Mathematical Decision Making: Predictive Models and Optimization

Mathematical Decision Making: Predictive Models and Optimization « Series from 2023

Series from 2023

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Genres: Special Interest

Researchers have perfected mathematical techniques for predicting the best possible outcomes when faced with conflicting options. Now, all you need is a computer and spreadsheet program to harness the power of these methods for solving practical problems.

Discover the endless ways in which applying quantitative methods helps problem solvers like you make better decisions.

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The Operations Research Superhighway

Survey the extraordinary range of applications for operations research and predictive analytics. Professor Stevens defines these fields, previews the mathematical techniques that underlie them, and charts their history, from World War II defense research to their rapid growth in the computer era.

Forecasting with Simple Linear Regression

Linear regression is a powerful method for describing connections between related quantities. Analyze several problems using linear regression. For example, predict the waiting time for an eruption of the Old Faithful geyser based on how long the previous eruption lasted.

Nonlinear Trends and Multiple Regression

Explore more complex linear regression problems, which involve nonlinear functions and/or multiple inputs. Many real-life situations require these approaches, called transformation of variables and multiple linear regression. Learn how to envision the data graphically, and witness the ease with which spreadsheets solve these problems.

Time Series Forecasting

Time series forecasting is a valuable tool when there's little data on what drives a process. Using the example of U.S. housing starts, learn how to glean information from historical figures, taking into account both long-term trends and seasonal fluctuations to create a forecast and assess its reliability.

Data Mining - Exploration and Prediction

Plunge into the fast-growing field of data mining, which exploits computational power and innovative algorithms to analyze the ever-increasing deluge of data. Focus on classification and prediction, seeing how classification trees can help solve the problem of building a filter that predicts spam email messages.

Data Mining for Affinity and Clustering

Delve deeper into data mining by exploring affinity analysis, or "what goes with what." One approach uses association rules to discover relevant connections between variables, while another employs clustering. For example, Pandora Radio uses these tools to make music recommendations based on a listener's song preferences.

Optimization - Goals, Decisions, and Constraints

Linear Programming and Optimal Network Flow

Scheduling and Multiperiod Planning

Visualizing Solutions to Linear Programs

Solving Linear Programs in a Spreadsheet

Sensitivity Analysis - Trust the Answer?

Integer Programming - All or Nothing

Where Is the Efficiency Frontier?

Programs with Multiple Goals

Optimization in a Nonlinear Landscape

Nonlinear Models - Best Location, Best Pricing

Randomness, Probability, and Expectation

Decision Trees - Which Scenario Is Best?

Bayesian Analysis of New Information

Markov Models - How a Random Walk Evolves

Queuing - Why Waiting Lines Work or Fail

Monte Carlo Simulation for a Better Job Bid

Stochastic Optimization and Risk