Mathematics in the World of Industrial Engineers by Duy Duong-Tran

The influence of mathematics in our society is amazing. For example, mathematics plays a role in the infrastructure of the automobile industry (aerodynamic simulation through the use of math modeling), bioengineering (footwear design through piecewise linear interpolation and modeling), and the aviation industry (cubic spline interpolation at Boeing Research and Development to replace “lofting” technique).

This seminar will discuss the use of mathematics in the world of industrial engineering. Specifically, we will talk about Optimization Problems in the industry using Linear Programming (LP). Surprisingly enough, LP problems often do not employ any computer algorithm techniques, and most mathematics students are exposed to LP problems early in their careers without an official introduction to the topic. Well-known LP techniques can be applied to scheduling, transportation, assignment, capacity planning, network optimization models, project management, facility planning, and capital budgeting problems.

All of these reside under the applied mathematics field called Operations Research (OR). We will go through the technique of solving a couple of problems, and will be surprised at how much impact OR (or more generally mathematics) has upon the success of a manufacturing based corporation.

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