Location-allocation of facilities in service systems is an essential factor of their performance. One of the considerable situations which less addressed in the relevant literature is to balance service among customers in addition to minimize location-allocation costs. This is an important issue, especially in the public sector. Reviewing the recent researches in this field shows that most of t...

We address the problem of strategyproof (SP) facility location mechanisms on discrete trees. Our main result is a full characterization onto and SP mechanisms. In particular, we prove that when single agent significantly affects outcome, trajectory almost contained in agent, both move same direction along common edges. show tight relations our to previous results lines continuous then derive fu...