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Optimal Locations for Centers in a Network

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  • A. J. Goldman

    (National Bureau of Standards, Washington, D.C.)

Abstract

The problem treated is that of locating n centers (processing facilities) in a network, so as to minimize the total transportation cost associated with their use. On the assumption that all movements occur between a vertex and a center nearest it, Hakimi has shown that only vertex locations for the centers need be considered. The present paper shows that this conclusion remains valid under alternative assumptions more appropriate for some applications.

Suggested Citation

  • A. J. Goldman, 1969. "Optimal Locations for Centers in a Network," Transportation Science, INFORMS, vol. 3(4), pages 352-360, November.
    • Handle: RePEc:inm:ortrsc:v:3:y:1969:i:4:p:352-360
    DOI: 10.1287/trsc.3.4.352
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    Cited by:

    1. Mohammad Mahdi Nasiri & Amir Khaleghi & Kannan Govindan & Ali Bozorgi-Amiri, 2023. "Sustainable hierarchical multi-modal hub network design problem: bi-objective formulations and solution algorithms," Operational Research, Springer, vol. 23(2), pages 1-62, June.
    2. Zheng, Jianfeng & Qi, Jingwen & Sun, Zhuo & Li, Feng, 2018. "Community structure based global hub location problem in liner shipping," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 1-19.
    3. Ortiz-Astorquiza, Camilo & Contreras, Ivan & Laporte, Gilbert, 2018. "Multi-level facility location problems," European Journal of Operational Research, Elsevier, vol. 267(3), pages 791-805.
    4. Zheng, Jianfeng & Zhang, Wenlong & Qi, Jingwen & Wang, Shuaian, 2019. "Canal effects on a liner hub location problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 130(C), pages 230-247.
    5. Wang, Min & Cheng, Qing & Huang, Jincai & Cheng, Guangquan, 2021. "Research on optimal hub location of agricultural product transportation network based on hierarchical hub-and-spoke network model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    6. Ting L. Lei, 2019. "Evaluating the Vulnerability of Time-Sensitive Transportation Networks: A Hub Center Interdiction Problem," Sustainability, MDPI, vol. 11(17), pages 1-13, August.
    7. Farid Momayezi & S. Kamal Chaharsooghi & Mohammad Mehdi Sepehri & Ali Husseinzadeh Kashan, 2021. "The capacitated modular single-allocation hub location problem with possibilities of hubs disruptions: modeling and a solution algorithm," Operational Research, Springer, vol. 21(1), pages 139-166, March.
    8. Chen, Dongxu & Yang, Zhongzhen, 2018. "Systematic optimization of port clusters along the Maritime Silk Road in the context of industry transfer and production capacity constraints," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 109(C), pages 174-189.
    9. Oded Berman & Rongbing Huang, 2007. "The Minisum Multipurpose Trip Location Problem on Networks," Transportation Science, INFORMS, vol. 41(4), pages 500-515, November.
    10. James F. Campbell & Morton E. O'Kelly, 2012. "Twenty-Five Years of Hub Location Research," Transportation Science, INFORMS, vol. 46(2), pages 153-169, May.
    11. Neamatian Monemi, Rahimeh & Gelareh, Shahin & Nagih, Anass & Maculan, Nelson & Danach, Kassem, 2021. "Multi-period hub location problem with serial demands: A case study of humanitarian aids distribution in Lebanon," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 149(C).
    12. Hüseyin Güden, 2021. "New complexity results for the p-hub median problem," Annals of Operations Research, Springer, vol. 298(1), pages 229-247, March.
    13. Vladimir Marianov & Daniel Serra, 2009. "Median problems in networks," Economics Working Papers 1151, Department of Economics and Business, Universitat Pompeu Fabra.
    14. Chang, Yu-Chun & Lee, Wei-Hao & Wu, Chi-Hung, 2019. "Airline new route selection using compromise programming - The case of Taiwan-Europe," Journal of Air Transport Management, Elsevier, vol. 76(C), pages 10-20.
    15. Rahimeh Neamatian Monemi & Shahin Gelareh & Anass Nagih & Dylan Jones, 2021. "Bi-objective load balancing multiple allocation hub location: a compromise programming approach," Annals of Operations Research, Springer, vol. 296(1), pages 363-406, January.
    16. Honora Smith & Daniel Cakebread & Maria Battarra & Ben Shelbourne & Naseem Cassim & Lindi Coetzee, 2017. "Location of a hierarchy of HIV/AIDS test laboratories in an inbound hub network: case study in South Africa," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(9), pages 1068-1081, September.
    17. Saber Shiripour & Milad Hematian & Nezam Mahdavi-Amiri, 2023. "A robust optimization model for dynamic virtual hub location problem under uncertainty using an M/M/C/K queuing model: two metaheuristic algorithms," Operational Research, Springer, vol. 23(3), pages 1-52, September.
    18. Rahmati, Reza & Neghabi, Hossein & Bashiri, Mahdi & Salari, Majid, 2023. "Stochastic regional-based profit-maximizing hub location problem: A sustainable overview," Omega, Elsevier, vol. 121(C).
    19. H K Smith & G Laporte & P R Harper, 2009. "Locational analysis: highlights of growth to maturity," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 140-148, May.

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