On a constrained optimal location algorithm
Chebyshev center, Constrained approximation, Symmetric hull
Journal of Computational Analysis and Applications
In problems of optimal location, one seeks a position or location that optimizes a particular objective function; this objective function typically relates location and distances to a fixed point set. When one's search is restricted to a given set, we refer to this as a constrained optimal location problem. For a finite point set A, there exist numerous finite algorithms to solve optimal location problems. In this paper we demonstrate how an algorithm, solving optimal location problems in inner-product spaces, can be modified to solve certain constrained optimal location problems. We then apply this modification to a particularly simple (and easily implemented) algorithm and investigate the complexity of the result. In particular we improve a known estimate from exponential to polynomial.
Original Publication Date
DOI of published version
Huotari, Robert and Prophet, M. P., "On a constrained optimal location algorithm" (2003). Faculty Publications. 3354.