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Combining Lagrangian heuristic and Ant Colony System to solve the Single Source Capacitated Facility Location Problem

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  • Chen, Chia-Ho
  • Ting, Ching-Jung

Abstract

The facility location problems have been applied extensively in practice. We describe a Multiple Ant Colony System (MACS) to solve the Single Source Capacitated Facility Location Problem (SSCFLP). Lagrangian heuristics have been shown to produce good solutions for the SSCFLP. A hybrid algorithm, which combines Lagrangian heuristic and Ant Colony System (ACS), LH-ACS, is developed for the SSCFLP. The performance of the proposed methods are tested on two sets of benchmark instances and compared with other heuristic algorithms in the literature. The computational results indicate that both MACS and LH-ACS are effective and efficient for the SSCFLP and competitive with other well-known algorithms.

Suggested Citation

  • Chen, Chia-Ho & Ting, Ching-Jung, 2008. "Combining Lagrangian heuristic and Ant Colony System to solve the Single Source Capacitated Facility Location Problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(6), pages 1099-1122, November.
    • Handle: RePEc:eee:transe:v:44:y:2008:i:6:p:1099-1122
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    Cited by:

    1. Di Francesco, Massimo & Gaudioso, Manlio & Gorgone, Enrico & Murthy, Ishwar, 2021. "A new extended formulation with valid inequalities for the Capacitated Concentrator Location Problem," European Journal of Operational Research, Elsevier, vol. 289(3), pages 975-986.
    2. Sarkar, Biswajit & Majumder, Arunava, 2013. "A study on three different dimensional facility location problems," Economic Modelling, Elsevier, vol. 30(C), pages 879-887.
    3. Guastaroba, G. & Speranza, M.G., 2014. "A heuristic for BILP problems: The Single Source Capacitated Facility Location Problem," European Journal of Operational Research, Elsevier, vol. 238(2), pages 438-450.
    4. Chandra Ade Irawan & Martino Luis & Said Salhi & Arif Imran, 2019. "The incorporation of fixed cost and multilevel capacities into the discrete and continuous single source capacitated facility location problem," Annals of Operations Research, Springer, vol. 275(2), pages 367-392, April.
    5. Shangyao Yan & Chun-Ying Chen & Chuan-Che Wu, 2012. "Solution methods for the taxi pooling problem," Transportation, Springer, vol. 39(3), pages 723-748, May.
    6. Lin, C.K.Y., 2009. "Stochastic single-source capacitated facility location model with service level requirements," International Journal of Production Economics, Elsevier, vol. 117(2), pages 439-451, February.
    7. Zeinal Hamadani, Ali & Abouei Ardakan, Mostafa & Rezvan, Taghi & Honarmandian, Mohammad Mehran, 2013. "Location-allocation problem for intra-transportation system in a big company by using meta-heuristic algorithm," Socio-Economic Planning Sciences, Elsevier, vol. 47(4), pages 309-317.
    8. Sune Lauth Gadegaard & Andreas Klose & Lars Relund Nielsen, 2018. "An improved cut-and-solve algorithm for the single-source capacitated facility location problem," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 6(1), pages 1-27, March.
    9. Shuangyan Li & Xialian Li & Dezhi Zhang & Lingyun Zhou, 2017. "Joint Optimization of Distribution Network Design and Two-Echelon Inventory Control with Stochastic Demand and CO2 Emission Tax Charges," PLOS ONE, Public Library of Science, vol. 12(1), pages 1-22, January.
    10. Mohammad Nezhad, Ali & Manzour, Hasan & Salhi, Said, 2013. "Lagrangian relaxation heuristics for the uncapacitated single-source multi-product facility location problem," International Journal of Production Economics, Elsevier, vol. 145(2), pages 713-723.
    11. Raghavan, S. & Sahin, Mustafa & Salman, F. Sibel, 2019. "The capacitated mobile facility location problem," European Journal of Operational Research, Elsevier, vol. 277(2), pages 507-520.
    12. Yang, Zhen & Chu, Feng & Chen, Haoxun, 2012. "A cut-and-solve based algorithm for the single-source capacitated facility location problem," European Journal of Operational Research, Elsevier, vol. 221(3), pages 521-532.
    13. Guillermo Cabrera-Guerrero & Carolina Lagos & Carolina Castañeda & Franklin Johnson & Fernando Paredes & Enrique Cabrera, 2017. "Parameter Tuning for Local-Search-Based Matheuristic Methods," Complexity, Hindawi, vol. 2017, pages 1-15, December.
    14. Huizhen Zhang & Cesar Beltran-Royo & Bo Wang & Ziying Zhang, 2019. "Two-phase semi-Lagrangian relaxation for solving the uncapacitated distribution centers location problem for B2C E-commerce," Computational Optimization and Applications, Springer, vol. 72(3), pages 827-848, April.

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