## Table of Contents

**1. Management Science**

The Management Science Approach to Problem Solving

Model Building: Break-Even Analysis

Computer Solution

Management Science Modeling Techniques

Business Usage of Management Science Techniques

Management Science Models in Descision Support Systems

**2. Linear Programming: Model Formulation and Graphical Solution**

Model Formulation

A Maximization Model Example

Graphical Solutions of Linear Programming Methods

A Minimization Model Example

Irregular Types of Linear Programming Problems

Characteristics of Linear Programming Problems

**3. Linear Programming: Computer Solution and Sensitivity Analysis**

Computer Solution

Sensitivity Analysis

**4. Linear Programming: Modeling Examples**

A Product Mix Example

A Diet Example

An Investment Example

A Marketing Example

A Transportation Example

A Blend Example

A Multiperiod Scheduling Example

A Data Envelopment Analysis Example

**5. Integer Programming**

Integer Programming Models

Integer Programming Graphical Solution

Computer Solution of Integer Programming Problems with Excel and QM for Windows

0-1 Integer Programming Modeling Examples

**6. Transportation, Transshipment, and Assignment Problems**

The Transportation Model

Computer Solution of a Transportation Problem

The Transshipment Model

The Assignment Model

Computer Solution of the Assignment Problem

**7. Network Flow Models**

Network Components

The Shortest Route Problem

The Minimal Spanning Tree Problem

The Maximal Flow Problem

**8. Project Management**

The Elements of Project Management

CPM/PERT

Probabilistic Activity Times

Microsoft Project

Project Crashing and Time-Cost Trade-Off

Formulating the CPM/PERT Network as a Linear Programming Model

**9. Multicriteria Decision Making**

Goal Programming

Graphical Interpretation of Goal Programming

Computer Solution of Goal Programming Problems with QM for Windows and Excel

The Analytical Hierarchy Process

Scoring Model

**10. Nonlinear Programming**

Nonlinear Profit Analysis

Constrained Optimization

Solution of Nonlinear Programming Problems with Excel

A Nonlinear Programming Model with Multiple Constraints

Nonlinear Model Examples

**11. Probability and Statistics**

Types of Probability

Fundamentals of Probability

Statistical Independence and Dependence

Expected Value

The Normal Distribution

**12. Decision Analysis**

Components of Decision Making

Decision Making without Probabilities

Decision Making with Probabilities

Decision Analysis with Additional Information

Utility

**13. Queuing Analysis**

Elements of Waiting Line Analysis

The Single-Server Waiting Line System

Undefined and Constant Service times

Finite Queue Length

Finite Calling Population

The Multiple-Server Waiting Line

Additional Types of Queuing Systems

**14. Simulation**

The Monte Carlo Process

Computer Simulation with Excel Spreadsheets

Simulation of a Queuing System

Continuous Probability Distributions

Statistical Analysis of Simulation Results

Crystal Ball

Verification of the Simulation Model

Areas of Simulation Application

**15. Forecasting**

Forecasting Components

Time Series Methods

Forecast Accuracy

Time Series Forecasting Using Excel

Time Series Forecasting Using QM for Windows

Regression Methods

**16. Inventory Management**

Elements of Inventory Management

Inventory Control Systems

Economic Order Quantity Models

The Basic EOQ Model

The EOQ Model with Noninstantaneous Receipt

The EOQ Model with Shortages

EOQ Analysis with QM for Windows

EOQ Analysis with Excel and Excel QM

Quantity Discounts

Reorder Point

Determining Safety Stocks Using Service Levels

Order Quantity for a Periodic Inventory System

**Appendix A**

Normal Table

Chi-Square Table

**Appendix B**

Setting Up and Editing a Spreadsheet

**Appendix C**

The Poisson and Exponential Distributions

Solutions to Selected Odd-Numbered Problems

**Glossary**

** **

**Index**

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**Photo Credits**

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**CD-ROM Modules**