English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, we extend the notions of $\lambda$-cent-dian andgeneralized-center from Facility Location Theory to the more intricate domainof Network Design. Our focus is on the task of designing a sub-network within agiven underlying network while adhering to a budget constraint. Thissub-network is intended to efficiently serve a collection of origin/destinationpairs of demand. % rather than individual points.  The $\lambda$-cent-dian problem studies the balance between efficiency andequity. We investigate the properties of the $\lambda$-cent-dian andgeneralized-center solution networks under the lens of equity, efficiency, andPareto-optimality. We provide a mathematical formulation for $\lambda\geq 0$and discuss the bilevel structure of this problem for $\lambda>1$. Furthermore,we describe a procedure to obtain a complete parametrization of thePareto-optimality set based on solving two mixed integer linear formulations byintroducing the concept of maximum $\lambda$-cent-dian. We evaluate the qualityof the different solution concepts using some inequality measures. Finally, for$\lambda\in[0,1]$, we study the implementation of a Benders decompositionmethod to solve it at scale.

{\lambda}-Cent-Dians and Generalized-Center for Network Design