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.
|Journal||Computers & Operations Research and their application to problems of world concern: An international journal|
|Publication status||Published - 2011|
Moretti, S., Alparslan-Gok, S. Z., Brânzei, R., & Tijs, S. H. (2011). Connection situations under uncertainty and cost monotonic solutions. Computers & Operations Research and their application to problems of world concern: An international journal, 38(1), 1638-1645. https://doi.org/10.1016/j.cor.2011.02.004