Introduction to Management Science

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

 

Photo Credits

 

CD-ROM Modules