Radiation
Linear Programming | |
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MATH340 | |
Section: | 921 |
Instructor: | Tali Pinksky |
Email: | tali@math.ubc.ca |
Office: | Math 229a |
Office Hours: | Wed 1-2 pm or by appointment |
Class Schedule: | Tue-Thu-Fri 2-4 pm, Wed 2-3 pm |
Classroom: | Math Annex 1100 |
Important Course Pages | |
Resources | |
Assignments | |
Discussion | |
Projects |
This is an example taken from "Introduction to Operations Research" by Hillier and Lieberman. This involves establishing the intensities (and possibly also the angles) of several beams, so as to insure the level of radiation received by a tumor is sufficient, while mininmizing the total level of radiation, and refraining from surpassing tolerance levels of nearby organs.
The first goal is to represent this as a linear programming problem (ask me for the relevant part of the book), and then either estimate the size of an actual problem that can be dealt with this way, or calculate a solution for a larger sample problem.