We discuss new solution techniques for the p-median problem, with the goal being to improve the solution time and quality of current techniques. In particular, we hybridize the discrete Lloyd algorithm and the vertex substitution heuristic. We also compare three starting point techniques and present a new solution method that provides consistently good results when appropriately initialized.
Lim, G.J., Reese, J., & Holder, A. (2009). Fast and robust techniques for the euclidean p-median problem with uniform weights. Computers & Industrial Engineering, 57(3), 896-905. doi:10.1016/j.cie.2009.03.016
Computers & Industrial Engineering