Treffer: Stable source connection and assignment problems as multi-period shortest path problems: Stable source connection and assignment problems...: L. Streekstra, C. Trudeau.

We extend the familiar shortest path problem by supposing that agents have demands over multiple periods. This potentially allows agents to combine their paths if their demands are complementary; for instance if one agent only needs a connection to the source in the summer while the other requires it only in the winter. We not only show that the resulting cost sharing problem always generates a totally balanced game, regardless of the number of agents and periods, the cost structure or the demand profile, but that all totally balanced games are representable as multi-period shortest path problems. We then exploit the fact that the model encompasses many well-studied problems to obtain or reobtain balancedness and total balancedness results for source-connection problems, assignment problems and minimum coloring problems. [ABSTRACT FROM AUTHOR]

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