On $$\lambda $$ λ -cent-dians and generalized-center for network design: definitions and properties

Víctor Bucarey (), Natividad González-Blanco (), Martine Labbé () and Juan A. Mesa ()
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Víctor Bucarey: Universidad de O’Higgins
Natividad González-Blanco: Universidad Loyola Andalucía
Martine Labbé: Université Libre de Bruxelles
Juan A. Mesa: Universidad de Sevilla

Annals of Operations Research, 2025, vol. 347, issue 3, No 2, 1193-1211

Abstract: Abstract In this paper, we extend the notions of $$\lambda $$ λ -cent-dian and generalized-center from Facility Location Theory to the more intricate domain of Network Design. Our focus is on the task of designing a sub-network within a given underlying network while adhering to a budget constraint. This sub-network is intended to efficiently serve a collection of origin/destination pairs of demand. The $$\lambda $$ λ -cent-dian problem studies the balance between efficiency and equity. We investigate the properties of the $$\lambda $$ λ -cent-dian and generalized-center solution networks under the lens of equity, efficiency, and Pareto-optimality. We finally prove that the problems solved here are NP-hard.

Keywords: $$\lambda $$ λ -cent-dian problem; Generalized-center problem; Network design; Pareto-optimality (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10479-025-06536-5

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