Title
Modeling cooperation on a class of distribution problems
Abstract
In this paper we study models of cooperation between the nodes of a network that represents a distribution problem. The distribution problem we propose arises when, over a graph, a group of nodes offers certain commodity, some other nodes require it and a third group of nodes neither need this material nor offer it but they are strategically relevant to the distribution plan. The delivery of one unit of material to a demand node generates a fixed profit, and the shipping of the material through the arcs has an associated cost. We show that in such a framework cooperation is beneficial for the different parties. We prove that the cooperative situation arising from this distribution problem is totally balanced by finding a set of stable allocations (in the core of an associated cooperative game). In order to overcome certain fairness problems of these solutions, we introduce two new solution concepts and study their properties.
Year
DOI
Venue
2009
10.1016/j.ejor.2008.09.042
European Journal of Operational Research
Keywords
Field
DocType
OR in strategic planning,Game theory,Supply chain management
Graph,Mathematical optimization,Benefice,Commodity,Supply chain management,Equity (finance),Game theory,Strategic planning,Operations management,Mathematics,Graph Node
Journal
Volume
Issue
ISSN
198
3
0377-2217
Citations 
PageRank 
References 
6
0.77
19
Authors
3
Name
Order
Citations
PageRank
Federico Perea1709.83
Justo Puerto271773.21
Francisco R. Fernández317618.42