Courses   <-  Sean Forman   <-  You Are Here Model Formulation

MAT 2131, Mathematical Programming, Sean Forman

Spring 2005

A drug company produces drug $Z$. Each time a batch is produced the yield of effective drug changes based on the percentage of ingredients $A$, $B$, and $C$ used. The container volume is liters varies ($V$), its pressure in pascals ($P$), and its temperature in $^o$ centigrade ($T$).

$${yield = 300 + 0.8V + 0.01P+0.06T + 0.001T\times P }$$

$${- 0.01 T^2 - 0.001 P^2 + 11.7A + 9.4 B + 16.4 C }$$

$${+ 19A \times B + 11.4 A \times C + 9.6 B \times C}$$

MLB Scheduling

To get started we need to think about how to model the event of a game being played on a certain day between two teams.

$x_{ijk} = 0$ or 1, $i$ is home team, $j$ is visitor, $k$ is day.

$x_{1,2,10} = 1$ means team 2 plays at team 1 on day 10.