Application of the 𝜌-median method for the location of distribution centers: a case study in the food industry

Authors
DOI:
https://doi.org/10.47456/bjpe.v12i4.52631
Keywords:
Distribution center, supply chain, facility location
Abstract

In a dynamic business environment, customer interaction is crucial for companies seeking to optimize logistics processes and strengthen their competitive advantage. This study aims to identify the best locations for three Distribution Centers (DCs) in Ceará for a company in the food industry. It considers the demand history of 114 cities and the existing units in Eusébio and Crato. The methodology applies the 𝜌-median method to determine locations that minimize distribution costs by balancing distance, cost, and service level. The mathematical model seeks to refine logistics by reducing operational expenses and increasing delivery speed. As a result, Sobral, Quixeramobim, and Limoeiro do Norte were identified as the most suitable cities for expansion. Consequently, the redistribution of operations led to a reduction of approximately R$ 1,263 in the average cost per ton, improving the service level to meet growing demand more efficiently.

Author Biographies
  1. Antônio Douglas Araújo dos Santos, Federal University of Ceará

    UFC. https://orcid.org/0009-0003-7583-8879

  2. Juliane Maria Alves Costa, Federal University of Ceará

    UFC. https://orcid.org/0009-0004-5949-5156

  3. Kamille da Silva Costa, Federal University of Ceará

    UFC. https://orcid.org/0009-0007-1143-0988

  4. Heráclito Lopes Jaguaribe Pontes, Federal University of Ceará

    UFC. https://orcid.org/0000-0002-8199-7935

  5. Levi Ribeiro Abreu, Federal University of Ceará

    UFC. https://orcid.org/0000-0002-3773-9787

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Cover Image
"Cover image of the Brazilian Journal of Production Engineering featuring orange industrial robots operating in a modern warehouse, with one robot carrying a cardboard box and automated storage systems in the background. The title reads 'Smart Logistics: Where to Distribute Better?', by Santos, Costa, Costa, Pontes & Abreu (2026). Institutional logos appear along the bottom."
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Published
2026-11-12
Issue
Vol. 12 No. 4 (2026): Regular Issue (October - December) *Continuous Publication of Articles*
Section
LOGISTICS
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Copyright (c) 2026 Santos, A. D. A. dos, Costa, J. M. A., Costa, K. da S., Pontes, H. L. J., & Abreu, L. R.

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How to Cite

Santos, A. D. A. dos, Costa, J. M. A., Costa, K. da S., Pontes, H. L. J., & Abreu, L. R. (2026). Application of the 𝜌-median method for the location of distribution centers: a case study in the food industry. Brazilian Journal of Production Engineering, 12(4), 165-177. https://doi.org/10.47456/bjpe.v12i4.52631