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158 Fuh-Hwa Franklin Liu, Chi-Wei ShihThe procedure allows one to set the bound tolerance in advance to obtain a narrow solutionbound to have shorter CPU time is another advantage of bisecting search method. For the realworldlarge scale problem, the mathematical optimal solution may be not <strong>de</strong>sired. Instead,an acceptable narrow bound would be acceptable as a shorter CPU time that is achieved bysetting a bound tolerance. The proposed formulation (PC-SC2) and procedure are efficient inthe reasonable time limit and exact with good quality of the solution bounds.References[1] Beasley, J.E . (1990). " OR-Library: distributing test problems by electronic mail". Journal of the OperationalResearch Society 41, 1069-1072.[2] Daskin, M. (1995). Network and Discrete Location: Mo<strong>de</strong>ls, Algorithms and Applications. John Wiley and Sons, Inc.,New York.[3] Daskin, M. (2000). "A new approach to solving the vertex p-center problem to optimality: Algorithm andcomputational results". Communications of the Operations Research Society of Japan 45, 428-436.[4] Drezner, Z. (1984). "Thep-center problem: Heuristic and optimal algorithms". Journal of the Operational ResearchSociety 35, 741-748.[5] Elloumi, S., Labbe, M., Pochet, Y. (2004). " A New Formulation and Resolution Method for the p-center Problem".INFORMS Journal on Computing 16, 89-94.[6] Handler, G. Y. (1990). "p-center Problems, in Discrete Location Theory". John Wiley Inc., New York, 305-347.[7] Kariv, O., Hakimi, S. L. (1979). "An algorithmic approach to network location problems, Part 1: The p-centers".SIAM Journal on Applied Mathematics 37, 513-538.[8] Masuyama, S., Ibaraki, T., Hasegawa, T. (1981). "The computational complexity of the m-center problems onthe plane". Transactions IECE Japan E64, 57-64.[9] Owen, S. H., Daskin, M. S. (1998). "Strategic facility location: A review". Europe Journal of Operational Research111, 423-447.[10] Reinelt, G. (1991). "TSPLIB-a travelling salesman problem library". ORSA Journal on Computing 3, 376-384.

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