Abstract
A well-known combinatorial optimization problem, known as the Uncapacitated Facility Location Problem (UFLP) is considered in this paper. Given a set of customers and a set of potential facilities, the objective of UFLP is to open a subset of the potential facilities such that sum of the opening cost for opened facilities and the service cost of customers is minimized. In this paper, deterministic and randomized heuristic algorithms are presented to solve UFLP. The effectivenesses of the proposed algorithms are tested on UFLP instances taken from the OR-Library. Although the proposed deterministic algorithm gives optimal results for most of the instances, the randomized algorithm achieves optimal results for all the instances of UFLP considered in this paper including those for which the deterministic algorithm fails to achieve the optimal solutions.
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References
Krarup, J., Pruzan, P.M.: The simple plant location problem: survey and synthesis. Eur. J. Oper. Res. 12(1), 36–81 (1983)
Balinski, M.: On finding integer solutions to linear programs. Technical Report, DTIC Document (1964)
Erlenkotter, D.: A dual-based procedure for uncapacitated facility location. Oper. Res. 26(6), 992–1009 (1978)
Al-Sultan, K., Al-Fawzan, M.: A tabu search approach to the uncapacitated facility location problem. Ann. Oper. Res. 86, 91–103 (1999)
Sun, M.: Solving the uncapacitated facility location problem using tabu search. Comput. Oper. Res. 33(9), 2563–2589 (2006)
Kratica, J., Tošic, D., Filipović, V., Ljubić, I.: Solving the simple plant location problem by genetic algorithm. RAIRO Oper. Res. 35(01), 127–142 (2001)
Khumawala, B.M.: An efficient branch and bound algorithm for the warehouse location problem. Manag. Sci. 18(12), B–718 (1972)
Garey, M.R., Johnson, D.S.: Computers and intractability: a guide to NP-completeness (1979)
Lenstra, J., Kan, A.R.: Complexity of Packing, Covering and Partitioning Problems. Econometric Institute (1979)
Akinc, U., Khumawala, B.M.: An efficient branch and bound algorithm for the capacitated warehouse location problem. Manag. Sci. 23(6), 585–594 (1977)
Bilde, O., Krarup, J.: Sharp lower bounds and efficient algorithms for the simple plant location problem. Ann. Discrete Math. 1, 79–97 (1977)
Shmoys, D.B., Tardos, É., Aardal, K.: Approximation algorithms for facility location problems. In: Proceedings of the Twenty-Ninth Annual ACM Symposium on Theory of Computing, pp. 265–274. ACM (1997)
Guha, S., Khuller, S.: Greedy strikes back: improved facility location algorithms. J. Algorithms 31(1), 228–248 (1999)
Ghosh, D.: Neighborhood search heuristics for the uncapacitated facility location problem. Eur. J. Oper. Res. 150(1), 150–162 (2003)
Resende, M.G., Werneck, R.F.: A hybrid multistart heuristic for the uncapacitated facility location problem. Eur. J. Oper. Res. 174(1), 54–68 (2006)
Beltran-Royo, C., Vial, J.P., Alonso-Ayuso, A.: Solving the uncapacitated facility location problem with semi-Lagrangian relaxation. Stat. Oper. Res., Rey Juan Carlos University, Mostoles, Madrid, España (2007)
Lazic, N., Frey, B.J., Aarabi, P.: Solving the uncapacitated facility location problem using message passing algorithms. In: International Conference on Artificial Intelligence and Statistics, pp. 429–436 (2010)
Monabbati, E.: An application of a Lagrangian-type relaxation for the uncapacitated facility location problem. Jpn. J. Ind. Appl. Math. 31(3), 483–499 (2014)
Ardjmand, E., Amin-Naseri, M.R.: Unconscious search-a new structured search algorithm for solving continuous engineering optimization problems based on the theory of psychoanalysis. In: Proceedings of Advances in Swarm Intelligence, pp. 233–242. Springer (2012)
Beasley, J.E.: OR-library: distributing test problems by electronic mail. J. Oper. Res. Soc. 1069–1072 (1990)
Hoefer, M.: UflLib, benchmark instances for the uncapacitated facility location problem (2003). http://www.mpi-inf.mpg.de/departments/d1/projects/benchmarks/UflLib
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Atta, S., Mahapatra, P.R.S., Mukhopadhyay, A. (2018). Deterministic and Randomized Heuristic Algorithms for Uncapacitated Facility Location Problem. In: Satapathy, S., Tavares, J., Bhateja, V., Mohanty, J. (eds) Information and Decision Sciences. Advances in Intelligent Systems and Computing, vol 701. Springer, Singapore. https://doi.org/10.1007/978-981-10-7563-6_22
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DOI: https://doi.org/10.1007/978-981-10-7563-6_22
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