Connection situations under uncertainty and cost monotonic solutions

• DOI: 10.1016/j.cor.2011.02.004
• Publication Date: 2011-02-17T06:59:38Z
• Authors: Stefano Moretti; S. Zeynep Alparsl...; Rodica Branzei; Stef Tijs
• Keywords: Cooperative cost games; 330; Uncertainty; 02 engineering and technology; 003; 004; Robust spanning trees; Interval data; Obligation rules; 0202 electrical engineering, electronic engineering, information engineering; Minimum cost spanning tree situations; Recherche opérationnelle

This paper deals with cost allocation problems arising from connection situations where edge costs are closed intervals of real numbers. To solve such problems, we extend to the interval uncertainty setting the obligation rules from the theory of minimum cost spanning tree problems, and study their cost monotonicity and stability properties. We also present an application to a simulated ad hoc wireless network using a software implementation of an appealing obligation rule, the P-value.