
  • EOQ with Quantity Discounts
  • Economic Production Quantity (EPQ) Model
  • Inventory Control with Uncertainty (Reorder Point, Safety Stock)
• Chapter 14: Queueing Theory (Waiting Line Models)
  • Basic Notation and Definitions
  • M/M/1 Model (formulas for Lq, L, Wq, W, P0, Pn)
  • M/M/c Model (formulas for Lq, Wq)
  • Little’s Law

Part VI: Decision Analysis and Game Theory

• Chapter 15: Decision Making Under Uncertainty
  • Payoff Matrices
  • Criteria: Maximax, Maximin, Minimax Regret, Hurwicz, Expected Monetary Value (EMV), Expected Value of Perfect Information (EVPI)
  • Decision Trees (calculation steps)
• Chapter 16: Game Theory
  • Two-Person Zero-Sum Games
  • Pure Strategies (Saddle Point)
  • Mixed Strategies (Graphical Method for 2xN or Nx2, Oddments Method for 2×2)

Part VII: Other Models / Advanced Topics (Concise Summaries)

• Chapter 17: Markov Chains
  • Transition Matrices
  • Steady-State Probabilities (calculations)
• Chapter 18: Simulation
  • Random Number Generation (brief overview)
  • Monte Carlo Simulation (basic steps)
• Chapter 19: Forecasting Methods
  • Moving Averages, Exponential Smoothing (formulas)

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Tags: Ronald J Tallarida, Operations, Research Calculations