Citation

Barrett R, Caulkins J, Yates A, Elliott DL. Math. Model. 1986; 7(4): 627-652.

Copyright

(Copyright © 1986, Elsevier Publishing)

DOI

10.1016/0270-0255(86)90040-0

PMID

unavailable

Abstract

The optimal locations for two emergency facilities within a hypothetical township are determined in several ways. Exhaustive searches are sufficient to solve the simplier versions of the problem. Arguments are given that extend these results to more general cases. An analytical approach is presented which allows the optimal locations to be found in closed form; these expressions are solved numerically by an efficient computer algorithm which is based on LeChatelier's Principle. A full sensitivity analysis is performed with respect to the problem parameters and suboptimal solutions.