Given three oil drilling sites, we devise a method to determine the optimal location for a storage facility such that the total length of pipeline required to connect each site to the facility is minimized. First we represent the total distance of piping as the sum of the individual distances between the storage facility and each oil well. From this, both the optimal overall pipeline length and the location of the storage facility which realizes the minimal length can be determined through the first and second partial derivative tests.
This article was previously called Article 25.
"Optimal Location of an Oil Storage Facility,"
Undergraduate Journal of Mathematical Modeling: One + Two:
1, Article 13.
DOI: http://dx.doi.org/10.5038/2326-3618.104.22.168 Available at: http://scholarcommons.usf.edu/ujmm/vol3/iss1/25
Masahiko Saito, Mathematics and Statistics
Scott Campbell, Chemical & Biomedical Engineering