©
Optimal facility location
Computes a continuous version solution
2024.May.17 01:28:09
File to upload (Optional) Uploaded file '.xlsx', such as faciloc.xlsx.
Sheet name (case sensitive) Excel sheet (if uploaded file; otherwise ignored).
'csv' data Screen data (in 'csv' format, Am or Eu),
ignored (but necessary) if a file is uploaded
Guesses Initial guesses for the solutions (X, Y). •
Show values Show graph coordinates.

From file (uploaded '.xlsx' or inserted '.csv'), computes the (Euclidean) coordinates of the optimal facility location, source, given the coordinates of the destinations. (The sheet named pentagon is in the suggested uploadable Excel file.)

For initial (both) guesses of 0, the centroid will be used.

The uploaded Excel file (xls[x]) can be "European" or "American", as these are identical (not so for 'csv').

The default data lead to a run time of ~2 s. This web page computes the total cost. In another page of ours a relative cost is computed (× 100 ⁄ ∑ Q).

(For security, slash is not allowed in the data.)

References: Plate: FaciLoc

• Weber problem (=.pdf) Encyclopedia of Mathematics (21 August 2014, accessed 22 July 2021).

• Buescu, Jorge, 2009, "O mistério do armazém absorvido.Pdf*, Ingenium, 92–94 (in Portuguese, "The mystery of the absorbed warehouse").

• (Wikipedia) Weber problem (or Fermat-Weber).

• (Wikiwand) Alfred Weber (1868-07-30–1958-05-02, Max Weber's brother).

• Bhattacharya, B. B., 2011, "On the Fermat-Weber Point of a Polygonal Chain and Its Generalizations.pdf, ScholarlyCommons (Wharton Fac. Res. U. of Pennsylvania).

*Pdf means a scanned (image) 'pdf'.

• 1784-07-22: Bessel, Friederich Wilhelm (†1846-03-17, 61 yrs.).

 
 
Valid HTML 4.01! IST http://web.tecnico.ulisboa.pt/~mcasquilho/compute/CISTI_2022/newlocation/P-faciloc.php
Created: 2021-07-22 — Last modified: 2021-07-30