https://www.cs.princeton.edu/courses/archive/fall14/cos521/projects/kmedian.pdf

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###### K-median Algorithms: Theory in Practice k-median problem as simply the k-median problem. If X = F = C, a k-median algorithm simply clusters the points in the metric space. 1.3 Existing Theoretical Research There is a large body of existing research on k-median approximation algorithms. A forward greedy algorithm iteratively open facilities by choosing the next unopened facility so as to minimize the cost function de ned above ...

###### K-median Algorithms: Theory in Practice K-median Algorithms: Theory in Practice David Dohan, Stefani Karp, Brian Matejek Submitted: January 16, 2015 1 Introduction 1.1 Background and Notation The k-median problem has received signi cant attention for decades, primarily in computer science and operations research. The problem is generally formalized as follows: Given a metric space X, a set of clients C2X, and a set of facilities F2X ...

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###### Interpolating between k-Median and -Center: Approximation ... theory and ordered-median models, we refer the reader to [8, 7]. In our work, we develop an (18 + )-approximation algorithm for the ordered k-median problem. In Section 2, we ﬁrst develop constant-factor approximation algorithms for the case of f0;1g-weights, which introduces many of the ideas needed to handle the general setting. In Section 3, we generalize these ideas to obtain constant ...

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