Envy-Free Allocation by Sperner’s Lemma Adapted to Rotation Shifts in a Company

Envy-Free Allocation by Sperner’s Lemma Adapted to Rotation Shifts in a Company

This article discusses a theoretical construction based on the graph theory to rework the space of potential partitions in envy-free distribution. This work has the objective of applying Sperner’s lemma to the distribution of three rotating shifts for three workers who are to cover a 24 h job positi...

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Bibliographic Details
Main Authors: Sagrario Lantarón, Mariló López, Susana Merchán, Javier Rodrigo, José Samuel Rodríguez
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Mathematics
Subjects:
envy-free allocation
rental harmony
probabilistic preferences
combinatorial optimization
Sperner’s lemma
rotating shifts
Online Access:https://www.mdpi.com/2227-7390/9/9/1015

Internet

https://www.mdpi.com/2227-7390/9/9/1015

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